PH561 – PH505

MATHEMATICAL METHODS:

SUPPLEMENTARY READING AND CONFERENCE

http://physics.oregonstate.edu/~wwarren/COURSES/ph461/505

Syllabus for Fall 2007

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Ph461/Ph561

Last update 10/29/07

 Week

Date

Topic

Reading (RHB 3rd Ed.)

Homework

1

W Sept. 26

Matrices                              h1      h2

Vector spaces, linear operations, matrices

§8.1 - §8.5

 

2

W Oct. 3

Transpose, Hermetian conjugates, trace, determinant, inverse                                  h3

§8.6 - §8.10

HW1

SolnHW1

3

W Oct.  10

Rank, Special square matrices                  h4

§8.11, §8.12

HW2

SolnHW2

4

W Oct. 17

Eigenvalues and eigenvectors                   h5

§8.13, §8.14

HW3

SolnHW3

 

W Oct. 24

NO CLASS

 

 

5

W Oct. 31

Change of basis, similarity transformations, diagonalization                                           h6

§8.15, §8.16

HW4

SolnHW4

6

W Nov. 7

Complex Variables                       h7

Analyticity, Cauchy-Riemann equations

§24.1, §24.2

HW5

SolnHW5

7

W Nov. 14

Complex power series, elementary and multi-valued functions, singularities and zeros

§24.3 - §24.6

HW6

SolnHW6

8

M Nov. 19

16:00

Complex integrals, Cauchy’s theorem, Cauchy’s integral formula                          h8

§24.8 - §24.10

 

9

W Nov. 21

Laurent series, residue theorem

§24.11 - §24.12

HW7

SolnHW7

10

W Nov. 28

Finding poles and residues, applications

 

HW8

SolnHW8

 

Friday,

Dec 7

07:30 - 09:20

FINAL EXAM       final exam info