University General Course Catalog 2022-2023 
    
    Jun 26, 2024  
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8. Course Descriptions

Note: Sequencing rules in effect for many Math courses prohibit students from earning credit for a lower numbered Math course after receiving credit for a higher numbered Math course. Sequencing rules are included in the course descriptions of applicable courses.
 

Materials Science and Engineering
  

  • MSE 655 - Electrochemical Engineering

    (3 units)
    Fundamentals of electrochemical engineering; in-depth study of Industrial Applications of Electrochemical Engineering. (CHE 655 and MSE 655 are cross-listed; credit may be earned in one of the two.)

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 656 - Batteries

    (3 units)
    An introduction to the various types of batteries; energy storage and conversion, various components of the batteries with respect to their properties and experimental methods to study them.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.
    4. communicate effectively.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 657 - Introduction to Biomaterials

    (3 units)
    Principles underlying the use of materials in biological systems and applications. Topics include structure, properties and classes of materials, characterization, materials performance and biological response.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 661 - Physical Metallurgy II

    (3 units)
    Supplementary and advanced treatment of topics introduced in MSE 250 .

    Grading Basis: Graded
    Units of Lecture: 2
    Units of Laboratory/Studio: 1
    Offered: Every Spring - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 665 - Nuclear Power Fundamentals

    (3 units)
    Nuclear physics, radioactive decay, nuclear reactor design, components of nuclear power plant, nuclear fuel, criticality/reactivity, nuclear fuel cycle, fission reactors, radioactive waste management.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 666 - Nuclear Fuel Cycle

    (3 units)
    Steps in the Nuclear Fuel Cycle: mining to fuel development, usage and waste management.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 667 - Radiation Detection and Measurement

    (3 units)
    Fundamentals of ionizing radiation detection and measurement.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 668 - Nuclear Materials

    (3 units)
    Materials usage conditions, requirement, fabrication, performance, and corrosion and radiation damage in Nuclear plants.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 670 - Polymeric and Composite Materials

    (3 units)
    Overview of polymeric and contemporary composite materials, physical properties effect on material selection and engineering design.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 674 - Non-Crystalline Solids

    (3 units)
    This course provides an introduction into non-crystalline solids with an emphasis on oxide and metallic glasses. The course will begin with an examination of kinetic theories of glass formation, followed by an exploration of composition-structure and property relationships, which can be tailored to fulfill particular sets of product requirements. Amorphous materials and fabrication techniques will also be discussed.

    Maximum units a student may earn: 3

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. communicate effectively with a range of audiences.
    2. develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
    3. acquire and apply new knowledge as needed, using appropriate learning strategies.
    4. demonstrate understanding of research methodology.
    5. demonstrate understanding of specific advanced glass systems.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 676 - Phase-field Modeling of Physical Phenomena

    (3 units)
    Introduction to the concept of phase-field modeling to study various physical phenomena. It gives hands-on information on state-of-the-art numerical tools to adapt students into the field of computational engineering.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
    2. function effectively on a team whose members together provide leadership, create a collaborative environment, establish goals, plan tasks, and meet objectives.
    3. develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
    4. apply engineering research and theory to advance the art, science, and practice of the discipline.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 698 - Special Topics in Materials

    (3 units)
    Topics  not covered in other classroom-based course offerings.

    Maximum units a student may earn: 3

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics.
    2. develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
    3. acquire and apply new knowledge as needed, using appropriate learning strategies.
    4. apply engineering research and theory to advance the art, science, and practice of the discipline.
    5. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.understand research methodology.
    6. demonstrate appropriate and sound research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 703 - Advanced Physical Metallurgy

    (3 units)
    Advanced treatments of mechanical deformation, dislocation theory, surface structure, solidification, annealing, phase transformations, hardening mechanisms in steel and other selected topics.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 710 - Electron Microscopy

    (3 units)
    Basics of diffraction, image formation, and elemental analysis in the scanning and transmission of electron microscopes.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 711 - Advanced Corrosion Principles

    (3 units)
    Advanced electrochemical theory of corrosion mechanism. Experimental technique in study of corrosion. Evaluation of current research progress in various topics in corrosion taken from the literature.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 715 - X-Ray Diffraction

    (3 units)
    Theory of X-ray diffraction and methods used in obtaining and interpreting X-ray diffraction diagrams.

    Grading Basis: Graded
    Units of Lecture: 1
    Units of Laboratory/Studio: 2
    Offered: Every Spring - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 721 - Alloy Selection and Failure Analysis

    (3 units)
    Fundamentals of alloying element behavior in metals. Alloying for mechanical strength and corrosion resistance. Identification and prevention of various failure modes including fracture, corrosion and wear.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 725 - Solidification and Crystal Growth

    (3 units)
    Fundamental physical phenomena governing solidification and crystal growth in solid, liquid, and vapor phases. Includes discussion of application in various material categories.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 728 - Interfacial Phenomena

    (3 units)
    Surface chemical and physical phenomena associated with the boundary between two phases.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 738 - Advanced Ceramic Materials

    (3 units)
    Special methods for production, processing. Advanced concepts in phase equilibria, transformation, grain growth and sintering and properties in application of ceramic materials problems.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 742 - Electronic Structure Theory and Applications

    (3 units)
    The objective of this course is to discuss the electronic structure theory and applications, i.e. the basic theory and methods of the electron structure calculation and their applications to predict materials properties.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. have an understanding of research methodology.
    3. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 751 - Physics of Metals

    (3 units)
    Theoretical study of the metallic state. Emphasis upon crystal structure, elastic and plastic properties, crystal imperfections and thermal and magnetic properties.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 761 - Advanced Metallurgical Thermodynamics

    (3 units)
    Applications of thermodynamics to physicochemical hydrodynamic and pyrometallurgical unit processes.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 762 - Statistical Thermodynamics

    (3 units)
    Introduction to statistical thermodynamics with applications to metallurgy and chemical engineering. (CHE 762 and MSE 762 are cross-listed; credit may be earned in one of the two.)

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 765 - Diffusion in Materials

    (3 units)
    The diffusion process in metals and alloys, including Fick’s laws, multi-component diffusion, numerical and analytical approaches, the influence of defects, and applications in industry.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 790 - Seminar

    (1 unit)
    Guest speakers, faculty, or students will make presentations and discuss research topics. (CHE 790 and MSE 790 are cross-listed; credit may be earned in one of the two.)

