Math 118: Theory of Differential Equations

Instructor: Xiaolong Li

Lectures: MWF 10:00 am to 10:50 am in AIRB 1030

Office Hours: MWF 11:00 am to 11:50 am, in Rowland Hall 510W

Email: xiaolol1@uci.edu

TA: Chao-Ming Lin

Discussions: TuTh 10:00 am to 10:50 am in PSCB 230

Office Hours: MW 3:00 - 5:00 pm in Rowland Hall 250A

Email: chaominl@uci.edu

Course Information

Textbook: The qualitative theory of ordinary differential equations — An introduction, by Fred Brauer and John A. Nohel

Material Covered: Chapters 1 to 4


Grading Policy

Final Exam (50%)

Monday, December 9, 2019, from 10:30 am to 12:30 pm (Room will be announced later.)


Midterms: (30% Each)

Monday, November 4, 2019, in class


Homework: (20%) Collected in Tuesday's discussion section

Homework 1: (Due Oct 8)

Section 1.3 Exercises 2, 5, 13Section 1.4 Exercise 2, 6, 10, 11Section 1.6 Exercise 10, 13, 16, 18Section 1.7 Exercise 1. 2, 3, 4

Homework 2: (Due Oct 15)

Section 2.1 Exercises 2, 6, 7, 8Section 2.2 Exercises 1, 2, 3, 4Section 2.3 Exercises 3, 16, 19, 24, 26, 28

Homework 3: (Due Oct 22)

Section 2.4 Exercises 3, 4, 6Section 2.5 Exercises 3, 4, 6, 7, 9, 10, 11(a)(b), 12, 14, 15, 17

Homework 4: (Due Oct 29)

Section 2.7 Exercised 2, 3, 5Section 2.8 Exercise 3, 9, 10, 19

Homework 5: (Due Nov 12)

Section 3.1 Exercise 2, 3, 7, 11, 12Section 3.2 Exercise 1, 3Section 3.3 Exercise 1, Section 3.4 Exercise 7, 9, 10, 11

Homework 6: (Due Nov 19)

Section 3.5 Exercise 1, 2On page 140, Exercise 5,7On page 141, Exerciese 9

Homework 7: (Due Nov 26)

Section 4.2 Exercises 3, 4(a)(b)(c), 9(b)(c)Section 4.3 Exercises 3, 10, 15, 17Section 4.4 Exercise 2

Homework 8: (Due Dec 5)

Section 4.5 Exercise 1, 2 3