End of Term Schedule:
The next office hours will be: Thursday, 3 May at 5:30 - 6:00 PM
Course Objectives and Syllabus
Criteria for Each Objective
Day 1 Outline - Why the diffusive profile matters.
Day 2 Outline - Physical Intuition on Diffusions
Day 3 Outline - Physical Intuition on Waves
Day 4 Outline - Fick's Law
Day 5 Outline - Solving Diffusions Physically
Day 6,7 Outline - Writing and Interpreting Transport and Diffusions
Day 8 Outline - Diffusion in 2- and 3-d, Posing Boundary Value Problems
Day 11 Outline - Method of Characteristics
Day 12 Outline - Symmetry
Day 13 Outline - Waves and Reflections
Day 14 Outline - Similarity Solutions
Day 15 Outline - Initial Value problems with homogeneous Dirichlet BCs.
Day 16 Outline - Fourier Series
Day 17 Outline - Fourier Series and BVPs in periodic geometry
Day 18 Outline - Sine and Cosine Series and BVPs in Finite Domains.
Day 19 Outline - Sturm-Liouville Problems and Eigenfunctions of the Laplacian
Day 20 Outline - Dirac Delta and Greens Functions in 1d
Major Questions about diffusions and waves (revised)
Preview of Midterm 1
Summary up to Midterm 1
Preparation for Class:
Preparation for Day 6. 2 Feb.
Preparation for Day 7. 7 Feb.
Homework from Day 1 Due 19 Jan.
Homework from Day 2 Due 26 Jan.
Homework from Day 3 Due 26 Jan and 31 Jan.
Homework from Day 4: Page 1 Page 2 Due 31 Jan, 2 Feb, and 7 Feb. Note: Problem 5 is due on 7 Feb.
Homework from Day 6 Due 7 Feb and 9 Feb.
Homework from Day 8 Due 14 Feb. Homework from Day 12 Due 7 Mar. Homework from Day 14 Due 21 Mar. Homework from Day 16 Due 30 Mar. Homework from Day 18 Due 6 Apr. Homework from Day 19 Due 13 Apr. Homework from Day 20 Due 20 Apr.