MATH 317 - Honors Advanced Calculus, II
Instructor
Office hours
Syllabus
The implicit function theorem and application
- local properties of C^{1}-functions
- the implicit function theorem
- local extrema with constraints
Change of variables and the integral theorems by Green, Gauß, and Stokes
- the change of variables formula
- integration on curves and surfaces
- the classical integral theorems by Green, Gauß, and Stokes
- Stoke's theorem for differential forms
Infinite series and improper integrals
- infinite series
- improper integrals
Sequences and series of functions
- pointwise convergence
- uniform convergence
- power series
- Fourier series
Textbooks
Grading
The grade will be based on weekly homework assignments (30%), an in-class-midterm on February 26 (20%), and a final (50%).
Last update: 01/19/18.