Math 134: Linear and Nonlinear
Systems of Differential Equations
MWF 2:00pm, MS 5117


Professor Martin B. Short
CAM Assistant Adjunct Professor
UCLA Mathematics Department
Los Angeles, CA, USA 90095-1555

Office Math Sciences 7380
Office Hours T 4:00-5:00pm, R 3:00-5:00pm, or by appointment
E-Mail
Phone (310) 825-9369

TA:  Alden Waters
Discussion Section:  R 2:00pm, MS 5117
Course Summary:  Lecture, three hours; discussion, one hour. Requisites: courses 33B, 115A. Dynamical systems analysis of nonlinear systems of differential equations. One- and two- dimensional flows. Fixed points, limit cycles, and stability analysis. Bifurcations and normal forms. Elementary geometrical and topological results. Applications to problems in biology, chemistry, physics, and other fields. P/NP or letter grading.

Syllabus
Homework 1, due April 10:  2.2.1-2.2.7,  2.2.13 a-c,  2.3.3,  2.3.4,  2.4.1-2.4.7,  2.4.8,  2.5.3
Homework 2, due April 17:  2.7.1-2.7.7 (odd),  3.1.1-3.1.5 (odd),  3.2.5,  3.3.1 (a-c),  3.4.5-3.4.9 (odd),  3.4.11,  3.4.14
Homework 3, due April 24:  3.5.7,  3.6.2,  3.6.7,  3.7.3,  3.7.6
Homework 4, due May 2:  4.1.8,  4.3.1,  4.3.9,  4.4.4,  4.5.1
Homework 5, due May 8:  5.1.2,  5.1.9,  5.2.1,  5.2.2,  5.2.3,  5.2.5,  5.2.13,  5.3.2
Homework 6, due May 15:  6.1.1,  6.1.14,  6.2.2,  6.3.11,  6.5.6,  6.5.19,  6.6.7,  6.8.8
Homework 7, due May 29:  7.1.1,  7.1.8,  7.2.6,  7.2.12,  7.2.13,  7.3.1,  7.3.7
Homework 8, due June 5:  8.1.1,  8.1.12,  8.2.1,  8.2.8,  8.3.1,  8.4.2
Announcements
Exam 1 now scheduled for Friday, April 25, covering Chapters 1-3
Reminder: I will hold lecture during your regular discussion section time on May 1, and discussion section will be held during regular lecture time on May 2
Exam 2 now scheduled for Friday, May 23, covering Chapters 4-6