Week

Date

Topics covered

1

Jan 13-17

chapter 1: power series and convergence, power series expansion, Taylor series; chapter 2: complex numbers

no HW due this week 

2

Jan 20-24

chapter 2: complex algebra, Euler formula, functions of complex numbers; chapter 3 - linear algebra:  vectors, lines and planes

HW#1 due friday

Last day to drop - on friday

3

Jan 27-31

chapter 3 - linear algebra:  matrix operations, linear operators,  rotation and transformation,  linear vector space, Gram-Schmidt orthogonalization,  diagonalization, eigenvalues and eigenvectors, Hermitian matrices

HW#2 due friday

4

Feb 3-7

ctd. chapter 3; chapter 4 - partial differentiation: total differentials, maximum and minimum problems, change of variables, Leibnitz rule

HW#3 due friday

5

Feb 10-14

chapter 5: multiple integrals and applications, change of variables, surface integrals

HW#4 due friday 

6

Feb 17-21

chapter 6 - vector analysis: vector multiplication, triple product, vector differentiation, gradient, divergence, curl, line integrals

No HW this week 

EXAM 1: Friday, Feb 21

7

Feb 24-28

ctd. chapter 6: Green's theorem, divergence theorem

HW#5 due friday

8

Mar 3-7

ctd chapter 6: curl and Stokes theorem

HW#6 due friday

9

Mar 10-14

FINALLY!!!!! SPRING BREAK

10

Mar 17-21

chapter 8 - Ordinary Differential Equations: first order ODEs, linear second order ODEs (homogeneous and inhomogeneous) 

HW#7 due friday

11

Mar 24-28

ctd. chapter 8: harmonic oscillator, Laplace transform, Dirac delta function

HW#8 due friday 

Last day to withdraw - on friday

12

Mar 31-4

chapter 12, Series solutions of differential equations: Legendre equation and polynomials

no HW due this week 

EXAM 2: Friday, April 4

13

Apr 7-11

chapter 7; Fourier series, Parseval's theorem, Fourier transform; 

HW #9 due friday

14

Apr 14-18

chapter 12, Partial differential equations, Laplace equation, 

HW #10 due friday

15

Apr 21-25

diffusion equation, wave equation, 

HW#11 due friday  

16

Apr 28-2

April 28: Last day of instruction

FINAL: Friday, May 2, 1-3pm ....... Good success !!