Text: Devaney, Hirsch, Smale Differential equations, dynamical systems, an introduction to chaos.  
Alternative books on reserve: Arrowsmith & Place Dynamical Systems, Strogatz Nonlinear dynamics and chaos,
Advanced books: Perko Differential equations and dynamical systems, Arnold Ordinary differential equations.
Basic books: Boyce & DiPrima Elementary differential equations, Blanchard, Devaney & Hall, Diff. eqns.
Lectures MWF 3-4 Centr 201 Instr Hans Lindblad lindblad@math.ucsd.edu Office hour MW 4-4.30 Mandeville cafe
Syllabus Ch 8-13 (from where 130A left off) Ch 7-10 deals with basic questions about nonlinear systems of ordinary
differential equations e.g. stability. 11-13 deal with applications to biological systems, electric circuits and mechanics
Preliminary schedule. Since class is small there will be no TA. Instead Fridays lecture will be a problem session.

wk	date	Monday	Wednesday	Friday
1	3/30	3 Planar Systems-Phase Portrait	4.2 Dynamical Classification	4.2, Problem set 1
2	4/6	4.2, 7.4 The Variational Equation	8.1 Nonlinear systems	8.1, Problem set 2
3	4/13	8.2 Sinks, sources 8.3 Saddles	8.4 Stability 8.5 Bifurcations	Problemset 3
4	4/20	9.1 Nullclines 2.13 Normal Forms	9.2 Liapunov Stability	Problemset 4
5	4/27	9.2, 9.3 Gradient Flows	9.3, 9.4 Hamiltonian Flows	Problemset 5
6	5/4	10.1-2 Limit sets-Poincare map	10.4-6 Poincare-Bendixson	Problemset 6
7	5/11	Practice midterm  Solutions	Midterm	11.1 Biology-Infectious diseases
8	5/18	11.2 Predator/Prey Systems	11.2-3 Competitive species	Problemset 7
9	5/25	Holiday	12.1-2 Electric circuit-Linenard eq	12.3 van der Pol eq., Problemset 8
10	6/1	13.1-3 Mechanics-Newtonian	13.4-6 Central force systems	Problemset 8, 9
11	6/8	Review Tuesday 1-3 APM 5829	Final 3-6pm	No class

2.13 Normal forms is from Perko Differential equations and dynamical systems.
See 130B Spring 03 (130A Winter 03) and 130B Spring 06 (130A Winter 06) for syllabus, lecture notes, homework
solutions and practice exams from previous years. Practice midterm and solutions available for download below.

wk	date	Homework (tentative)	Solutions
1	4/3	4: 4, 5, 6, 7,
2	4/10	8: 1, 2,
3	4/17	8: 3, 4, 5, 7, 9, 10, 11,
4	4/24	9: 1cde, 2, 3, 4a,
5	5/1	9: 4b, 6, 7abce, 8bcd, 9, 10, 11, 16,
6	5/8	10: 1, 2, 3, 4, 5, 6, 7, 8, 10,
7	5/15	Practice midterm	Solutions
8	5/22	11: 2, 3, 4, 5, 7,
9	5/29	12: 1, 5,
10	6/5	13: 3, 4.  Practice final	Solutions

Exams One midterm in class, a final Wed June 10, 3-6pm. Grade Midterm 40%, final 60%.
Midterm will cover Ch 8-10. A similar practice exam will be posted by 5/10. We will go over it in class 5/11.
You are allowed to bring one sheet of formulas to the exam.
You can improve your grade by handing in (before the final) one of the Explorations in the end of the chapters.