Introdcution to Analysis ANT

Instructor: Dr. Szilárd SZABÓ

Text: handouts, and R. G. Bartle, The elements of real analysis

Prerequisite: Calculus

Course description: After quickly reviewing basic notions and concepts in analysis, we turn to the study of sequences of functions
and prove rudiments of Fourier series. Topological concepts are also discussed in detail.
 

Topics:

1. Basic calculus

2. Infinite series 3. Differentiation, multivariable calculus 4. Integration 5. Fourier series