Math 130A. Ordinary Differential Equations.

Math 130A. Oridnary Differential Equations
- Winter 2003 - Hans Lindblad

Meeting Times Texts Syllabus Homeworks Exams Practice Exams

Meeting Times

Lecture: MWF 4.00-4.50pm, in WLH 2205.
Discussion: Monday sections. Hand in your homework at your section.
Office Hours:
Instructor: Hans Lindblad: F 5.00-5.50 in Cafe' Roma ; lindblad@math.ucsd.edu
TA: Cayley Pendergrass M 2-3, Th 3-4 in APM 2250; cpenderg@math.ucsd.edu

Texts

Hirsch & Smale "Differential equations, dynamical systems, and linear algebra" Academic Press.

Alternative books on reserve in the library:
Perko "Differential equations and dynamical systems", Springer Verlag
Arrowsmith and Place "Dynamical Systems" CRCpress
Arnold "Ordinary Differential Equations" Springer Verlag
Strogatz "Nonlinear dynamics and Chaos" Westview Press
Boyce and DiPrima "Elementary differential equations" John Wiley
There is also a new version of the textbook:
Hirsh, Smale and Devaney "Differential Equations, Dynamical Systems, and an Introduction to Chaos"

Exams

Midterm Test will be given Febr 19 during class time.
Final Examination: Will be given Tuesday March 18, 3-6pm.

No calculators or notes will be allowed on the exams.

Practice Exams and Solution to some of the exams.

midw03p.pdf, finw03p.pdf ;

midw03ps.pdf,

Preliminary Syllabus

The first part of the course develops the theory for linear systems, Chapter 1-6.
The main simple examples are presented in Chapters 1 and 2.
Sections 3.1-3.2 is a review of Basic linear algebra covered in 20F
The midterm will cover Chapter 1-6
The next part of the course deals with stability theory, Chapters 7 and 9
The last part will deal with applications from Chapters 10, 12 or 14.
Chapter 10 is about Electrical Circuits, 12 is about Ecology and 14 is about Classical Mechanics.
      : Week 1 : 1.1-1.2, 2.1-2.3
      : Week 2 : 3.1-3.2
      : Week 3 : 3.3,3.4
      : Week 4 : 4.1-4.3,(5.1-5.2)5.3
      : Week 5 : 4.3, 5.4, 6.1
      : Week 6 : 6.1-6.5
      : Week 7 : 7.1
      : Week 8 : 7.2-7.3,9.1
      : Week 9 : 9.2-9.3
      : Week 10 : 9.4-9.5, 10.1-10.4
Please read text before lecture as it will help you understand the lecture better.

wk	date	Monday	Wednesday	Friday
1	1/6	1.1	1.1-1.2	2.1-2.3
2	1/13	3.1	3.1	3.2
3	1/20	Holiday	3.3	3.4
4	1/27	4.1-4.2	4.2-4.3	(5.1-5.2)5.3
5	2/3	4.3	5.4	6.1
6	2/10	6.1	6.2,6.3	6.4,6.5
7	2/17	Holiday	Exam	7.1
8	2/24	7.2-7.3	9.1	9.1
9	3/3	9.2	9.3	9.3
10	3/10	9.4-9.5	10.1-10.3	10.3-10.4

Homework Assignments(tentative)

HW #1 Due 1/13
1.1: #1bce, 2, 1.2: #1c, 2c, 6, 7, 8,

HW #2 Due 1/22
2: 1, 3, 4 , Supplementary problems for 3.1 and 3.2

HW #3 Due 1/27
3.3: #1cd, 2, 3, 6, 7cd, 3.4: #1cd, 2cd, 3, 5

HW #4 Due 2/3
4.1: 1,2, 4.2: 1ab, 4.3: 1ab, 5.3: 4b, 7, 9bcd, 10bcd

HW #5 Due 2/10
5.3: #9ef 5.4: 1bd, 2b, 9ab, 10ac, (11)

HW #6 Due 2/18
6.2: #1cdf, 4bcd, 13, 16, 6.3: #1bc, 6.4: 1a, 2cdf, 4, (7), 6.5: 1b, 5,

HW #7 Due 3/3
7.1: #1, 4, 7.2: # 2, 7.3: #1a, 2f, 3, 9.1 #2,3,4

HW #8 Due 3/10
9.2: #2, 4 9.3: #1-4,7,8

HW #9 Due 3/17
9.4: #1abf, 3b, 9.5: 1bc, 10.3: #1, 5 10.4: #1 10.5: #6 7.2: # 1bc,3

Grades

The grade will be calculated as follows: 20% homeworks 30% midterm and 50% final.

Math 130A. Oridnary Differential Equations - Winter 2003 - Hans Lindblad