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Units of Lecture: 1
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 791 - Special Topics

    (1 to 5 units)
    Specialized study in a selected subject pertaining to materials science and engineering.

    Maximum units a student may earn: 9

    Grading Basis: Graded
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 792 - Supervised Research

    (1 to 3 units)
    Individual or small group research and design projects with faculty supervision (separate from thesis or dissertation projects).

    Maximum units a student may earn: 9

    Grading Basis: Graded
    Units of Independent Study: 1
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 795 - Comprehensive Examination

    (1 to 3 units)
    Course is used by graduate programs to administer comprehensive examinations either as an end of program comprehensive examination or as a qualifying examination for doctoral candidates prior to being advanced to candidacy.

    Maximum units a student may earn: 3

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Independent Study: X
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 797 - Thesis

    (1 to 6 units)
    Grading Basis: Graded
    Units of Independent Study: X
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 799 - Dissertation

    (1 to 24 units)
    For majors in the materials science engineering doctoral program only.

    Grading Basis: Graded
    Units of Independent Study: X
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information
  

  • MSE 899 - Graduate Advisement

    (1 to 4 units)
    Provides access to faculty for continued consultation and advisement. No grade is filed and credits may not be applied to any degree requirements. Limited to 8 credits (2 semester) enrollment. For non-thesis master’s degree students only.

    Maximum units a student may earn: 8

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Independent Study: X
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply engineering research and theory to advance the art, science, and practice of the discipline.
    2. design and conduct experiments as well as to analyze, interpret, apply, and disseminate the data.
    3. understand research methodology.


    Click here for course scheduling information. | Check course textbook information

Mathematics
  

  • MATH 19 - Fundamentals of College Mathematics I

    (3 units)
    The first half of a 2-semester course covering MATH 120  content. Presentation is adapted to needs of students with learning or physical disabilities. Enrollment by departmental permission. (Credit does not apply to any baccalaureate degree program.)

    Prerequisite(s): ACT of 22 or SAT of 530 or ALEKS PPL of 46 of MATH 096 with a “C” or above or an “S”.

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Lecture: 3
    Offered: Every Fall

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. formulate and use mathematical models to analyze real-world situations.
    2. determine and implement an appropriate method of solution for financial problems.
    3. solve basic probability problems.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 20 - Learning Support for MATH 120E

    (1 academic progress unit)
    Basic properties of the real numbers; problem solving, linear equations. Graphing functions. (Credit does not apply to any baccalaureate degree program.) (Departmental consent is required to drop this course.)

    Maximum units a student may earn: 1

    Prerequisite(s): ACT less than 22 or SAT less than 530 or ALEKS PPL less than 46. Corequisite(s): MATH 120E .

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Lecture: 1 academic progress unit
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate their understanding of the importance of the correct order of operations by evaluating expressions, either in writing or verbally when called upon in class, as to the application of the correct order of operations.
    2. demonstrate their ability to simplify algebraic expressions when called upon in class, or in writing, or both.
    3. demonstrate their understanding of how to simplify exponential expressions through application of rules of exponents.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 24 - Learning Support for MATH 124E

    (2 academic progress units)
    Exponents Rules, radicals, interval notation, factoring, rational expressions, Pythagorean Theorem, rationalization. (Credit does not apply to any baccalaureate degree program.)

    Corequisite(s): MATH 124E.

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Lecture: 2
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. factor quadratic expressions.
    2. simplify rational expressions.
    3. rationalize radical expressions.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 26B - Learning Support for MATH 126E

    (2 academic progress units)
    Multiplying, dividing and factoring polynomial expressions. Solving polynomial and rational equations. Algebraic techniques involving exponents and radicals. (Credit does not apply toward any baccalaureate degree program.) (Departmental consent is required to drop this course.)

    Prerequisite(s): MATH 20 or ACT of 20 or SAT of 520 or ALEKS PPL of 30-45. Recommended Preparation: Take a math placement test if 10 years have passed since completion of the prerequisite.

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Lecture: 2
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate their ability to divide and then factor polynomials through in-class presentation, in writing, or both.
    2. demonstrate their ability to add, subtract, multiply or divide rational expressions through either or both of in-class presentations and written assignments.
    3. demonstrate their ability to simplify expressions, either through in-class participation or in writing, or both, using the laws of exponents.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 26C - Learning Support for MATH 126EE

    (3 academic support units)
    Multiplying, dividing and factoring polynomial expressions. Solving polynomial and rational equations. Algebraic techniques involving exponents and radicals. (Credit does not apply toward any baccalaureate degree program.) (Departmental consent is required to drop this course.)

    Prerequisite(s): ACT less than 19 or SAT less than 510 or ALEKS PPL less than 30. Corequisite(s): MATH 126EE .

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Lecture: 3 academic progress units
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate their ability to divide and then factor polynomials through in-class presentation, in writing, or both.
    2. demonstrate their ability to add, subtract, multiply or divide rational expressions through either or both of in-class presentations and written assignments.
    3. demonstrate their ability to simplify expressions, either through in-class participation or in writing, or both, using the laws of exponents.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 95 - Elementary Algebra

    (3 academic progress units)
    Preparation for Intermediate Algebra. Topics include the fundamental operations on real numbers, inequalities in one variable, polynomials, integer exponents, and solving quadratic equations by factoring. Credits do not apply toward any baccalaureate program. (Departmental consent is required to drop this course.)

    Grading Basis: Satisfactory/Unsatisfactory
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. identify, simplify and calculate using laws of exponents, order of operations.
    2. compute fluently with fractions, decimals, percents, and integers.
    3. simplify and evaluating algebraic expressions.
    4. solve linear equations and inequalities.
    5. identify the components of the Cartesian coordinate system.
    6. create and interpret graphs.
    7. solve systems of linear equations.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 95A - Learning Support for MATH 120E

    (1 academic progress unit)
    Basic properties of the real numbers; problem solving, linear equations. Graphing functions. (Credit does not apply to any baccalaureate degree program.) (Departmental consent is required to drop this course.)

    Prerequisite(s): ACT less than 22 or SAT less than 530 or ALEKS PPL less than 46. Corequisite(s): MATH 120E .

