Course Description (Catalog Copy)
01:640:312 Introduction to Real Analysis II (3)
Series of numbers and functions, integration of functions of one variable, pointwise and uniform convergence, differential calculus in several variables, implicit and inverse function theorems.
Prerequisites: Math 311.
Textbook
Textbook: For current textbook please refer to our Master Textbook List page
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
- Enhancing the student's mathematical communication skills
- Provides a solid foundation for honors courses, especially Math 411
Taught Spring Semester