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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