Autumn 2016: MATH 204 Sections 33/41

Analysis in R^n II (Accelerated)

Class (Section 33): MWF, 10:30am-11:20am in Eckhart 308
Class (Section 41): MWF, 11:30am-12:20pm in Eckhart 202
Instructor Office Hours: M 2:30-3:30pm, Tu 5-6pm

Course Syllabus

Text: Principles of Mathematical Analysis, Walter Rudin.

Homework: Homeworks will be posted here on Wednesdays and due the next Wednesday in class.

Homework 1
Homework 2
Homework 3
Homework 4 (solution)
Homework 5 (note due date)
Homework 6
Homework 7

Lecture Notes:

Differentiation on R
Taylor's Theorem
Review of Linear Algebra
Differentiation on R^n
Inverse Function Theorem
Implicit Function Theorem
Determinants
Higher Order Differentiation on R^n
Riemann-Stieltjes Integration
Riemann-Stielthes Integration Contd
Sequences of Functions
Arzela-Ascoli
Stone's Theorem
Initial value problems for ODE

Exams: There will be two in-class hour exams and a final exam. The hour exams will be on Wed, Jan 25 (Week 4) and Wed, Feb 15 (Week 7) Monday, Feb 20 (Week 8). See here for the final exam schedule.

Grading: homework 10%, hour exams 40%, final exam 50%.