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Physics 367: Mathematical Methods of Physics I (Spring 2018)

 

Syllabus

 

Lecture notes

Solutions to homework and exams (password protected)

Other

 

Chapter 1

Chapter 2

Chapter 3

Chapter 6

HW1

HW2

HW3

HW4

HW5

HW6

HW7

HW8

HW9

HW10

HW11

HW12

HW13

HW14

HW15

 

Course schedule

 

Monday

Wednesday

Friday

January 15

Happy Holiday!

January 17

Geometric series-1

Read: Ch 1: 1-3

HW1: 1.1.2,8; 1.2.1,7.

January 19

Geometric series-2

Read: Ch 1: 1-3

No homework

No homework due

January 22

Convergence of series

Read: Ch 1: 4-6

HW2: 1.4.7; 1.5.3,9; 1.6.4,5.

January 24

Convergence test-1

Read: Ch 1: 6

HW2: 1.6.12,13,21,26,28,32,35.

January 26

Convergence test-2

Read: Ch 1: 6

No homework

HW1 due

January 29

Alternating series

Read: Ch 1: 7-9

HW3: 1.7.3,4,6,7; 1.9.1,4,9,10,16,20.

January 31

Power series-1

Read: Ch 1:10-13

HW3: 1.10.2,7,15,23.

February 2

Power series-2

Read: Ch 1:10-13

No homework

HW2 due

February 5

Power series expansion

Read: Chapter 1:13-14

HW4: 1.13.5,8,14,20,28,42; 1.14.6.

February 7

Complex numbers

Read: Ch 2: 1-4

HW4: 2.4.1,3,5,15,18.

February 9

Complex algebra-1

Read: Ch 2: 5

No homework

HW3 due

February 12

Happy Holiday!

February 14

Complex algebra-2

Read: Ch 2: 5

HW5: 2.5.2,7,23,26,33,36,47,59,68.

February 16

Complex infinite series

Read: Ch 2: 6-7

HW5: 2.6.3,5,6,13; 2.7.8,11,15.

HW4 due

February 19

Elementary functions

Read: Ch 2: 8-10

HW6: 2.9.7,13,23,38; 2.10.2,18,21,27.

February 21

Exponential and trigonometric functions

Read: Ch 2: 11-12

HW6: 2.11.6,8,10,11; 2.12.1,3,11,32,36.

February 23

Complex roots and powers

Read: Ch 2: 13-15

HW6: 2.14.3,4,8,14,17; 2.15.1,3,15.

HW5 due

February 26

Matrices

Read: Ch 3: 1-2

HW7: 3.2.4,8,10,12,15.

February 28

Homework review

No homework

March 2

Exam 1

No homework

HW6 due

March 5

Determinates

Read: Ch 3: 3

HW8: 3.3.1,10,15,17. (No computer work is needed.)

March 7

Exam 1 review

No homework

March 9

Vectors

Read: Ch 3: 4

HW8: 3.4.5,7,12,18,26.

HW7 due

March 19

Lines and planes

Read: Ch 3: 5

HW9: 3.5.7,12,18,20,26,32,37,42.

March 21

Matrix operations-1

Read: Ch 3: 6

HW9: 3.6.9,13,15,18,21.

March 23

Matrix operations-2

Read: Ch 3: 6

No homework

HW8 due

March 26

Linear operators-1

Read: Ch 3: 7

HW10: 3.7.9,15,22,26.

March 28

Linear operators-2

Read: Ch 3: 7

No homework

March 30

Linear dependence and independence

Read: Ch 3: 8

HW10: 3.8.7,10,13,17,24.

HW9 due

April 2

Special matrices

Read: Ch 3: 9

HW11: 3.9.2,4,5,23,24.

April 4

Linear vector spaces

Read: Ch 3: 10

HW11: 3.10.1,10.

April 6

Eigenvalues and eigenvectors-1

Read: Ch 3: 11

No homework

HW10 due

April 9

Eigenvalues and eigenvectors-2

Read: Ch 3: 11

HW12: 3.11.3,13,14,19,32,33,42.

April 11

Homework review

No homework

April 13

Exam 2

No homework

HW11 due

April 16

Triple product

Read: Ch 6: 3

HW13: 6.3.9,12,19.

April 18

Exam 2 review

No homework

April 20

Gradient

Read: Ch 6: 4-6

HW13: 6.4.2,8; 6.6.1,6,7,9.

HW12 due

April 23

Divergence and curl

Read: Ch 6: 7

HW14: 6.7.6,7,9,13,18.

April 25

Line integrals

Read: Ch 6: 8

HW14: 6.8.9,15,17.

April 27

Greenís theorem

Read: Ch 6: 9

HW14: 6.9.2,3,8,10.

HW13 due

April 30

Gaussí theorem

Read: Ch 6: 10

HW15: 6.10.3,6,7,9

May 2

Stokesí theorem

Read: Ch 6: 11

HW15: 6.11.6,10,12,14.

May 4

Lab visit (Currens Hall 111)

No homework

HW14 due

May 9

Final exam

10:00 am −11:50 pm

HW15 due