SUNY-Geneseo/Physics & Astronomy
Spring 2010
Mathematical Methods
in Physics
(Phys 228)
MT 1:00 pm, ISC 131
MW 1:00 pm, ISC 131
MR 1:00 pm, ISC 131

 

   Dr. Pogo  (pogo at geneseo.edu)
   Where's Pogo?
   Office: ISC 228D
   
Syllabus in PDF Format
Virtual Labs at Geneseo:
 
 
Demos, Homework Assignments, and Solutions
 
 
Equation Sheet for Final Exam
Virtual Lab Instructions
 
 
 Current Grade Status
Geometric Series Update
 
 

 

What am I doing here? The main objective of this course is to help you develop skill with a variety of commonly used mathematical and numerical methods in physics in engineering. We will focus on the practical rather than the theoretical aspects of each technique, but there will naturally be some theory involved. The topics include derivatives and partial derivatives, infinite series (including Fourier series and Taylor series), vector calculus, complex numbers, linear algebra, tensors, differential equations, and probability. There will also be some examination of commonly used numerical techniques.

What do I have to read? The textbook is: Mathematical Methods in the Physical Sciences, by Mary Boas (3rd edition, Wiley). This book is very readable.

How will I be graded? Your grade will be determined by:  

Weekly Assignments & Quizzes:
Exams (3 total)
 
 40%
 60%
100%
 

Final Exam: The final exam will be held on Monday, May 10, from 3:30 to 6:30pm, and will be comprehensive.

Assignments: Homework will be done primarily on CAPA this semester. However, some assignments will require submission of MathCAD documents, or supporting written work. Written work will be graded on clarity (a combination of neatness and completeness) and accuracy. Be warned: an answer is not the same as a solution. Assignments that are too hard to understand are also too hard to grade, and will receive zeroes.

       Some reminders about the minimum requirements for acceptable assignments:

·         Use exactly 8˝ ´ 11 inch paper. Do not use spiral ring paper. Use only one side of each sheet.
·         Put your name and the assignment number on the top of each page.
·         Staple your sheets together. No paper clips, or torn or folded corners.
·         Use pencil, not pen. Erase mistakes instead of blotching them out.
·         Work must progress linearly down the page. Recopy solutions that are too nonlinear.
·         Be careful with symbol names. There may be more than one velocity in a problem, so they can’t both be called “v”. Use subscripts when needed.
·         Do not use computational notation, such as ^, *, E, :=, etc.
·         Use words and pictures to supplement your equations. Isn’t that what you want when you read?
·         Work symbolically rather than numerically whenever possible.
·         Box your answers.
What is the course schedule? Here is a tentative hourly schedule of topics for the semester.

What is the course schedule? Here is a tentative schedule of topics for the semester: 

Class

Date

Topic

1

TWR  Jan 19, 20, 21

Infinite Series [Ch. 1]

2

Monday, January 25

Series II; Taylor series and approximations of derivatives [Ch. 1]

3

TWR Jan 26, 27, 28

Vector calculus I: dot, cross, del, and grad [Ch. 6]

4

Monday, February 1

Vector calculus II: divergence, curl, Laplacian [Ch. 6]

5

TWR, Feb 2, 3, 4

Numerics: Plotting with MathCAD

6

Monday, February 8

Derivatives/Chain rule [Review/Ch. 4]

7

TWR, Feb 9, 10, 11

Complex analysis I [Ch. 2]

8

Monday, February 15

Complex analysis II [Ch. 2]

9

TWR, Feb 16, 17, 18

Numerics: General computing with MathCAD

10

Monday, February 22

Exam #1 (covers classes 1-8)

11

TWR, Feb 23

Linear algebra I [Ch. 3]

12

Monday, March 1

Linear algebra II  [Ch. 3]

13

TWR, Mar 2, 3, 4

Numerics: Curve fitting

14

Monday, March 8

Eigenvalues & Eigenvectors  [Ch. 3]

15

TWR, Mar 9, 10, 11

Tensors  [Ch. 10]

Spring Break

16

Monday, March 22

Coordinate Transformations  [Ch. 10]

17

TWR, Mar 23, 24, 25

Multi-variable integration review with Numerics [Review/Ch. 5]

18

Monday, March 29

1st order ordinary differential equations (separation of variables) [Ch. 8]

19

TWR, Mar 30, 31, Apr 1

2nd order ordinary differential equations (constant coefficients) [Ch. 8]

20

Monday, April 5

Exam #2 (covers classes 9-17)

21

TWR, Apr 6, 7, 8

Numerics: Differential equations (MathCAD RKadapt)

22

Monday, April 12

Fourier series I [Ch.7]

23

TWR, Apr 13, 14, 15

Fourier series II & Fourier Transforms [Ch. 7]

24

Monday, April 19

Partial differential equations (heat equation) [Ch. 13]

25

WR, Apr 21, 22

Partial differential equations (wave equation) [Ch. 13]

Note that the Tuesday section will not meet on April 20, due to “Great Day”. Students in the Tuesday section are encouraged to attend either the Wednesday or Thursday section that week.

26

Monday, April 26

Probability: interpreting a pdf, counting, “choosing”  [Ch. 15]

27

TWR, Apr 27, 28, 29

Probability: common distributions (normal, binomial, poisson)  [Ch. 15]

28

Monday, May 3

Statistics: standard deviation  [Ch. 15]

 

T, May 4

Review

{29}

Monday, May 10

Final Exam (comprehensive) 3:30 pm