Math 290 Differential Equations

 Homework asignments Homework 1 - due 1/23 - Solutions Homework 2 - due 2/1 - Solutions Homework 3 - due 2/13 - Matlab Plotting Tutorial - Solutions Homework 4 - due 2/20 - Solutions Homework 5 - due 2/27 - Solutions Homework 6 - due 3/14 - Solutions Homework 7 - due 3/21 - Quick reference for solving linear planar systems - Solutions Extra Credit for exam 1 - due 3/26 Homework 8 (Note that there was a mistake in the first posted version. Please do Problem 11 from 10.3, not from 10.4. This is on page 481). - due 4/4 - Solutions Homework 9 - due 4/11 - Solutions

 Lecture and Exam Schedule Jan 4: Introduction to modeling with differential equations. Jan 9: Separable and linear homogeneous equations. Jan 11: Linear inhomogeneous equations. Phase lines. Jan 16: MLK Holiday. Jan 18: Modeling. Phase lines. Direction fields (using dfield). Jan 23: Second order equations. Intro to harmonic motion. Jan 25: Linear second order equations (inhomogeneous, homogeneous, and homogeneous with constant coefficients). Jan 30: Harmonic motion revisited. Undetermined coefficients. Feb 1: Undetermined coefficients. Feb 6: Undetermined coefficients. Plotting in Matlab. Variation of parameters. Feb 8: Variation of parameters. Feb 13: Laplace Transforms Feb 15: Laplace Transforms Feb 20: Laplace Transforms Feb 22: Review for Exam 1 Feb 27: Exam 1 - Cheat sheet that will be provided with exam Feb 29: A crash course on linear algebra in two dimensions. March 12: Linear planar systems. March 14: Linear planar systems. March 19: Linear planar systems: phase plane analysis and classification of solutions. March 21: Linear planar systems. Intro to nonlinear planar systems. March 26: Trace-determinant plane. Generic solution types. Linearization and classification of fixed points for nonlinear planar systems. March 28: Global analysis of nonlinear planar systems: nullclines. April 2: Global analysis of nonlinear planar systems: invariant sets and separatrices. April 4: Limit cycles and the Poincare-Bendixson theorem. I will also give a list of topics to be covered on Exam 2. April 9: Review for Exam 2. Mechanics, Conservative systems. April 11: Exam 2 April 16: Brief review for final exam. Brief introduction to 3D systems and chaos. April 18: Final Exam