## Math 257/316: Partial Differential Equations

### Class Venues, Times, and Instructor Information:

Section 102:
Monday, Wednesday, Friday at 9 am in Geography 200.
Instructor: Dr. Jessica Conway.
E-mail: conway@math.ubc.ca
Office hours: Math Annex 1110 - Mondays 12-2pm, Fridays 12-1pm.
Problem Sessions: Chemistry Building Rm 250 - Mondays 5:30-7pm.

### Course Information:

Course outline here.
Office hours for all Math 257/316 instructors and TAs: Grid

### Dates to Remember:

• Midterm 1: Monday, October 19th.
• Midterm 2: Friday, Novermber 20th.
• Final Exam: After December the 7th on a date at a time and location TBA.

• ### Class Demos:

• Excel Spread Sheet to evaluate a Fourier Series
• Oboe
• Heat0, Laplace0, Wave0, HeatFS_TDBC, Heat0f

• ### Online Excel/Calc Spreadsheet Tutorials:

• Basic Excel Tutorial, Basic Calc Tutorial
• Using Excel to evaluate a Fourier Series
• Using Excel to solve the Heat Equation by Finite Differences
• Comparing the Finite Difference solution of the Heat Equation with the Fourier Series Solution
• Using Excel to solve the wave equation - including how to construct a slider
• Using Excel to solve Laplace's Equation

• ### Handouts and WEB Resources:

• Math 257/316 Course Notes by Richard Froese
• Notes on the Radius of Convergence
• Additional worked-out heat equation examples
• Additional Eigenfunction Expansion Examples (assignment from last year): Supplementary Examples, Solutions

### Homework:

• Assignment 1, Solutions
• Assignment 2, Solutions
• Assignment 3, Solutions
• Assignment 4, Solutions
• Assignment 5, Solutions
• Assignment 6, Heat0Slider0H.xls, Heat0Slider0H_SliderFails.xls; Solutions, Solved Spreadsheet
• Assignment 7, Heat_Assg7prob3.xls; Solutions, Solved Spreadsheet
• Assignment 8, Heat_Assg8Prob4.xls; Solutions to problems 2, 3, 4, Solved Spreadsheet
• Assignment 9, Wave_Assg9.xls; Solutions, Solved Spreadsheet

• ### Suggested Problems from Textbook:

• Section 5.2: 7a, b
• Section 5.3: 8, 12
• Section 5.4: 6, 7, 8, 23, 24, 44, 45, 46
• Section 5.5: 1, 3, 8, 13
• Section 5.6: 6, 10
• Section 10.1: 16
• Section 10.2: 13, 16
• Section 10.4: 15a, 16a
• Section 10.5: 7, 11
• Section 10.6: 1, 4, 7

Jessica M. Conway / Department of Mathematics / University of British Columbia