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Oct 31, 2024
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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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