    Grading Basis: Satisfactory/Unsatisfactory
    Units of Lecture: 1 academic progress unit
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate their understanding of the importance of the correct order of operations by evaluating expressions, either in writing or verbally when called upon in class, as to the application of the correct order of operations.
    2. demonstrate their ability to simplify algebraic expressions when called upon in class, or in writing, or both.
    3. demonstrate their understanding of how to simplify exponential expressions through application of rules of exponents.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 96 - Intermediate Algebra

    (3 academic progress units)
    Basic properties of the real numbers; standard algebraic techniques, including exponents, factoring, fractions, radicals; problem solving; linear and quadratic equations; the concept of graphing. (Credit does not apply to any baccalaureate degree program.) (Departmental consent is required to drop this course.)

    Prerequisite(s): ACT math score of 19 or SAT math score of 510 or satisfactory score on an appropriate placement test as determined by the Math & Stat Department OR MATH 95 .

    Grading Basis: Satisfactory/Unsatisfactory
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. simplify, add, subtract, multiply, and divide rational expressions and functions.
    2. simplify, add, subtract, multiply, and divide radical expressions and functions.
    3. solve quadratic equations by factoring, using the square root property, completing the square, and by the quadratic formula.
    4. solve compound inequalities, absolute value inequalities, and absolute value equations.
    5. solve and graph linear equations and inequalities in two variables.
    6. recognize function notation and distinguish functions from relations.
    7. simplify expressions with integer and rational exponents.


    Click here for course scheduling information. | Check course textbook information
  

  • MATH 96D - Algebra Review for Math 126

    (0 units)
    Multiplying, dividing and factoring polynomial expressions. Solving polynomial and rational equations. Algebraic techniques involving exponents and radicals. (Credit does not apply toward any baccalaureate degree program.) (Departmental consent is required to drop this course.)

    Prerequisite(s): MATH 95A  or ACT math score of 20 or SAT math score of 520 or satisfactory score on an appropriate placement test as determined by the Math & Stat Department.

    Grading Basis: Satisfactory/Unsatisfactory
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate their ability to divide and then factor polynomials through in-class presentation, in writing, or both.
    2. demonstrate their ability to add, subtract, multiply or divide rational expressions through either or both of in-class presentations and written assignments.
    3. demonstrate their ability to simplify expressions, either through in-class participation or in writing, or both, using the laws of exponents.


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  • MATH 119 - Fundamentals of College Mathematics II

    (3 units)
    A continuation of MATH 19  covering remaining topics of MATH 120 . Presentation is adapted to needs of students with learning or physical disabilities. Enrollment by departmental permission. (This course satisfies the University Core Mathematics requirement.)

    Prerequisite(s): MATH 19.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. formulate and use mathematical models to analyze real-world situations.
    2. determine and implement an appropriate method of solution for financial problems.
    3. solve basic probability problems.


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  • MATH 120 - Fundamentals of College Mathematics

    (3 units) CO2
    Sets, logic; probability, statistics; consumer mathematics; variation; geometry and trigonometry for measurement; linear, quadratic, exponential and logarithmic functions. Emphasis on problem solving and applications. (Credit may not be received for MATH 120 if credit has already been awarded for MATH 127  or above. This course satisfies the University Core Mathematics requirement.)

    Prerequisite(s): ACT of 22 OR SAT of 530 OR ALEKS PPL of 46-60 OR MATH 96 with a “C” or above or an “S” OR Math 20 with an “S” OR High School Algebra I with an “A”. Recommended Preparation: Take a math placement test before registering if 10 years have passed since completion of the prerequisite.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. formulate and use mathematical models to analyze real-world situations.
    2. determine and implement an appropriate method of solution for financial problems.
    3. solve basic probability problems.


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  • MATH 120E - Fundamentals of College Mathematics Expanded

    (3 units) CO2
    Covers the same material as Math 120 and requires concurrent enrollment in a specific section of Math 20. Students who enroll in Math 120E will be added to the correct section of Math 20 by Admissions & Records staff within 2 working days. This course satisfies the University Core Mathematics requirement.

    Prerequisite(s): ACT less than 22 or SAT less than 530 or ALEKS PPL less than 46. Corequisite(s): MATH 20 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. formulate and use mathematical models to analyze real-world situations.
    2. determine and implement and appropriate method of solution for financial problems.
    3. solve basic probability problems.


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  • MATH 122 - Number Concepts for Elementary School Teachers

    (3 units)
    Mathematics needed by those teaching new-content mathematics at the elementary school level with emphasis on the structure of the real number system and its subsystems. Open only to elementary, dual, and special education majors and to others with department approval.

    Prerequisite(s): ACT score of 22, SAT score of 530, satisfactory score on a suitable readiness exam, or completion of Core Math CO2 with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. add subtract multiply and divide integers, rational numbers, and real numbers in standard and non-standard ways.
    2. solve, create, and interpret elementary fraction problems.
    3. solve, create, and interpret elementary percent, decimal and ratio problems.


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  • MATH 123 - Statistical and Geometrical Concepts for Elementary School Teachers

    (3 units)
    Continuation of MATH 122 . (This course does not satisfy the university core mathematics requirement.)

    Prerequisite(s): MATH 122 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. identify, classify, and discuss basic geometric shapes used in K-8 classrooms.
    2. apply and invent formulas for volume, area, surface area and perimeter on basic geometric shapes and extensions of those shapes.
    3. calculate statistical formulas including mean, mode, median, standard deviation and range on small data sets and interpret their meanings.


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  • MATH 124 - College Algebra

    (3 units) CO2
    Equations and inequalities; relations and functions; linear, quadratic, polynomial, exponential, and logarithmic functions; systems of linear equations. (Credit may not be received for MATH 124 if credit has already been awarded for MATH 128 or above). (This course satisfies the University Core Mathematics requirement).

    Prerequisite(s): ACT score of 19 or SAT score of 510. Recommended Preparation: Take a math placement test before registering for MATH 124 if ten or more years have passed since completion of the prerequisite coursework.

    Grading Basis: Graded
    Units of Lecture: 2
    Units of Discussion/Recitation: 1
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. solve equations involving quadratic functions.
    2. evaluate logarithmic expressions.
    3. solve a system of equations involving linear functions.


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  • MATH 124E - College Algebra Expanded

    (3 units) CO2
    Covers the same material as MATH 124 and requires concurrent enrollment in a specific section of MATH 24. Students who enroll in MATH 124E will be added to the correct section of MATH 24 by Admissions & Records staff within 2 working days. May satisfy the Core Mathematics requirement for some majors.

    Corequisite(s): MATH 24. Recommended Preparation: Take a math placement test before registering for MATH 124E if ten or more years have passed since completion of the prerequisite coursework.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. solve equations involving quadratic functions.
    2. evaluate logarithmic expressions.
    3. solve a system of equations involving linear functions.


