# Math 211 Schedule

For each week there will be a link to a page with a reading assignment and a homework assignment.

This schedule is tentative. It will get more accurate as the semester progresses. No week's topics should be taken as final until the homework is linked. Solutions to the homework assignments will be posted after the due date for each assignment.

The following abbreviations will be used:
Book Ordinary Differential Equations (second edition) by Polking, Boggess & Arnold
Manual Ordinary Differential Equations using MATLAB (third edition) by Arnold & Polking

 Week #1: August 28--September 1  Assignment #1 Solutions #1 Introduction to ODEs Plotting in MATLAB ODEs and their solutions Solutions to separable equations Week #2: September 4--8   Assignment #2 Solutions #2 (Textbook) (changes: each pb=10 points; pb 1/2.3 t=612244 s; pb 4/2.3 is ok if "a" is used instead of "a-g") Solutions #2 (Manual) Solutions to separable equations Models of motion Linear equations Week #3: September 11--15   Assignment #3 Solutions #3 Linear Equations Mixing problems Existence and Uniqueness Week #4: September 18--22 Uniqueness; Dependence on initial conditions Autonomous equations and stability Week #5: September 25--29   Assignment #4 Solutions #4 Modelling Numerical methods - Euler's method You can download dfield, pplane, odesolve, eul, rk2, rk4 from http://math.rice.edu/~dfield Week #6: October 2--6   Assignment #5 Solutions #5 Runge-Kutta methods; ODE45 Vectors and matrices Week #7: October 9--13 Solving systems of linear equations Properties of solution spaces Homogeneous and Inhomogeneous systems; nullspace Week #8 : October 16--20   Assignment #6 Solutions #6 Subspaces (base, span, linear dependence and independence) Determinants Week #9: October 23--October 27   Assignment #7 Solutions #7 Introduction to systems Geometric interpretation of solutions (pplane); Qualitative analysis Linear systems of ODEs; Solutions to systems You can download pplane from http://math.rice.edu/~dfield Week #10: October 30---November 3   Assignment #8 Solutions #8 Eigenvalues, eigenvectors, and solutions of systems Planar systems of ODEs; Phase plane portraits Week #11: November 6---November 10 The exponential of a matrix Higher order dimensional systems Week #12: November 13---17   Assignment #9 Solutions #9 Higher order linear equations Examples (planar systems and high linear equations) Week #13: November 20--24 Inhomogeneous systems and equations (Variation of parameters and Undetermined coefficients) Week #14: November 27--December 1   Assignment #9 continued Solutions #9 continued 2nd order equations; Vibrating springs (handout) Forced harmonic oscillators, forcing and resonance (handout) The linearization of nonlinear systems Week #15: December 4--8 Invariant sets and the use of nullclines Long term behavior of planar systems