MATH 20100 Mathematical Methods for Physical Sciences II - Winter 2005
Instructor:
Caroline J. Klivans
office: Eckhart 308A
e-mail: cjk (at) math.uchicago.edu
office hours: Tu 3-4, W 4-5
Lecture:
MWF 8:30-9:20 Eckhart 203
Course Description:
MATH 20100 deals with vector differential calculus, line integrals, theorems of Green, Gauss, and Stokes, complex numbers, introduction to ordinary differential equations, Fourier series, and partial differential equations.
Required text:
Mathematical Methods for Scientists and Engineers, by MacQuarrie.
All homeworks are due at the beginning of class unless otherwise noted.
Homework 1 (Due Friday 14th) Section 9.3: 5,13(a),18 Section 9.5: 8,10 Section 10.1: 2,3,6. Additional problem: For each matrix in problem 18 of section 9.3, find the rank of the matrix and the rank of the transpose. Homework 2 (Due Friday 21st) Section 9.5: 11 Section 9.6: 10,11 Section 10.1: 4 Section 10.2: 2,4,9 Section 10.4: 14,15 Section 10.5: 5. Additional: Read section 10.3, don't worry about material we have not covered yet. Homework 3 (Due Friday 28th) Section 7.1: 5,11 Section 7.2: 1,3
Homework 4 (Due Friday 4th) Section 7.2: 8,16 Section 7.3:
2,4,8,12 Section 7.4: 1,6 Homework 5 (Due Wednesday 16th) Section 7.5: 1,2,4 Section
11.1: 1(a)(b), 6(a)(b) Section 11.2: 2 Homework 6 (Due Wednesday 2nd) Section 11.2: 10 Section
11.3: 3,9 Section
11.4: 8,9 Section 11.5: 1,14 Section 12.1: 5,7,9
Homework 7 (Due Wednesday 9th) Section 12.3: 2,3,9 Section 12.4: 9,10 Section 16.1: 8 Section 16.2: 1 Solutions to midterm 1 Solutions to midterm 2