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  • MATH 126 - Precalculus I

    (3 units) CO2
    Fundamentals of algebra; polynomial, rational, exponential, and logarithmic functions, their graphs, and applications; complex numbers; absolute value and quadratic inequalities; systems of equations, matrices, determinants. (Credit may not be received for MATH 126 if credit has already been awarded for MATH 128  or above. This course satisfies the University Core Mathematics requirement).

    Prerequisite(s): ACT of 22 OR SAT of 530 OR ALEKS PPL of 46 OR MATH 96  / MATH 26B  / MATH 26C  with a “C” or above or an “S” OR MATH 124  with a “C” OR High School Algebra I with an “A”. Recommended Prep: Take a math placement test before registering for MATH 126 if 10 years have passed since completion of the prerequisite coursework.

    Grading Basis: Graded
    Units of Lecture: 2
    Units of Discussion/Recitation: 1
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. graph rational functions.
    2. solve equations involving exponential or logarithmic functions.
    3. solve inequalities involving rational functions.


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  • MATH 126E - Precalculus I Expanded

    (3 units) CO2
    Covers the same material as MATH 126  and requires concurrent enrollment in a specific section of MATH 26B . Students who enroll in MATH 126E will be added to the correct section of MATH 26B  by Admissions & Records staff within 2 working days. May satisfy the Core Mathematics requirement for some majors.

    Prerequisite(s): ACT 19-21 OR SAT 510-529 OR ALEKS PPL 30-45 OR MATH 95  with a “C” or above or an “S” OR High School Algebra I with a “B” or above. Recommended Preparation: Take a math placement test if 10 years have passed since completion of the prerequisite.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. graph rational functions.
    2. solve equations involving exponential or logarithmic functions.
    3. solve inequalities involving rational functions.


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  • MATH 126EE - Precalculus I Expanded 3+3

    (3 units) CO2
    Covers the same material as MATH 126 and requires concurrent enrollment in a specific section of MATH 26C. Students who enroll in MATH 126EE will be added to the correct section of MATH 26C by Admissions & Records staff within 2 working days. May satisfy the Core Mathematics requirement for some majors.

    Prerequisite(s): ALEK PPL score less than 30. Corequisite(s): MATH 26C . Recommended Preparation: Take a math placement test if 10 years have passed since completion of the prerequisite.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. graph rational functions.
    2. solve equations involving exponential or logarithmic functions.
    3. solve inequalities involving rational functions.


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  • MATH 127 - Precalculus II

    (3 units) CO2
    Trigonometric functions, identities and equations; conic sections; complex numbers; polar coordinates, vectors; systems of equations, Matrix algebra and more. (Credit may not be received for MATH 127 if credit has already been awarded for MATH 128 . This course satisfies the University Core Mathematics requirement).

    Prerequisite(s): ACT of 27 OR SAT of 630 OR ALEK PPL of 61 OR MATH 126  with a “C” or better OR High School Algebra II with an “A”. Recommended Preparation: Take a math placement test if 10 years have passed since completion of the prerequisite.

    Grading Basis: Graded
    Units of Lecture: 2
    Units of Discussion/Recitation: 1
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. solve trigonometric equations.
    2. convert between Cartesian and polar coordinates.
    3. analyze equations of central conics such as ellipses and hyperbolas.


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  • MATH 128 - Precalculus and Trigonometry

    (5 units) CO2
    Equations, relations, functions, graphing; polynomial, rational, exponential, logarithmic, and circular functions with applications; coordinate geometry of lines and conics; analytic trigonometry; matrices, determinants; binomial theorem. (Credit may not be received for MATH 128 if credit has already been awarded for MATH 181  or above. This course satisfies the University Core Mathematics requirement.)

    Prerequisite(s): ACT of 27 or SAT of 630 or Accuplacer QAS of 276 and AAF of 270 or ALEKS PPL of 50. Recommended Prep: Take a math placement test if 10 or more years have passed since completion of the prerequisite.

    Grading Basis: Graded
    Units of Lecture: 5
    Offered: Every Fall

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. analyze algebraic functions such as rational, exponentials, and logarithmic functions.
    2. solve trigonometric equations.
    3. convert between Cartesian and polar coordinates.


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  • MATH 176 - Introductory Calculus for Business and Social Sciences

    (3 units) CO2
    Fundamental ideas of analytic geometry and calculus, plane coordinates, graphs, functions, limits, derivatives, integrals, the fundamental theorem of calculus, rates, extrema and applications thereof. (This course satisfies the University Core Mathematics requirement. Credit may not be received for Math 176 if credit has already been awarded for MATH 181  or above.)

    Prerequisite(s): ACT of 27 or SAT of 630 or ALEKS PPL of 61 or MATH 124  with at least a “C” or MATH 126  with at least a “C”. Rec. Prep: Take a math placement test before registering if 10 years have passed since completion of the prerequisite coursework.

    Grading Basis: Graded
    Units of Lecture: 2
    Units of Discussion/Recitation: 1
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. use and apply the concepts and terminology of rate of change through applications and examples.
    2. compute the derivative of a function using rules of differentiation.
    3. compute basic integrals using the Fundamental Theorem of Calculus.


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  • MATH 181 - Calculus I

    (4 units) CO2
    Fundamental concepts of analytic geometry and calculus; functions, graphs, limits, derivatives and integrals. (This course satisfies the University Core Mathematics requirement.)

    Prerequisite(s): MATH 127  or MATH 128  with a “C” or better or ACT of 28 or SAT of 650 or ALEKS PPL of 76. Recommended Preparation: Take a math placement test before registering if 10 years have passed since completion of the prerequisite.

    Grading Basis: Graded
    Units of Lecture: 3
    Units of Discussion/Recitation: 1
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an understanding of the concepts and terminology of limits through applications and examples.
    2. compute the derivative of a function using the definition, rules of differentiation, slopes of tangent lines, and describe it as a rate of change, in a number of natural and physical phenomena.
    3. compute basic integrals using Riemann sums as well as the Fundamental Theorem of Calculus.


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  • MATH 182 - Calculus II

    (4 units)
    Methods of integration. Sequences and series, power series.

    Prerequisite(s): MATH 181  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Units of Discussion/Recitation: 1
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. evaluate definite and indefinite integrals using various techniques of integration: e.g. substitution, integration by parts and partial fractions.
    2. apply integration to compute arc-lengths, areas, and volumes of revolution.
    3. test infinite series for convergence; represent functions using power series.


