18.086 | Spring 2006 | Graduate

Mathematical Methods for Engineers II


Assignments from Spring 2006

assignments SOLUTIONS supporting files
Homework 1 (PDF) (PDF) AB_2.m (M)

HW1_1.m (M)

HW1_2.m (M)

RK_2.m (M)

f_is.m (M)

Homework 2 (PDF) (PDF) Set 1: cde.m (M), cdi.m (M)

Set 2: schrodinger_stable.m (M), schrodinger_stable_implicit.m (M), schrodinger_unstable.m (M)

Set 3: LF.m (M), LW.m (M), Leap_frog.m (M), upwind.m (M)

Set 4: nonlinear_lw.m (M), nonlinear_upwind.m (M)

Assignments from Spring 2005

There will be occasional homework assignments to give experience with the ideas and numerical methods and software that are discussed in class. Homework is assigned in the course textbook:

Strang, Gilbert. Introduction to Applied Mathematics. Wellesley, MA: Wellesley-Cambridge Press, 1986. ISBN: 0961408804.

assignments descriptions supporting files
Homework 1 In Section 6.4: Do problems 1-5, 13-15, 22, and 29.

In Section 6.5: Do problems 1-2, and 17.

Homework 2 In Section 6.5: Do problems 16 and 19. Find a stable difference method for ut = uxxx.

In Section 6.6: Do problems 1, 2, 5, and 9.

Also, solve ut + uux = 0 to t = 4 with u(x,0) = 1 and 0, also 0 and 1, as discussed in class (Lax-Friedrichs method).

case1.m (M)

case2.m (M)

Lax_friedrichs_1.m (M)

batch.m (M)

simulation.m (M)

Homework 3 Read text pages 403-411, and also section 3.6 of the “new book”. (PDF)

Answer and turn in problems 1, 2, and 3 in that section 3.6 plus develop the following code. (PDF)


Course Info

As Taught In
Spring 2006
Learning Resource Types
Lecture Videos
Projects with Examples
Problem Sets with Solutions