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.
The following abbreviations will be used:
Book Ordinary
Differential Equations by Polking, Boggess & Arnold
Manual
Ordinary Differential Equations using MATLAB by Arnold &
Polking
January 12--16 Homework #1 NOT Due |
Introduction to ODEs Plotting in MATLAB ODEs and their solutions |
January 19--23 Homework #2 Due Friday, Jan 23. |
Solutions to separable equations Models of motion Linear equations Adminsitrative note: The deadline for adding a course without fee is Friday, January 23. |
January 26--30 Homework #3 Due Friday, Jan 30. |
Mixing problems Existence and Uniqueness Dependence on initial conditions |
February 2--6 Homework #4 Due Friday, Feb 6. |
Autonomous equations and stability Modeling Administrative note: The deadline for late registration, for dropping a course without fee, or for adding a course is Friday, February 6, at 5:00 PM. |
February 9--13 Homework #5 Due Friday, Feb 13. |
Numerical methods - Euler's method Runge-Kutta methods ODE45 The first exam will be Tuesday, February 17, at 8:00 AM in HZ AMP. There will be a review session Sunday evening, Feb 15, at 7:00 PM in DH 1070. |
February 16--20 Homework #6 Due Friday, Feb 20. |
Matrix algebra; vectors and matrices in MATLAB Systems of linear equations Solving systems of linear equations The first exam is Tuesday, February 17, at 8:00 AM in HZ AMP. |
February 23-27 Homework #7 Due Friday, Feb 27. |
Properties of solution spaces Subspaces and nullspaces Determinants |
March 1--5 |
Spring Break |
March 8--12 Homework #8 Due Friday, March 12. |
Introduction to systems Geometric interpretation of solutions Qualitative analysis |
March 15--19 Homework #9 Due Friday, March 19. |
Linear systems of ODEs Eigenvalues, eigenvectors, and solutions of systems Planar systems of ODEs Phase plane portraits |
March 22--26 Homework #10 Due Friday, March 26. |
Higher dimensional systems The exponential of a matrix Qualitative analysis of linear systems The second exam will be Tuesday, March 30, at 8:00 AM in HZ AMP. There will be a review session Sunday evening, March 28, at 7:00 PM in DH 1070. |
March 29--April 2 Homework #11 Due Friday, April 2. |
Higher order linear equations 2nd order equations Vibrating springs The second exam is Tuesday, March 30., at 8:00 AM in HZ AMP. Administrative note: The deadline for dropping a course and changing course status to Pass/Fail is Monday, March 29. |
April 5--9 Homework #12 Due Friday, April 9. |
Inhomogeneous systems and equations Undetermined coefficients |
Apr 12--16 Homework #13 Due Wednesday, April 21. |
Forced harmonic oscillators, forcing and resonance The linearization of nonlinear systems Long term behavior of nonlinear systems The final exam in Math 211 is self-scheduled. Self scheduling of final exams takes place this week, from Monday to Friday. |
April 19--23 No HW this week. |
Invariant sets and the use of nullclines Long term behavior of planar systems Administrative note: Friday, April 23. is the last day of class. This is also the last day for first year students to drop a class. The final exam is self-scheduled. Project is due on the last day of exams, Wednesday, May 5. |