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  • MATH 283 - Calculus III

    (4 units)
    Continuation of MATH 182 ; vectors, partial and directional derivatives, optimization problems, multiple integrals, parametric curves, vector fields, line integrals, surface integrals, and the theorems of Gauss, Green and Stokes.

    Prerequisite(s): MATH 182  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 4
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. calculate dot products, crossed products; find partial derivatives of functions of several variables.
    2. solve optimization problems.
    3. setup and evaluate double and triple integrals.
    4. work with vector fields; e.g. compute the curl and divergence.
    5. use integral theorems of multivariable calculus: e.g. Green’s theorem.


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  • MATH 285 - Differential Equations

    (3 units)
    Theory and solving techniques for: constant and variable coefficient linear equations, a variety of non-linear equations. Emphasis on those differential equations arising from real-world phenomena.

    Prerequisite(s): MATH 182  with a “C” or better. Recommended Preparation: MATH 283  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. use qualitative methods to assess the behavior of solutions without solving an equation.
    2. demonstrate understanding of some of the different techniques for solving first and higher order homogeneous and nonhomogeneous equations: e.g. the integrating factor method, separable variables, the Laplace transform.
    3. solve systems of differential equations with constant coefficients.


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  • MATH 295 - Proof Writing for Math/Stat Majors

    (3 units)
    Foundations of mathematical proof writing for advanced courses in the Math/Stat majors. Proof methods will be applied to topics in logic; mathematical induction; elementary set theory; functions; properties of integers and real numbers.

    Prerequisite(s): MATH 283  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. write cogent proofs using different methods like direct proof, indirect proof, proof by contradiction, proof by induction.
    2. demonstrate an understanding of basic concepts about operations with sets and functions, including one-to-one and onto functions, direct image and inverse image.
    3. work with equivalence classes and identify the quotient set determined by an equivalence relation.


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  • MATH 301 - Introduction to Proofs: Logic, Sets and Functions

    (3 units)
    Logic; mathematical induction; elementary set theory; functions; properties of integers and real numbers. Heavy stress on mathematical proofs. Credit may not be received for MATH 301 if credit has already been awarded for MATH 310 .

    Prerequisite(s): MATH 283  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. write cogent proofs using different methods like direct proof, indirect proof, proof by contradiction, proof by induction.
    2. demonstrate an understanding of basic concepts about operations with sets and functions, including one-to-one and onto functions, direct image and inverse image.
    3. work with equivalence classes and identify the quotient set determined by an equivalence relation.


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  • MATH 302 - Introduction to Mathematical Reasoning

    (3 units)

    Introduction to logic and methods of proof with applications to elementary set theory, algebra, and combinatorics. Emphasis on mathematical proofs.

    May not be used to satisfy major requirements for either Mathematics or Nevada Teach Secondary Education and Mathematics programs.

    Prerequisite(s): MATH 283  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. write cogent proofs using different methods like direct proof, indirect proof, proof by contradiction, proof by induction.
    2. apply combinatorial techniques to prove results about graphs and counting problems.
    3. apply algebraic reasoning to various algebraic structures.


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  • MATH 305 - Functions and Modeling

    (3 units)
    Bridges the math from high school to college calculus through sophisticated interconnections. Prepares teachers to preview college mathematics and its applications in their 7-12 grade classes.

    Prerequisite(s): MATH 182  ; major Nevada Teach Mathematics.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate a depth of content knowledge with regard to important secondary mathematics topics such as parametric relations, polar relations, matrices, exponential and logarithmic functions, vectors, and complex numbers.
    2. generate or work with relevant lab or exploration data and use regression, matrix, function pattern, and systems methods to produce a model of the data.
    3. present mathematical ideas and topics in a knowledgeable and effective manner.
    4. demonstrate proficiency in the use of technology in the mathematics classroom.
    5. identify mathematics content connections between the various levels of secondary mathematics curriculum and between secondary- and university-level curriculum.


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  • MATH 310 - Introduction to Analysis I

    (3 units)
    An examination of the theory of calculus of functions of one variable with emphasis on rigorously proving theorems about real numbers, convergence, continuity, differentiation and integration.

    Prerequisite(s): MATH 295  or MATH 301  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. explain and work with the concept of a limit of a sequence and/or a function.
    2. give a precise definition of the continuity and differentiability of a function, and derive various consequences of said properties (such as the Mean Value Theorem or l’Hôpital’s Rule).
    3. use the notion of a limit to test functions for integrability. Integrate functions and derive properties of the Riemann integral.


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  • MATH 311 - Intro To Analysis II

    (3 units)
    Continuation of MATH 310 . Emphasizes proving theorems about series, uniform convergence, functions of several variables: limits, continuity, differentiation, extrema, integration, implicit and inverse function theorems.

    Prerequisite(s): MATH 310  with a “C” or better. Corequisite(s): MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. write cogent proofs using different methods like direct proof, indirect proof, proof by contradiction, proof by induction.
    2. demonstrate an understanding of the algebraic structure and the topology of Euclidean space.
    3. apply theorems about differentiability and integrability of vector functions of several variables.
    4. test infinite series for convergence.


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  • MATH 314 - History of Mathematics

    (3 units)
    This course examines the development of mathematics across history, from the beginning of numeral systems to the emergence of geometry, algebra, calculus and culminating in the rigorous mathematics of the 19th century.

    Maximum units a student may earn: 3

    Prerequisite(s): MATH 182  with a “C” or better; MATH 330  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. use the university library to research a topic and write up a report or make a poster.
    2. contrast the Greek’s attitude to mathematics with that of earlier civilizations.
    3. relate the events leading to algebraic solutions of cubic equations in sixteenth Italy.
    4. discuss the work of Robert Recorde, Thomas Harriot and John Napier in the circumstances of the time.


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  • MATH 320 - Mathematics of Interest

    (3 units)
    Mathematical theory of interest with applications, including accumulated and present value factors, annuities, yield rates, amortization schedules and sinking funds, depreciation, bonds and related securities.

    Prerequisite(s): MATH 176  or MATH 181  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. formulate and recognize definitions of interest rate, yield rate, simple and compound interest, the accumulation function, present and future values, force of interest, and equation of value.
    2. write and solve the equation of value given a set of cash flows and interest rate.
    3. demonstrate understanding of basic terminology concerning annuities, loans and cash flows.


