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