PHYSICS 301, Theoretical Physics, PHYSICS 605 Mathematical Physics

Rob Thompson Hunter College Fall 2020

Tuesdday/Thursday 4:10-5:25 Room: Online

**e-mail:**
robert.thompson@hunter.cuny.edu

**Office: ** Zoom address: profthompson **Hours:** T/Th 6:00-7:00pm and by appointment

- 2.1-2.4/Periodic functions and Fourier Series, arbitrary periods, half-range expansions.
- 2.2/Fourier convergence - you need to know the statement of the theorem, and how it applies to examples. You do not need to know the proof.
- 2.5,2.6/Parseval's Identity, complex form of Fourier series
- 3.1-3.3/One dimensional wave equation
- 3.5,3.6/One dimensional heat equation

3.5/2,4,11

3.6/1,3

- The student will be able to model certain basic physical situations such as the diffusion of heat in a material, the vibration of a string, or a potential field, by a means of a PDE together with initial-boundary value conditions.
- Compute Fourier series and evaluate their convergence properties.
- Solve initial-boundary value problems using various techniques.

**Prerequisites:**MATH 254 or the equivalent.**Required Textbook:**Partial Differential Equations with Fourier Series and Boundary Value Problems , Third Edition, by Nakhle Asmar. Dover Publications, or Campus Bookstore.**Homework:**Regular homework assignments to be handed in. Homework assignments will be submitted via BlackBoard. There are instructions for submitting homework below.**Exams:**There will be two midterm exams and a comprehensive final exam. The first exam will be approximately a third of the way through the course, the second exam will be approximately three fourths of the way. The final exam will be after the last class meeting, on the date scheduled by Hunter College for this particular section.**Grading:**Homework will count for 20% of your course grade. The midterm exams will be worth 25% each and the final exam will count for 30% of your course grade. If you stop attending the course and do not withdraw, you will receive a grade of WU. You may elect to take the course on a credit/no credit basis if you are eligible, but this is subject to the College's rules, which means you that you will not be eligible for credit/no credit grading unless you have attended most class periods, taken all the exams, including the Final Exam, and completed most of the homework.

- Assignment One (Due Friday 9/4) :

1.1/5,6,8,9

1.2/3,4,5

3.1/1-6,7cef,9,11

- Assignment Two (Due 9/24):

2.1/7,8

2.2/5ab,7ab,10ab,13ab,18

2.3/3,4,6,17,25,26,27

2.4/3,6,9

3.3/2,5,8 - Assignment Three (Due 10/13, 4:00 pm):

2.5/1,2,7,8

3.3/12,13

3.5/3,5,6,9,12,13

3.6/5,15 - Assignment Four:

3.7/2,3,6,11,14

3.8/2,4,5,11

3.9/1,4,5,12,20

- Go to the BlackBoard page for this class
- On the left hand side there is a menu, select "Course Information"
- Select the Assignment you are submitting (e.g. Assignment One)
- Ignore the item that says "Point Possible"
- Select the"Browse my computer" button
- Find your PDF file which is your homework
- Upload it

- Chapter Two: Fourier Series
- Chapter Three: PDE's in Rectangular Coordinates
- Chapater Four: PDE's in Polar and Cylindrical Coordinates
- Chapter Five: PDEs in Spherical Coordinates
- Chapter Eleven: Schrodinger's equation