End of Term Schedule:

• Fri, 20 Apr: HW 20 Due.
• HW 21 is cancelled
• Apr 25 - May 9: Oral Finals. No finals after May 9. Schedule your half-hour block over email.
• May 9: All work due.

• Fri, 26 Jan: HW 2.1 - 2.5, 3.1, 3.2
• Wed, 31 Jan: HW 3.3, 3.4, 4.3
• Fri, 2 Feb: HW 4.1, 4.2, 4.4, 5.1
• Wed, 7 Feb: HW 4.5, 6.1, 6.2
• Fri, 9 Feb: HW 6.3, 6.4
• Wed, 14 Feb: HW 8.1, 8.2, 8.3
• Wed, 7 Mar: HW 12.1, 12.2, 12.3
• Wed, 21 Mar: HW 14.1, 14.2
• Fri, 30 Mar: HW 16.1, 16.2, 16.3
• Fri, 6 Apr: HW 18.1, 18.2
• Fri, 13 Apr: HW 19.1
• Fri, 20 Apr: HW 20.1, 20.2

The next office hours will be: Thursday, 3 May at 5:30 - 6:00 PM

Course Objectives and Syllabus
Assessment Policy
Criteria for Each Objective

Notes:

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

Handouts:

Major Questions about diffusions and waves (revised)
Preview of Midterm 1
Summary up to Midterm 1
Midterm 1
Midterm Exercises
Final

Preparation for Class:

Preparation for Day 6. 2 Feb.
Preparation for Day 7. 7 Feb.

Homeworks:

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.

Grades:

Grade Sheet