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Mathematical Methods for Engineers II >> Content Detail



Assignments



Assignments

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Special software is required to use some of the files in this section: .m.



Assignments from Spring 2006



assignmentsSOLUTIONSsupporting 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:

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


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

In Section 6.5: Do problems 1-2, and 17.
Homework 2In 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 3Read 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)

 








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