**Term 2, 2018: Math 257/316: **Partial Differential Equations

- Course outline (A summary of the course information)
- Formula sheet (You will get this sheet on the final exam)

**Class time and location:**

- Section 201: Monday, Wednesday, Friday, 11 am – 12 pm, LSK 201
- Section 202: Monday, Wednesday, Friday, 9 am – 10 am, Buchanan, A102

**Office hours (Mathematics Building 110):**

- Mondays 12 – 1 pm, Wednesdays and Fridays 1 – 2 pm

Also note that Math Learning Centre provides tutorial assistance.

**Text book and online resources:**

- Elementary Differential Equations and Boundary Value Problems, W.E. Boyce & R.C. DiPrima (John Wiley & Sons) 2012. (Recommended but not required)
- Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (4nd Ed), R. Haberman, (Pearson), 2004. (Recommended but not required)
- Professor Anthony Peirce’s course material: https://www.math.ubc.ca/~peirce/
- Professor Richard Froese’s lecture notes: http://www.math.ubc.ca/~rfroese/notes/Lecs316.pdf

**Grading:**

- Final exam: 50%. Students must get at least 35% on the final exam to pass the course.
- Two in-class midterm exams (each 20%): 40%. There will be no make-up midterms. If you cannot make it to any of the midterms (for a legitimate reason), you must inform me at least two days before the test date.
- Homework (including Matlab assignments): 10%. Assignment should be submitted at the beginning of the class on the day they are due. No late submission or electronic submission will be accepted. You must submit your assignment at the section you are registered in. The handed in assignment must be your own work.

**Midterm dates:**

Monday, February 26th and Friday, March 23rd

**Midterm exam resources:**

There are many sample previous midterm exams (with their solutions!) on Professor Anthony Peirce’s webpage: https://www.math.ubc.ca/~peirce/

Make sure you do a lot of practice.

Midterm1 : section 201: exam, solutions, section 202: exam, solutions

**Final date/location: **

TBD

**Final exam resources:**

See Professor Anthony Peirce’s webpage: https://www.math.ubc.ca/~peirce/

for past exams and their solution. Mathematics department also has a data base for past exams, see here.

**Homework:**

See supplementary homework exercises here.

- Assignment 1, due date: Monday, January 15, solutions
- Assignment 2, due date: Monday, January 22, solutions
- Assignment 3, Matlab code, due date: Monday, January 29 (Change the extension of the Matlab code to .m to run in Matlab. This code generates two figures saved in an eps format in your working directory.), solutions (problem 5 solution updated on Feb 6)
- Assignment4, Matlab code, due date:
~~Wednesday, February 7~~, Friday, February 9, Solutions (a correction made on page: 10), Matlab codes: analytical, numerical - Assignment 5, Matlab code, due date: Friday, February 16 (late submission will be accepted until Monday February 19), Solutions
- Assignment 6, Matlab code, due date: Friday March 9, Solutions
- Assignment 7, due date: Friday March 16, Solutions
- Assignment 8, Not for submission, Solutions

**Class notes:**

- Week January 3-5: Review of ODEs, Power series solution
- Classnotes, notes on radius of convergence of series
- Reference to Professor Peirce’s notes: Lectures 1 and 2

- Week January 8-12: Series solutions near ordinary and regular singular points (Frobenius solution)
- Week January 15-19: Bessel’s function, Introduction to PDEs
- Classnotes: Monday and Wednesday ( a correction made on Friday, Jan 26), Friday (Matlab script for Bessesl function , change the extension to .m to run in Matlab)
- Reference to Professor Peirce’s notes: Lectures 5, 6, and 7.

- Week January 23-27: Introduction to PDEs, Numerical methods
- Classnotes: Monday and Wednesday, Friday, Matlab code
- Reference to Professor Peirce’s notes: Lectures 6, 7, and 8 and the powerpoint slides.

- Week January 29- February 2: Numerical methods, Separation of variables and Fourier series
- Classnotes: Monday (Note: a correction made on page 3 on Jan 31 and page 8 replaced on Feb 7), Wednesday, Friday, Matlab code for heat equation, Matlab code for heat equation with fictitious nodes , Matlab code for wave equation, Matlab code for Laplace equation, Class Matlab demos
- Reference to Professor Peirce’s notes: Lectures 8 and 9

- Week February 5-9: Separation of variables and Fourier series
- Week February 12-16: The heat equation and Fourier series
- Week February 26- March 2: Fourier series, heat equation with inhomogeneous boundary conditions
- Week March 5-9: Heat conduction with inhomogeneous BCs, and distributed sources/sinks
- Week March 12-16: Wave equation
- Week March March 19-23: Laplace’s equation
- An overview of heat and wave equations
- Classnotes: Monday, Wednesday
- Reference to Professor Peirce’s notes: Lectures 24, 25.