Physics 567: Mathematical Physics (Fall 2011)

 

Syllabus

 

Class notes

Solutions to homework and exams (Password protected)

Other

 

Chapter 1

Chapter 3

Chapter 6

Chapter 7

Chapter 9

Chapter 10

HW1

HW2

HW3

HW4

HW5

HW6

HW7

HW8

HW9

HW10

HW11

HW12

HW13

HW14

 


 

 

Course Schedule

 

Monday

Wednesday

Friday

August 22

Elementary approach

Read: Ch1: 1-2

HW1: 1.1.1,1.2.1(a)

August 24

Scalar and vector products-1

Read: Ch1: 3-5

HW1: 1.3.3,1.4.7,1.5.12

August 26

Scalar and vector products-2

Read: Ch1: 3-5

No homework

No homework due

August 29

Gradient, divergence and curl-1

Read: Ch1: 6-9

HW2: 1.6.3,1.6.4,1.7.5,1.8.4,

1.8.11,1.8.13,1.8.14,1.9.7

August 31

Gradient, divergence and curl-2

Read: Ch1: 6-9

No homework

September 2

Gaussí theorem and Stokesí theorem-1

Read: Ch1: 10-12

HW2: 1.10.5,1.11.2,1.11.6,1.12.3, 1.12.10

HW1 due

September 5

Happy Labor Day!

 

September 7

Gaussí theorem and Stokesí theorem-2

Read: Ch1: 10-12

No homework

September 9

Gaussí law and Dirac delta function

Read: Ch1: 13-15

HW3: 1.13.8,1.13.9,1.14.3,1.15.7

HW2 due

September 12

Helmholtzís theorem

Read: Ch1: 16

HW4: 1.16.1

September 14

Determinants

Read: Ch 3: 1

HW4: 3.1.1,3.1.2

September 16

Matrices-1

Read: Ch 3: 2

HW4: 3.2.1,3.2.31,3.2.34,3.2.36

HW3 due

September 19

Matrices-2

Read: Ch 3: 2

No homework

September 21

Orthogonal matrices

Read: Ch 3: 3

HW5: 3.3.1,3.3.8,3.3.9,3.3.10,3.3.14

September 23

Diagonalization ofmatrices-1

Read: Ch 3: 4-5

HW5:3.4.4,3.4.5,3.4.7,3.4.8,3.5.6,3.5.8, 3.5.9,3.5.12,3.5.27

HW4 due

September 26

Diagonalization ofmatrices-2

Read: Ch 3: 4-5

No homework

September 28

Normal matrices

Read: Ch 3: 6

HW6: 3.6.3,3.6.4,3.6.6,3.6.10,3.6.11

September 30

Exam 1

No homework

HW5 due

October 3

Cauchy-Riemann conditions

Read: Ch 6: 1-2

HW7: 6.1.7,6.1.17,6.2.1,6.2.8

October 5

Exam 1 review

No homework

October 7

Cauchyís theorem

Read: Ch 6: 3-4

HW7: 6.4.1,6.4.3,6.4.4

HW6 due

October 10

Analytic continuation

Read: Ch 6: 5

HW8: 6.5.2,6.5.5

October 12

Laurent expansion

Read: Ch 6: 5

HW8: 6.5.8,6.5.9,6.5.10

October 14

Argonne Symposium

(Class cancelled)

No homework

HW7 due

October 17

Branch points and branch cuts

Read: Ch 6: 6

HW9: 6.6.1,6.6.2,6.6.3

October 19

Mapping

Read: Ch 6: 7-8

HW9: 6.7.1,6.7.2,6.8.1

October 21

Residue theorem

Read: Ch 7: 1

HW9: 7.1.1

HW8 due

October 24

Cauchy principle value

Read: Ch 7: 1

HW10: 7.1.4

October 26

Evaluation of definite integrals-1

Read: Ch 7: 1

HW10: 7.1.7,7.1.8,7.1.10

October 28

ISAAPT Meeting

(Class cancelled)

No homework

HW9 due

October 31

Evaluation of definite integrals-2

Read: Ch 7: 1

HW11:7.1.11,7.1.12,7.1.13,7.1.14,7.1.16

November 2

Evaluation of definite integrals-3

Read: Ch 7: 1

HW11: ††7.1.17 (b),7.1.18,7.1.19, 7.1.21,7.1.22,7.1.25,7.1.26

November 4

Exam 2

No homework

HW10 due

November 7

First order differential equations

Read: Ch 9: 1-2

HW12: 9.2.2,9.2.3,9.2.4

November 9

Linear first order ODEs-1

Read: Ch 9: 2

HW12: 9.2.11,9.2.13,9.2.14

November 11

Linear first order ODEs-2

Read: Ch 9: 2

No homework

HW11 due

November 14

Separation of variables

Read: Ch 9: 3

HW13: 9.3.4,9.3.9

November 16

Series solution-1

Read: Ch 9: 4-5

HW13: 9.4.1,9.4.2,9.5.6(a),9.5.16

November 18

Series solution-2

Read: Ch 9: 4-5

No homework

HW12 due

November 28

A second solution

Read: Ch 9: 6

HW14: 9.6.6,9.6.9,9.6.15,9.6.19

November 30

Greenís function

Read: Ch 9: 7

HW14: 9.7.5,9.7.15

December 2

Helmholtz equation

Read: Ch 9: 7

No homework

HW13 due

December 5

Self-adjoint ODEs

No homework

December 7

Sturm-Liouville theory

No homework

December 9

Greenís function-Eigenfunction expansion

No homework

HW14 due

December 12

Final exam

10:00 am