Math 0290: Applied Differential Equations (Spring 2014)

Instructor: Ashok Litwin-Kumar (email: ude [tod] ttip [ta] 29kla)

Lectures: Mondays and Wednesdays, 6:00-7:15pm, Thackeray Hall 704

Office Hours: Tuesdays, 2:00-3:00pm or by appointment, Thackeray Hall 504

Assignments and solutions

Schedule

This schedule will be modified as the course progresses. Check back here to stay up to date.

Date	Topic	Homework due	Section, practice problems, and materials
Mon. 1/6	Introduction to ODEs		1.1: #1-11
Wed. 1/8	First order equations		2.1: #1,2,6,7, 12-15; 2.2: #1-18
Mon. 1/13	First order equations (cont.)		2.4: #1-21, 29-35; 2.6: #1-21
Wed. 1/15	Numerical techniques	HW 1	4.1; download DFIELD; Intro to MATLAB slides
Mon. 1/20	MLK Day
Wed. 1/22	Modeling	HW 2	2.7: #1-6; 3.1: #1-3, 10,12,13; 3.3: #1-3; 1st order ODE reference
Mon. 1/27	Second order equations		4.1: #1-10, 13-16
Wed. 1/29	Second order: constant coefficients	HW 3	4.3: #1-36, 4.4: #13,14,20
Mon. 2/3	Undetermined Coefficients		4.5: #1-38
Wed. 2/5	Variation of Parameters	HW 4	4.6: #1-14
Mon. 2/10	Harmonic Motion		4.7: #12-19
Wed. 2/12	Midterm 1
Mon. 2/17	Laplace transforms		5.1: #1-14, 25-28
Wed. 2/19	Laplace transforms (cont.)	HW 5	5.2: #1-33, 5.3: #1-36, 5.4: #1-26
Mon. 2/24	Laplace transforms (cont.)		5.5: #1-8, 10-25
Wed. 2/26	Laplace transforms (cont.)	HW 6	5.6: #2-7; 5.7: #4-10, 26-31
Mon. 3/3	Linear algebra		9.1: #1-12
Wed. 3/5	Planar systems	HW 7	9.2: #1-6, 16-21
Mon. 3/10	Spring break
Wed. 3/12	Spring break
Mon. 3/17	Planar systems (cont.)		9.2: #1,2
Wed. 3/19	Midterm 2
Mon. 3/24	Planar systems: stability		2.9: #15-22 parts (i) and (ii); 9.4: #1-12
Wed. 3/26	Nonlinear systems	HW 8	10.2: #1-4
Mon. 3/31	Nonlinear systems (cont.)		10.3: #1-4, 9-12; download PPLANE
Wed. 4/2	Fourier transforms	HW 9	12.1: #1-6
Mon. 4/7	Fourier transforms (cont.)		12.1: #7-16; plotfourier.m
Wed. 4/9	Intro to PDEs	HW 10
Mon. 4/14	Final exam review		See below for review materials
Wed. 4/16	Final exam

Exam materials

Topics for midterm 1: download pdf

Practice exam 1 (for midterm 1): download pdf
You don't need to know how to do 2(a) since we didn't discuss phase lines or stability yet. You should be able to answer 2(b). You also don't need to know how to solve problem 4 since we haven't gotten to Laplace transforms yet. A problem like number 3 would be fair game, but I would write down the ODE for you.

Practice exam 2 (for midterm 1): download pdf
You don't need to know how to do problem 2, since we haven't set up any loan problems. But you will be expected to know how to set up problems involving savings accounts with withdrawals or deposits. Also, undetermined coefficients will not be part of this exam's topics, so you don't need to know how to do problem 5.

Selected formulas that will be included with midterm 2 and the final: download pdf

Topics for midterm 2: download pdf

Practice exam 3 (for midterm 2): download pdf

Topics for final: download pdf

Practice exam 4 (for the final): download pdf
This is a final from a previous iteration of the course with a different instructor. But given what we've discussed in class, you should be able to answer these questions.

Selected formulas that will be included with the final: download pdf

Final exam practice problem review sheet: download pdf