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  • MATH 330 - Linear Algebra

    (3 units)
    Vector analysis continued; abstract vector spaces; bases, inner products; projections; orthogonal complements, least squares; linear maps, structure theorems; elementary spectral theory; applications.

    Corequisite(s): MATH 283 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall, Spring, and Summer

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. compute eigenvalues and eigenvectors; determine whether a matrix is diagonalizable and if possible diagonalize it.
    2. compute the dimension of a vector space, the rank of a matrix or the span of a collection of vectors.
    3. find or identify a basis for a vector space, use the Gram-Schmidt process to find an orthonormal basis, or carry out a change of basis.


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  • MATH 331 - Groups, Rings and Fields

    (3 units)
    Elementary structure of groups, rings and fields, including homomorphisms, automorphisms, normal subgroups, and ideals.

    Prerequisite(s): MATH 295  or MATH 301  with a “C” or better; MATH 330  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an understanding of the concepts of group, ring and field and their homomorphisms.
    2. identify irreducible elements in a ring of polynomials.
    3. demonstrate an understanding of cosets in a group, normal subgroups and quotient groups.


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  • MATH 373 - Theory of Positive Integers

    (3 units)
    Mathematical logic, quantifiers, induction, axiomatic development of the theory of positive integers; fundamental theorem of arithmetic. Emphasis is on problem solving and theorem proving.

    Prerequisite(s): MATH 283  with a “C” or better.  Recommended Preparation: MATH 295  or MATH 302 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate knowledge of the Euclidean division algorithm, divisibility and prime numbers.
    2. solve Diophantine equations and congruences, and use the theory of congruences in applications.
    3. encipher and decipher messages in different encryption systems.?


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  • MATH 381 - Methods of Discrete Mathematics

    (3 units)
    Quantifiers and logical operators; sets, functions, binary relations, digraphs, and trees; inductive definitions, counting techniques, recurrence systems analysis of algorithms, searching and sorting algorithms.

    Prerequisite(s): MATH 182  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. manipulate the concepts from set theory of unions, intersections and complements.
    2. use mathematical induction to construct proofs.
    3. demonstrate an understanding of the techniques of counting applied to permutations, combinations.
    4. use graph theory to work with lattices and Boolean algebras.


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  • MATH 401 - Set Theory

    (3 units)
    Formalism, inference, axiomatic set theory, unicity, pairs, relations, functions ordinals, recursive definition, maximality, well ordering, choice, regularity, equinumerosity, cardinal arithmetic.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. discuss ZF and ZFC.
    2. demonstrate understanding of the terminology of set theory.
    3. explain concepts and prove facts about ordinals and cardinals.


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  • MATH 410 - Complex Analysis

    (3 units)
    Complex numbers, analytic and harmonic functions. Cauchy-Riemann equations, complex integration, the Cauchy integral formula, elementary conformal mappings. Laurent series, calculus of residues.

    Prerequisite(s): MATH 310  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. work with holomorphic and harmonic functions.
    2. demonstrate an understanding of the complex logarithm and complex roots.
    3. integrate complex valued functions using residues.


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  • MATH 411 - Real Analysis

    (3 units)
    Continuity, monotonicity, differentiability; uniform convergence and continuity and differentiability; Stone-Weierstrass Theorem; multivariable functions, linear transformations, differentiation, inverse and implicit functions, Jacobians and change of variable; Lebesgue measure and integration.

    Prerequisite(s): MATH 311  and MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. distinguish between different modes of convergence.
    2. demonstrate understanding of the Stone Weierstrass theorem.
    3. apply the inverse and implicit function theorems.
    4. demonstrate understanding of the basic theorems of Lebesgue integration.


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  • MATH 412 - Functional Analysis

    (3 units)
    Normed vector spaces, Banach and Hilbert spaces, linear functionals and operators, the Hahn-Banach, closed graph and uniform boundedness theorems with applications, dual spaces, self adjoint operators, compact operators.

    Prerequisite(s): MATH 311  and MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an understanding of operators and functionals on Banach spaces and Hilbert spaces.
    2. work with the central concepts and theorems of functional analysis: e.g. the Hahn-Banach theorem, uniform boundedness and open mapping theorems.
    3. apply the spectral theory of bounded self-adjoint operators.


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  • MATH 419 - Topics in Analysis

    (1 to 3 units)
    Variable content chosen from such topics as differential forms, analytic functions, distribution theory, measure and integration, constructive analysis.

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an advanced level of competency in the area of Analysis.


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  • MATH 420 - Mathematical Modeling

    (3 units) CO13, CO14
    Formulation, analysis and critique of methods of mathematical modeling; selected applications in physics, biology, economics, political science and other fields.

    Prerequisite(s): General Education courses (CO1-CO3) completed; at least 3 courses from CO4-CO8 completed; Junior or Senior standing; MATH 283  and MATH 285  both with a “C” or better; STAT 352  or STAT 461  either with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall and Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. choose and apply key mathematical and statistical techniques for solving problems in a diverse collection of scientific disciplines.
    2. organize and clean data; critically assess the origin of the data and method of data analysis.
    3. interpret the results of the modeling process to reach sound scientific conclusions within the problem’s economic, scientific, and social context.
    4. propose a project (individually or in a group) and devise strategies and practices to do the research work that will lead, with the support of computational software (e.g. Maple, Mathematica, R, Matlab), to the writing of a technical report using professional typesetting software (e.g., LaTeX).


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  • MATH 421 - Introduction To Applied Dynamical Systems

    (3 units)
    Continuous and discrete dynamical systems; fixed points; limit cycles; stability analysis; bifurcation analysis; numerical solutions; model derivation

    Prerequisite(s): MATH 285 ; MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. conduct an equilibrium stability analysis for ODE models and discrete maps.
    2. recognize common equilibrium bifurcations.
    3. apply computational techniques to the of study dynamical systems models.


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  • MATH 422 - Optimal Analysis

    (3 units)
    Analysis of extrema of real-valued functions and functionals with applications. Introduction to calculus of variations and optimal control.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. derive extremal equations and solve some practically important variational problems in single and multiple independent variables including ones with unknown boundary data and integration limits.
    2. solve Isoperimetric and other constrained variational problems using Lagrange multipliers, and apply direct methods to solve variational problems.
    3. apply Hamiltonian principle to derivation of canonical equations and Hamilton-Jacobi equation, and use maximum principle for solution of some optimal control problems.


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  • MATH 429 - Topics in Applied Analysis

    (1 to 3 units)
    Variable content chosen from such topics as: integral transforms, approximation of functions, nonlinear mathematics, stability theory, matrix exponentials.

