MATH 130A, Ordinary Differential Equations, Fall 2016:

Office hours:M:2-3 W3-4

Office: APM 5256, tel. 534-2734


Teaching assistants: Ryan Cooper, email:, office hours: Tu: 11-3, APM 6436

Viswanata Karlapati, email:, office hours: M4-5, T12-1, APM 6446

Computation of grade: homework: 20%, midterm: 30%, final 50%. The worst homework score will be dropped.

Dates of exams: No make-up exams!

Midterm: 11/9 in class

Course material: We will use the book "Nonlinear dynamics and chaos" by Steven Strogatz, 2nd edition

Homework assignments Unless further notice, homework is to be turned in Wednesdays by 5pm. There will be a drop box in the basement of APM.

Disclaimer: I will try to get the homework assignment on the net in time. Due to time and other limitations, this may not always be possible. The fact that there is no assignment posted for a particular date does therefore NOT necessarily mean that no homework is due.

for 9/28: 2.1.1, 2.1.2, 2.1.3, 2.2.3, 2.2.5, 2.4.4

for 10/5: Chapter 2: 2.3.4, 2.5.4, 2.6.2 (check that you can use the rule of substitution for the integral), 2.7.1, 2.7.4, Chapter 3: 3.1.1, 3.1.3

for 10/12: Chapter 3: 3.2.3, 3.2.4, 3.4.2, 3.4.3, 3.4.7, ("sketch vector field" here just means you should indicate on the x-axis whether we move to the left or to the right)

for 10/19: 3.4.11, 3.4.14, 3.5.6(without (e); for (a) assume x(t)=exp(at) and calculate a from the differential equation), 3.5.8, 3.6.2

for 10/26: 3.7.2 (for (b): hint: for which x reaches r its maximum?), 4.1.2, 4.1.5, 4.1.8, 4.2.3 (only first method), 4.3.2

for 11/2: 4.3.3, 5.1.1, 5.1.2, 5.2.1, 5.2.2 (see note below about general background)

Remarks to homework 3.2.2

for 11/16: 5.2.11, 5.2.12, 6.1.1, 6.1.3,

for 11/23: 6.2.1, 6.2.2, 6.3.2, 6.3.4, 6.3.11, 6.5.1, 6.5.3.

for 11/30: 6.6.1, 6.6.5, 6.6.7, 6.7.1, 6.7.2.

Solutions of selected homework problems:

first assignment

second assignment

third assignment

fourth assignment, corrected

fifth assignment

sixth assignment

seventh assignment

eighth assignment

ninth assignment

Midterm The midterm takes place on Wednesday, 11/9 in class. NO BOOKS, NO NOTES, NO CALCULATORS. See below for more detailed information about the material and preparation.

Office hours for exam week: M2-3, Tu:3-4, no office hour on Wednesday

No homework due on Wednesday. Practice problems for midterm (need not be turned in): 5.2.4, 5.2.7.

material for midterm

Final The rules for the final are the same as for the midterm. No books, no notes, no calculators. The final will be cumulative, with about the same number of problems taken from material before and after the midterm. A review guide is posted below.

Office hours: Tu: 3-4, W: 2-3 Ryan: M: 12-2, Tu: 12-2, Vis: Tu 1-3 and, if enough interest, review session ON MONDAY in APM B412 5:30-6:45.

material for final

Some solutions for midterm