ODE at Poolesville: Homework

2012-2013, Dr. Ron Lipsman

There are two kinds of homework problems. MATHEMATICA-based problems are taken from the DEwM book. Problems will be assigned from Problem Sets A, B, C, D & F. To see which problems from these sets are to be worked (together with their solutions eventually), use this link. These problems must be solved using the MATHEMATICA computer package. More information on the DEwM/MATHEMATICA homework may be found in another section of this web page. We note only here that these will be integrated documents combining input, output, graphics, and textual commentary.

Problems from B&DiP may be solved either with paper and pencil or with MATHEMATICA, at your discretion. Only the MATHEMATICA homework will be collected and graded!

The problems listed here are the minimum amount you should do to acquire proficiency in the material of this course. Plain problem numbers refer to B&DiP, that is, Elementary Differential Equations, Ninth Edition, by W. Boyce and R. DiPrima. Bold italic problems refer to DEwM-based problems, that is, those found in the problem sets in Differential Equations with MATHEMATICA, Third Edition, by B. Hunt, R. Lipsman, J. Osborn, D. Outing and J. Rosenberg. The latter are to be turned in no later than one week following the week in which they are assigned. So, for example, Problem 1 in PSB appears in the assignment for Week 3; it is to be solved and turned in --- either during class (a printed version) in Week 4 or, and preferably, by email anytime in Week 4 before class meets. These problems must be solved using MATHEMATICA.

In general, B&DiP contains many more than one problem of each type. You should do as many problems of each type as it takes to convince yourself that you have mastered the skill. Problems on exams will be written in a way that assumes you have acquired all the basic skills.


Week 1.

Problem Set A: Problems 1-14

Section 1.1, Problems: 1, 7, 15

Section 1.2, Problems: 1, 4

Section 1.3, Problems: 1, 7, 15, 29


Week 2.

Section 2.1, Problems: 1, 13, 21, 34


Week 3.

Problem Set B, Problems: 1, 4

Section 2.2, Problems: 1, 9, 21, 25, 26


Week 4.

Section 2.3, Problems: 1, 2, 7, 8, 14, 15, 25, 26


Week 5.

Problem Set B, Problems: 14, 16

Section 2.4, Problems: 1, 7, 13, 27, 32


Week 6.

Problem Set B, Problem: 18

Section 2.5, Problems: 1, 8, 16, 17


Week 7.

Section 2.6, Problems: 1, 13, 15, 18, 19


Week 8.

Problem Set C, Problems: 2, 4

Section 2.7, Problems: 1, 11


Week 9.

MATHEMATICA Presentation 1, Stability of 1st Order IVPs


Week 10.

First Exam


Week 11.

Problem Set C, Problems: 5, 8, 10

MATHEMATICA Presentation 2, Numerical and Graphical Methods for 1st Order Eqns


Week 12.

Section 3.1, Problems: 1, 9, 23


Week 13.

Section 3.2, Problems: 1, 7, 14, 22, 24


Week 14.

Problem Set D, Problems: 2, 5 or 6

Section 3.3, Problems: 1, 7, 17, 23


Week 15.

Section 3.4, Problems: 1, 11, 15, 23


Week 16.

Problem Set D, Problems: 7, 10

Section 3.5, Problems: 1, 13, 19, 27


Week 17.

Section 3.6, Problems: 1, 5, 13, 21


Week 18.

Section 3.7, Problems: 1, 5, 9


Week 19.

Problem Set D, Problem: 15

Section 3.8, Problems: 1, 5, 15, 21


Week 20.

MATHEMATICA Presentation 3, Second Order Linear Equations and the Airy Functions


Week 21.

Second Exam


Week 22.

Section 7.2, Problems: 1, 3, 5, 10


Week 23.

Section 7.3, Problems: 1, 7, 13, 26


Week 24.

Problem Set F, Problem: 1 (Omit Part (c))

Section 7.1, Problems: 1, 8

Section 7.4, Problems: 3, 6


Week 25.

Section 7.5, Problems: 1, 7, 9, 15, 24


Week 26.

Section 7.6, Problems: 1, 7, 9, 11, 13


Week 27.

Section 7.8, Problems: 1, 5, 7, 11


Week 28.

Third Exam: Thursday, April 18


Week 29.

Problem Set F, Problem: 5

Section 9.1, Problems: 1, 13, 20, 21

Section 9.2, Problems: 1, 5, 17


Week 30.

Problem Set F, Problem 7

Section 9.3, Problems: 1, 5, 19


Week 31.

Problem Set F, Any two of Problems: 8, 9, 10
If you do all three, you get an extra 10 points.

Section 9.4, Problems: 1, 8


Week 32.

Section 9.5, Problems: 1, 7

MATHEMATICA Presentation 4, Linear and Non-Linear Systems


Week 33.

Final Exam