| MAT401: Analysis III | 6 credits (40-20-0) |
Objectives
To deal with the Riemann and Stieltjes integrals and apply them to Fourier series and multivariable differential calculus.
Contents
Rigid definition of Riemann integral of bounded functions; Approximation of integral by sums; Riemann-Stieltjes integral: Properties; Functions of bounded variation; Integration of functions of bounded variation; Rectifiable curve; Fourier series; Multivariable differential and integral calculus; Implicit and inverse function theorems.
Prerequisite:
MAT301