MATH361, Fall 2006

Advanced Calculus

The course Math361 Advanced Calculus is a continuation of Math360.

Prerequisite: Math360, Math240

Topics to cover:

Functions of several variables: differentiability, Taylor decomposition, general facts.
Introduction to smooth manifolds
Local behavior, extremal points, conditional extremum.
Integration of functions
Fourier series.

Textbook: Elementary Classical Analysis by Marsden and Hoffman, chapters 6-10.

Homeworks: To appear here every second week, normally priced 25 points for a full solution.

Midterm and Endterm exams: In class work, priced doubly comparing with a homework.

Final score: Depends on the sum of points earned by homeworks, mid- and endterm exams.

First class: Thursday, 09.07.06, at 10:30 am in 4C4, DRL. Back to Alexandre Kirillov's home page