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an advanced level of competency in the area of Applied Analysis.


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  • MATH 430 - Linear Algebra II

    (3 units)
    Vector spaces; duality, direct sums; linear maps: eigenvalues, eigenvectors, rational and Jordan forms; bilinear maps, quadratic forms; inner product spaces: symmetric, skewsymmetric, orthogonal maps, spectral theorem.

    Prerequisite(s): MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate understanding of the vocabulary of Linear Algebra at an advanced level.
    2. demonstrate competence at an advanced level by rigorously proving results from Linear Algebra I.
    3. work with self-adjoint, normal and positive operators on inner product spaces.
    4. work with special decompositions and forms of matrices: e.g. the singular value decomposition, Jordan form.


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  • MATH 439 - Topics in Algebra

    (1 to 3 units)
    Variable content chosen from such topics as Galois theory, number theory topological groups, combinatorial analysis, theory of graphs.

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an advanced level of competency in the area of Algebra.


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  • MATH 440 - Topology

    (3 units)
    General topological spaces, continuity, compact and locally compact spaces, connectedness, path connectedness, product and quotient topologies, countability and separation axioms, metric spaces.

    Prerequisite(s): MATH 310 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an understanding of topological spaces and continuous functions through proofs and examples.?
    2. analyze topological properties such as compactness, connectedness and path-connectedness, and prove their consequences including the Extreme Value and Intermediate Value Theorem from Calculus.?
    3. analyze continuity or discontinuity of functions defined on a quotient space.


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  • MATH 441 - Intro Algebraic Topology

    (3 units)
    Topological spaces, functors, homotopy, the fundamental group, covering spaces, higher homotopy groups, simplicial complexes, homology theories.

    Prerequisite(s): MATH 440 . Corequisite(s): MATH 331 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate understanding of covering spaces for a topological space through proofs and examples.
    2. use functorial properties of homotopy groups to convert topological problems to algebraic ones, in order to solve them.
    3. compute or describe the fundamental group of a topological space by applying the Seifert-van Kampen theorem.


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  • MATH 442 - Differential Geometry

    (3 units)
    Geometry of curves and surfaces in space; Frenet’s formulas; Cartan’s frame fields, Gaussian curvature; intrinsic geometry of surface; congruence of surfaces; the Gauss-Bonnet theorem.

    Prerequisite(s): MATH 295  with a “C” or better; MATH 285  with a “C” or better; MATH 330  with a “C” or better. Recommended corequisite: MATH 310 . 

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. analyze the intrinsic geometry of curves in space, such as arclength and curvature.
    2. analyze the intrinsic geometry of surfaces in space, such as surface area, Gaussian curvature.
    3. determine whether two surfaces cannot be related by an isometric bijection, due to different intrinsic geometry.
    4. use the Gauss-Bonnet theorem to relate the geometry of an oriented surface without boundary to its topology.


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  • MATH 449 - Topics in Geometry and Topology

    (1 to 3 units)
    Variable content chosen from such topics as differential topology, algebraic topology, convexity, topological vector spaces. Mathematical structures of special relativity.

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an advanced level of competency in geometry and topology.


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  • MATH 455 - Elementary Theory of Numbers I

    (3 units)
    Congruences, primitive roots, arithmetic functions, quadratic reciprocity, distribution of prime numbers, diophantine equations, rational approximations, algebraic numbers.

    Prerequisite(s): MATH 331  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Odd Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate knowledge of divisibility, congruences and primitive roots.
    2. solve Diophantine equations using the theory of congruences, diophantine approximation and algebraic numbers.
    3. analyze the distribution of primes and mean values of arithmetic functions.


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  • MATH 466 - Numerical Methods I

    (3 units)
    Numerical solution of linear systems, including linear programming; iterative solutions of non-linear equations; computation of eigenvalues and eigenvectors, matrix diagonalization. (CS 466 and MATH 466 are cross-listed; credit may be earned in one of the two.)

    Prerequisite(s): MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. implement a numerical method to solve a nonlinear equation: e.g. bisection method, Newton’s method.
    2. solve linear systems using direct and iterative methods.
    3. construct interpolating functions.


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  • MATH 467 - Numerical Methods II

    (3 units)
    Numerical differentiation and integration; numerical solution of ordinary differential equations, two point boundary value problems; difference methods for partial differential equations. (CS 467 and MATH 467 are cross-listed; credit may be earned in one of the two.)

    Prerequisite(s): MATH 285 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. use Taylor and Runge-Kutta methods to solve IVP’s for ODE’s.
    2. use the shooting and finite difference methods to solve BVP’s for ODE’s.
    3. use Numerical techniques to solve elliptic, parabolic and hyperbolic PDE’s.


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  • MATH 475 - Euclidean and Non-Euclidean Geometry

    (3 units)
    Axiom systems, models, independence, consistency; incidence, distance, betweenness, congruence, convexity; inequalities, quadrilaterals, limit triangles, the non-Euclidean geometry of Bolyai-Lobatchevsky.

    Prerequisite(s): MATH 373 .

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. prove properties of lines, angles, and circles from the Euclidean axioms.
    2. prove properties of lines, angles and circles in non-Euclidean geometry.?
    3. distinguish between geometric properties that depend on the Euclidean parallel postulate and those that are independent of any parallel postulate assumptions.
    4. describe the logical consistency of geometries using models.


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  • MATH 485 - Graph Theory & Combinator

    (3 units)
    Counting rules; generating functions; recurrence relations; inclusion-exclusion; pigeonhole principle; Ramsey theory; fundamental graph theory concepts (connectedness, coloring, planarity); Eulerian/Hamiltonian chains and circuits; matching.

    Recommended Preparation: MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. solve simple and complex counting problems, by using the addition and product rules, recognizing permutation/combinations with and without replacement, rephrasing as occupancy problems, and/or using the inclusion-exclusion principle/derangements.
    2. demonstrate an understanding of the concept of computational complexity for algorithms, including the use of “Big O” notation.
    3. demonstrate an understanding of the main concepts of graph theory, including graphs versus digraphs, connectedness, graph coloring, planarity, as well as the properties of bipartite graphs, complete graphs, and trees.
    4. demonstrate knowledge of some of the great historical problems and results in graph theory/combinatorics, including the four-color problem, the Konigsberg bridge problem, Euler’s formula, the travelling salesman problem, the hatcheck problem, Kuratowski’s theorem, Ramsey’s theorem, and the solution to the Fibonacci recursion.
    5. make simple “discrete” arguments/proofs, such as using mathematical induction or making “combinatorial arguments”.


