PHYSICS 116C
Homework 10
Due on class on Thursday December 5 (the last class). This homework will be graded. Solutions will
be posted on the class web site after the class.
Final Exam: The nal exam will be on Tuesday December 10, 4:007:00 pm.
I am hoping
PHYSICS 116C
Midterm
In class, Tuesday November 5, 2013, 12:001:45 pm.
The exam is closed book but you may bring in one sheet of hand written notes if you wish.
You must explain your answers.
No calculators or other electronic devices are allowed.
Note: Q
PHYSICS 116C
Homework 6
Due in class, Thursday November 7
The midterm will be in class on Tuesday November 5. It will cover all the material up to and
including separation of variables in cartesian coordinates.
Exams are closed book but you may bring on
PHYSICS 116C
Homework 3
Due in class, Thursday October 17
Midterm Reminder: The midterm will be in class on Tuesday November 5.
1. Starting from the series expression for the Bessel functions J (x) discussed in class (see also Boas
Ch. 12, Eq. (13.1) show
PHYSICS 116C
Homework 2
Due in class, Thursday October 10.
There are questions on both sides of the sheet.
Oce Hours
My oce hour: Wednesdays, 10:0012:00, ISB 212
TAs oce hour: Mondays, 12:002:00 pm., ISB 314
Solutions
Typed up homework solutions will be p
PHYSICS 116C
Final
Tuesday December 10, 2013, 4:007:00 pm.
The exam is closed book but you may bring in one sheet of hand written notes if you wish.
No calculators or other electronic devices are allowed.
To get full credit YOU MUST EXPLAIN YOUR WORK
1. [
PHYSICS 116C
Homework 5
Due in class, Thursday October 31
Midterm Reminder: The midterm will be in class on Tuesday November 5. The exam will be closed
book, but you may bring one one sheet of handwritten notes on which you can write anything you like.
No
PHYSICS 116C
Homework 4
Due in class, Thursday October 24
1. Note: This question is longer than the others and will get more points. It is important that you
make an eort to answer it fully, since it summarizes much of what we have been doing for the
last
PHYSICS 116C
Homework 7
Due in class, Thursday November 14
1. Consider the modes of vibration of a circular drum which are circularly symmetric (i.e. have no
dependence on ). Denoting the frequencies of the lowest three modes by 1 , 2 and 3 nd the
ratios
PHYSICS 116C
Homework 9
Due in class, next Tuesday, November 26 (since Thursday is Thanksgiving).
Note: Next week my oce hour will be on Monday, (Nov. 25), 10:0012:00 rather Wednesday in order
to be before the due date for the homework. The following week
Physics 116C. Mathematical Methods. Professor Dine
Fall, 2016. Homework Set 2
Due Thurs., Oct 13
1. Expand the generating function for the Legendre polynomials as in equation 5.3 to order
h3 . Verify that the x3 h3 term has the expected coefficient (youll
Physics 116C. Mathematical Methods. Professor Dine
Fall, 2016. Homework Set 6
Due Thurs., Nov. 11
1. Boas Chapter 12, 22.7.
2. Use the generating function for the Heremite polynomials to compute H0 , H1 and H2 .
3. Boas Chapter 12. 22.9
Physics 116c. Mathematical Physics. Professor Dine
Fall 2016: Final Exam Review
1. Basic partial differential equations of physics: heat equation, Schrodinger equation, wave
equation, Laplace and Poissons equation
2. Separation of variables: Cartesian coo
Physics 116C. Mathematical Methods. Professor Dine
Fall, 2016. Homework Set 4
Due Thurs., Oct 27
1. Verify that Y21 is properly normalized.
2. Verify that r
3Y 2
2
satisfies the Laplace equation. Similarly r2 Y22 .
3. Verify that the terms in the expansio
Physics 116C. Mathematical Methods. Professor Dine
Fall, 2016. Homework Set 1
Due Thurs., Oct 6
1. Boas, Chapter 13, Section 1, Problem 2.
2. Boas, Chapter 13, Section 1, Problem 4.
3. Boas, Chapter 13, Section 2, Problem 4
4. For the Laplace equation in
Physics 116C. Mathematical Methods. Professor Dine
Fall, 2016. Homework Set 5
Due Thurs., Nov. 4
1. Spherical Bessel Functions and the Schrodinger Equation Consider the equation
2 r2
h
h2 k 2
(r, , ) =
2m
2m
in spherical coordinates. Separate variables a
PHYSICS 116C
Homework 1
Due in class, Thursday October 3
1. By looking for a solution in the form a series nd the general solution of the dierential equation
(x2 + 1)y 2xy + 2y = 0 .
2. Consider the array of charges shown below. Determine the form of the