Math 312 - Introduction to Real Analysis II

Course Description (Catalog Copy)

01:640:312 Introduction to Real Analysis II (4)
Continuation of Math 311.
Prerequisites: Math 311.

Textbook

Textbook chosen by instructor

Syllabus

Syllabus varies with instructor. For Spring 2008, 2009:

Riemann Integration on compact intervals of R
Measure Theory in R
Lebesgue Integration on R
Infinite series of numbers
Power series and Taylor series
Convergence of sequences and series of functions
Fourier Series

Fall 2019 Schedule

Taught Spring Semester

Course goals

Greatly strengthening student's understanding of

the results of calculus and the basis for their validity
the uses of deductive reasoning

Increasing the student's ability to

understand definitions

understand proofs

analyze conjectures

find counter-examples to false statements,

construct proofs of true statements

Provides a solid foundation for honors courses, especially Math 411

Enhancing the student's mathematical communication skills

Previous Semesters

Spring 2009. Prof. Beals

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