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  • MATH 486 - Game Theory

    (3 units)
    Extensive form games; Nash, perfect equilibrium; matrix/bimatrix games; minmax theorem; TU/NTU solutions; marriage, college admissions, and housewrapping games; core; Shapley value; power indices.

    Recommended Preparation: MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. model real world problems from the social and biological sciences as cooperative or noncooperative games, and to choose appropriate solution concepts to analyze them.
    2. solve strategic form matrix and bimatrix games for both minimax solution and Nash equilibria, use backward induction for finding perfect Nash equilibria in perfect-information extensive form games, find the TU solution for bimatrix games, run the Deferred Acceptance Procedure and Top Trading Cycle algorithms for ordinal preference games, and solve for the core and Shapley Value for n-player TU games.
    3. demonstrate an understanding of the underlying theory behind the models, including the minimax theorem, Shapley-Bondareva theorem, Nash’s theorem, the Folk Theorem for repeated games, and the relationship between some of these and linear programming.
    4. demonstrate an understanding of some of the subtleties of game theoretic modelling, such as the role and modelling of information, the advantages and disadvantages of modelling using strategic vs extensive form, the difference between cooperative and noncooperative games, and the implications of the “TU-assumption” for cooperative games.


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  • MATH 487 - Deterministic Operations Research

    (3 units) CO13
    Linear programming and duality theory, integer programming, dynamic programming, PERT scheduling, EOQ inventory model, and nonlinear programming. Emphasis on both theory and applications.

    Prerequisite(s): General Education courses (CO1-CO3) completed; at least 3 courses from CO4-CO8 completed; Junior or Senior standing. Recommended Preparation: MATH 330 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. use methods of deterministic operations research to model real-world situations, and interpret the results to reach sound conclusions.
    2. communicate, in written form, the results of a model in the context of current thought on the situation being modeled.
    3. distinguish between sound and unsound interpretations of model results applied to issues affecting society.
    4. analyze a problem’s societal context and the impact of context on sound interpretation of mathematical models applied to real-world situations.


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  • MATH 488 - Partial Differential Equations

    (3 units)
    Partial differential equations; first order equations, initial and mixed boundary-value problems for the second order Laplace, heat and wave equations; finite difference approximation.

    Prerequisite(s): MATH 285  with a “C” or better; MATH 330  with a “C” or better.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. apply separation of variables to solve a partial differential equation.
    2. solve second order constant coefficient partial differential equations by applying transforms.
    3. apply the method of characteristics to solve first order partial differential equations.


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  • MATH 490 - Internship

    (1 to 6 units)
    Individual study for the purposes of obtaining credit for high math content work related experience.

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. communicate effectively and professionally and work in teams with colleagues and supervisors in a workplace.
    2. translate business questions and issues into mathematical/statistical problems,?and communicate the technical solutions to the business audience.
    3. practice professional behavior and communications’ standards including verbal and written communication, timeliness, and ethics.


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  • MATH 495 - Introduction to Algebraic Combinatorics

    (3 units)
    Walks in Graphs, Posets and Sperner Property, Partitions of integers, Enumeration under Group Action, Young Tableaux, Enumeration problems in Graph Theory: Spanning Trees, Eulerian circuits, Matchings and Path-systems, Vector Spaces in Graphs, Dimension and Polynomial methods in Combinatorics, Algebraic Combinatorics Gems.

    Maximum units a student may earn: 3

    Prerequisite(s): MATH 330 . Recommended Preparation: MATH 331 ; MATH 485 .

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate understanding of combinatorial properties (like Sperner property, unimodality) and its implications in various posets.
    2. apply Group-theoretic results like, Burnside’s Lemma and Polya-Redfield counting for enumeration problems involving symmetries.
    3. demonstrate use of determinants in some enumeration problems in Graph Theory and its applications.
    4. apply other linear-algebraic arguments like rank, dimension, orthogonality, polynomials, etc in various combinatorial problems.


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  • MATH 499 - Independent Study

    (1 to 3 units)
    Individual study conducted under the direction of a faculty member. 

    Maximum units a student may earn: 6

    Grading Basis: Graded
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an advanced level of competency in the subject of study of this course.


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  • MATH 601 - Set Theory

    (3 units)
    Formalism, inference, axiomatic set theory, unicity, pairs, relations, functions ordinals, recursive definition, maximality, well ordering, choice, regularity, equinumerosity, cardinal arithmetic.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. discuss ZF and ZFC.
    2. demonstrate understanding of the terminology of set theory.
    3. explain concepts and prove facts about ordinals and cardinals.


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  • MATH 610 - Complex Analysis

    (3 units)
    Complex numbers, analytic and harmonic functions. Cauchy-Riemann equations, complex integration, the Cauchy integral formula, elementary conformal mappings. Laurent series, calculus of residues.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Fall - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. work with holomorphic and harmonic functions.
    2. demonstrate an understanding of the complex logarithm and complex roots.
    3. integrate complex valued functions using residues.


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  • MATH 611 - Real Analysis

    (3 units)
    Continuity, monotonicity, differentiability; uniform convergence and continuity and differentiability; Stone-Weierstrass Theorem; multivariable functions, linear transformations, differentiation, inverse and implicit functions, Jacobians and change of variable; Lebesgue measure and integration.

    Grading Basis: Graded
    Units of Lecture: 3
    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. distinguish between different modes of convergence.
    2. demonstrate understanding of the Stone Weierstrass theorem.
    3. apply the inverse and implicit function theorems.
    4. demonstrate understanding of the basic theorems of Lebesgue integration.


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  • MATH 612 - Functional Analysis

    (3 units)
    Normed vector spaces, Banach and Hilbert spaces, linear functionals and operators, the Hahn-Banach, closed graph and uniform boundedness theorems with applications, dual spaces, self adjoint operators, compact operators.

    Grading Basis: Graded
    Units of Lecture: 3
    Offered: Every Spring - Even Years

    Student Learning Outcomes
    Upon completion of this course, students will be able to:
    1. demonstrate an understanding of operators and functionals on Banach spaces and Hilbert spaces.
    2. work with the central concepts and theorems of functional analysis: e.g. the Hahn-Banach theorem, uniform boundedness and open mapping theorems.
    3. apply the spectral theory of bounded self-adjoint operators.


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