Math 119A
  Winter Quarter 2016

Instructor:
   Office:
   Email:
   Phone:
   Office Hours:

Professor Bob Guy
MSB 2136
guy@math.ucdavis.edu
754-9201
Monday 2:15-3:00
Thursday 11:30-1:00



Textbook:

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



Webpage:

http://www.math.ucdavis.edu/~guy/teaching/119a/
Homework and announcements will be posted here.



Class:

MWF 1:10-2:00 PM in Wellman 6



TA:
   Office:
   Email:
   Office Hours:

Carter Johnson
MSB 2117
caljohnson@ucdavis.edu
Thursday 4-5

Syllabus


Announcements



Schedule
Week
Monday
Wednesday
Friday
1
1/4 – Introduction
HW: P1-P3 problem set
1/6 - Continue introduction
Homework groups: by name, by group number
1/8 - Chapters 2.0-2.2
HW: 2.2 - 2, 3, 4, 7, 8, 9, 10, 13a-c
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, 3-8, 9abc
Homework problems to turn in Friday
2/19 - 5.2
HW: 5.2 - 1-11
8
2/22 - finish 5.2

2/24 - matrix exponential
HW: P8-10 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