Differential Equations and Dynamical Systems

4 credits

An introduction to ordinary differential equations from the dynamical systems perspective. Topics include flows on lines and circles, two-dimensional linear systems and phase portraits, nonlinear planar systems, index theory, limit cycles, bifurcation theory, applications to biology, physics, and electrical engineering. Formerly MATH 130A. (Students may not receive credit for MATH 130 and MATH 130A.) Prerequisites: MATH 18 or MATH 20F or MATH 31AH and MATH 20D. Students who have not completed listed prerequisites may enroll with consent of instructor.