Methods of Applied Mathematics

Exam 3 Solutions and Final Grades
Here is the final gradesheet: Gradesheet.
Please let me know right away if you find any errors.

Your Exam 3's will be in your mailboxes Monday morning. Those who have no mailbox may pick it up from my office. Let me know if you find any problems with the grading after comparing your answers with the solutions: Exam 3 Solutions.

Have a happy and relaxing winter Break! Best wishes, JR

Homework Assignments
Exam 3 Solutions.
Homework Assignment #9. Solutions
Homework Assignment #8. Solutions
Homework Assignment #7. Solutions
Exam 2 Solutions.
Homework Assignment #6. Solutions
Homework Assignment #5. Solution.
Homework Assignment #4. Solutions.
Exam 1 Solutions.
Homework Assignment #3. Solutions.
Homework Assignment #2. Solutions.
Homework Assignment #1. Solutions.
Office hours:
Monday 2:00-2:50pm if homework due on Tuesday,
Wednesday 2:00-2:50pm if homework due on Thursday,
starting in the week of Sep 13. I will do both days if the demand seems to be there. Also other times possible by appointment.

Solar earth heating steady state
Oscillatory earth heating animation
Fourier solution of Newtonian heating of finite slab (insulated at one end)
Maple worksheet
Diary
Diary

F&M Ch 7 problem summary p1
F&M Ch 7 problem summary p2

Asymptotic expansion for erfc
Maple worksheet
Boundary integral method for Newtonian cooling of half-space
Maple worksheet
Method of images for slab
Maple worksheet
Heat solutions
Maple worksheet
Solution of integral equation with a self-adjoint integral operator (real symmetric non-separable kernel)
Partial sum of eigenfunction expansion compared with numerical solution (collocation with cubic splines) and exact solution: numerical_sol_ie.mws.
Background on cubic spline interpolation: cubic_spline.mws.
Solution of Fredholm integral equation with separable kernel
integral_eqn_2.mws, integral_eqn_2.html
Implicit curve direction
slope_of_implicit_curve.mws.
Anchored
Anchored: images.
Variational examples
Variational treatment of elastic cable: mws, HTML

Variational treatment of compound pendulum: mws, HTML

Brachistochrone with constraints?

Minimal surface of revolution: mws, HTML.

Lab 1: Maple Orientation
Here is your assignment for today. We will be in Hochstetter 139.
Maple Guide
The HTML files can be opened with any browser. You need Maple to open the mws files.
Maple as calculator: HTML, mws.
Maple as analytical tool: HTML, mws.
Maple as programming language: HTML, mws.
Maple for pictures: HTML, mws.
Maple for 3D pictures: HTML, mws.
Welcome!
Class handout