Math 119A
Winter Quarter 2016
Instructor: 
Professor Bob Guy 


Textbook: 
Nonlinear Dynamics and Chaos, Steven H. Strogatz, 1994. 


Webpage: 
http://www.math.ucdavis.edu/~guy/teaching/119a/ 


Class: 
MWF 1:102:00 PM in Wellman 6 


TA: 
Carter Johnson 
Announcements
Week 
Monday 
Wednesday 
Friday 
1 
1/4 – Introduction HW: P1P3 problem set 
1/6  Continue introduction Homework groups: by name, by group number 
1/8  Chapters 2.02.2 HW: 2.2  2, 3, 4, 7, 8, 9, 10, 13ac 
2 
1/11  Chapter 2.4 HW: 2.4  1, 2, 4, 5, 7, 9 
1/13  Chapter 2.3 HW: 2.3  3, 4, 5, P4 problem set Homework problems to turn in Friday 
1/15  Chapter 2.5 HW: 2.5  3, 4, 6 
3 
1/18  MLK day, no class 
1/20  more existence and uniqueness; Picard
iteration HW: 2.6 1, 2; P5, P6 problem set Homework problems to turn in Friday 
1/22  introduce bifurcations, begin 3.1 and
3.2 HW: P7 problem set 
4 
1/25  3.1 and 3.2 HW: 3.1  1, 2, 3; 3.2  1, 2, 3 
1/27  3.4 HW: 3.4  2, 4, 5, 6, 7, 14 Homework problems to turn in Friday 
1/29  3.5 bead on hoop example HW: 3.5  1, 2, 3, 4 
5 
2/1  3.6 HW: 3.6  1, 2, 3, 4 
2/3  3.7 HW: 3.7  3, 4ab, 5 Homework problems to turn in Friday 
2/5  Nondimensionalization HW: 3.5  5, 6, 7, 8 
6 
2/8  Guest Lecture by Sam Walcott 
2/10  Intro to multidimensional systems 
2/12  Midterm 
7 
2/15  President's day, no
class 
2/17  5.1 and begin 5.2 HW: 5.1  1, 38, 9abc Homework problems to turn in Friday 
2/19  5.2 HW: 5.2  111 
8 
2/22  finish 5.2 
2/24  matrix exponential HW: P810 problem set Homework problems to turn in Friday 
2/26  6.1 HW: 1, 2, 3, 7, 8, 12, 14 Also use pplane software: java version, matlab version 
9 
2/29  6.3 HW: 6.2  2 6.3  1, 2, 6, 10, 11, 13, 15 
3/2  6.4 HW: 6.4  5, 6 Homework problems to turn in Friday 
3/4  finish 6.4, begin 6.5 HW: 6.5  2, 4, 7, 13, 19 (see hint in 6c) 
10 
3/7  6.5 Continued 
3/9  Lyapunov functions (part of 7.2) HW: 7.2  10, 11, 12 Homework problems to turn in Friday 
3/11  7.1 and start 7.3 HW: 7.1  1, 2, 3 7.3  1, 2, 3, 4, 8 
11 
3/14  Last day of class 