Time and Place: MWF 2:30-3:20 p.m. in HES 004A
Professor: Igor E. Pritsker
Office: MS 524
Office Hours: MWF 11:30-12:30 p.m.
Phone: 744-8220
E-mail: igor@math.okstate.edu
Web: http://www.math.okstate.edu/~igor/
Textbook: Elementary Differential Equations and Boundary Value
Problems, by W. E. Boyce and R. C. DiPrima, John Wiley & Sons, 8th Ed.
Grading: There will be two semester tests and the Final Exam. The break up of your course grade is as follows:
| Test 1 | 25% | |
| Test 2 | 30% | |
| Final Exam | 35% | |
| Quizzes | 10% |
| A | 90-100 | |
| B | 80-89 | |
| C | 70-79 | |
| D | 60-69 | |
| F | 59 and lower |
Quizzes: Be prepared for short quizzes (1-2 problems, about 10 minutes).
Homework will be assigned on a daily basis (see the schedule) and may be collected periodically. It is required that you complete all homework.
Make-up Exams are given only in cases of serious illness, family death, etc. Contact me immediately if you need to arrange for a make-up.
Technology: You will find that mathematical software is very useful for visualization and computations in this course. Any of the following packages is sufficient for our purposes: MATLAB, Maple, or Mathematica.
MATLAB programs by John Polking
| Chapter 7 | Test 1 | Chapter 8 | Chapter 9 | Test 2 | Chapter 10 | Chapter 11 | Final Exam |
Note: The homework problems below are to be assumed odd numbered, unless it is indicated otherwise.
| Week | Date | Sec | Page | Topic | Homework |
|---|---|---|---|---|---|
| 1 | M, Aug 17 | 7.1 | 355 | Introduction | 3, 9-15, 21 |
| W, Aug 19 | 7.2 | 364 | Review of matrices | 9, 17, 21, 23, 25 | |
| F, Aug 21 | 7.3 | 374 | Systems of linear algebraic equations | 3-9, 13, 17-21 | |
| 2 | M, Aug 24 | 7.4 | 385 | Systems of first order linear equations | 1-7 |
| W, Aug 26 | 7.5 | 390 | Homogeneous linear systems with constant coefficients | 3-11, 15-17 | |
| F, Aug 28 | 7.6 | 401 | Complex eigenvalues | 3-9, 13-15 | |
| 3 | M, Aug 31 | 7.7 | 414 | Fundamental matrices | 3-13 |
| W, Sep 2 | 7.8 | 422 | Repeated eigenvalues | 3-9, 11, 15 | |
| F, Sep 4 | 7.9 | 431 | Nonhomogeneous linear systems | 1-7 | |
| 4 | M, Sep 7 | Labor Day | |||
| W, Sep 9 | 7.9 | 431 | Nonhomogeneous linear systems | 9-15 | |
| F, Sep 11 | Review | ||||
| 5 | M, Sep 14 | Test 1 | |||
| W, Sep 16 | 8.1 | 441 | The Euler method | 1-9, 17-21 | |
| F, Sep 18 | 8.2 | 452 | Improvements on the Euler method | 1-11 | |
| 6 | M, Sep 21 | 8.3 | 457 | The Runge-Kutta method | 1-11 |
| W, Sep 23 | 8.4 | 462 | Multistep methods | 1-9 | |
| F, Sep 25 | 8.6 | 478 | Systems of first order equations | 1-7 | |
| 7 | M, Sep 28 | 9.1 | 483 | The phase plane: Linear systems | 3-15 |
| W, Sep 30 | 9.2 | 495 | Autonomous systems and stability | 7-21 | |
| F, Oct 2 | 9.3 | 503 | Almost linear systems | 1-11 | |
| 8 | M, Oct 5 | 9.4 | 515 | Competing species | 1-11 |
| W, Oct 7 | 9.5 | 528 | Predator-prey equations | 1-9 | |
| F, Oct 9 | Fall Break | ||||
| 9 | M, Oct 12 | 9.6 | 536 | Liapunov's second method | 1, 2, 3, 4 |
| W, Oct 14 | 9.6 | 536 | Liapunov's second method | 5, 6, 7 | |
| F, Oct 16 | Review | ||||
| 10 | M, Oct 19 | Test 2 | |||
| W, Oct 21 | 9.7 | 547 | Periodic solutions and limit cycles | 1, 2, 3, 4 | |
| F, Oct 23 | 9.7 | 547 | Periodic solutions and limit cycles | 5, 6, 7, 8 | |
| 11 | M, Oct 26 | 9.8 | 558 | Chaos and strange attractors | 1, 2, 3, 4 |
| W, Oct 28 | 10.1 | 569 | Two-point boundary value problems | 5-17 | |
| F, Oct 30 | 10.2 | 576 | Fourier series | 7-15, 19-23 | |
| 12 | M, Nov 2 | 10.3 | 587 | The Fourier convergence theorem | 1-9, 13, 17 |
| W, Nov 4 | 10.4 | 594 | Even and odd functions | 13, 19-27, 35 | |
| F, Nov 6 | 10.5 | 603 | Separation of variables; Heat conduction in a rod | 3-11, 18 | |
| 13 | M, Nov 9 | 10.6 | 612 | Other heat conduction problems | 3-11 |
| W, Nov 11 | 10.7 | 623 | The wave equation | 1, 2, 3, 4, 9, 10 | |
| F, Nov 13 | 10.8 | 638 | Laplace's equation | 1, 2, 3, 4, 8, 10 | |
| 14 | M, Nov 16 | 11.1 | 657 | Two-point boundary value problems | 1-15 |
| W, Nov 18 | 11.2 | 665 | Sturm-Liouville boundary value problems | 1-9 | |
| F, Nov 20 | 11.3 | 679 | Nonhomogeneous boundary value problems | 1-7 | |
| 15 | M, Nov 23 | 11.3 | 679 | Nonhomogeneous boundary value problems | 9-13 |
| W, Nov 25 | Thanksgiving Holidays | ||||
| F, Nov 27 | Thanksgiving Holidays | ||||
| 16 | M, Nov 30 | 11.4 | 695 | Singular Sturm-Liouville problems | 1-5 |
| W, Dec 2 | Final Review | F, Dec 4 | Final Review | ||
| 17 | F, Dec 11 | Final Exam (HES 004A, 2:00-3:50 p.m.) | |||