| Professor: | Dr. Douglas Anderson |
| Ivers 234C | |
| 299-4453 (office), 236-7254 (home) | |
| andersod@cord.edu |
Office Hours: MTuWThF 3:30-4:30, or by appointment.
Text: Differential Equations, Second Edition (2002), by Paul Blanchard, Robert L. Devaney, and Glen R. Hall.
Prerequisite: Math 122 (Calculus II) or equivalent; Math 210 (Linear Algebra) is strongly encouraged.
Technology: In this course we will need to take advantage of the computer algebra system Mathematica, which is available in Ivers 217 and Ivers 222, and the CD-ROM accompanying the text. Be sure that you have a campus web account, and that the CD is in your book cover if you bought the book used.
Quizzes/Projects: Exercises will be assigned each day for your practice in mastering the material; these problems will be odd numbered so that you can check your answers in the book. Every Tuesday, Wednesday, and Thursday there will be a quiz at the beginning of the period over the essential material from the day before. On Fridays, after the exams, there will be a project assigned from the end of the chapter in the book, for you to work on in teams over the weekend. Projects that are turned in should be neat and organized. You will not only be graded on correct answers but also on the neatness and organization of your presentation, a clear explanation of the steps used to derive your answers, and the use of correct grammar and complete sentences. All students must abide by the college's expectations regarding academic integrity.
Exams: Attendance is required for all exams. If you should miss an exam for an emergency you will be allowed to make it up only if you have notified me before the exam and it must be made up in a timely manner (to be discussed with me individually). There is an exam scheduled for every Friday of the four-week period. These will all be unit exams covering the sections listed; there will be no final exam.
| Quizzes Projects (3) Exam 1 Exam 2 Exam 3 Exam 4 |
150 |
Every Tues, Wed, Thurs |
| Date | Scheduled Section | Suggested Exercises |
| May 13 | 1.1 Modeling via DEs | (14) 1*,3*,9,11,13*,17,19,21 (*CD: HPG Solver) |
| 1.2 Sep of Variables | (33) 1,3,5,7,11,15,17,19,27,29,31,35,37,39 | |
| Mathematica Lab | 3:45-5, Ivers 217 | |
| 14 | 1.3 Slope Fields | (48) 3,5,7-10(incl straight-line sol's),14,15,17,19 |
| 1.4 Euler's Method | (63) 3,5,13,15,19 (CD: Euler's Method) | |
| 15 | 1.5 Existence/Uniqueness | (73) 1-17 odd |
| 1.6 Equilibria | (91) 1,3,5,13,15,17,23,25,29,31,33,35,37,39,43 | |
| 16 | 1.7 Bifurcation | (107) 1,3,5,7,11,13,15,21 |
| 1.8 Linear DEs | (121) 1,3,7,9,13,15,23,27,29 | |
| 17 | Exam 1 | 1.1~1.8 |
| Project 1 | (140) LAB 1.3 (due Monday, May 20) | |
| May 20 | 2.1 Modeling via Systems | (160) 1,3,5,7,15,17,19,25,27 |
| 2.2 Geometry of Systems | (178) 3,5,7,9,11,13,15,17,19,21 | |
| 21 | 3.1 Linear Systems | (244) 5,9,11,13,15,17,25,29,31,33 |
| 3.2 Straight-Line Sols | (263) 1-17 odd,21,25 (CD: HPG System Solver) | |
| 22 | 3.3 Real Eigenvalues | (279) 1,3,9,11,13,19,21,27 |
| 3.4 Complex Eigenvalues | (296) 3-15 odd,21,23 | |
| 23 | 3.5 Other Eigenvalues | (313) 1,3,5,7,9,11,15,17,19 |
| 3.7 Trace-Determinant | (344) 3,5,7,9,11 (CD: TDPlaneAnimation) | |
| 24 | Exam 2 | 2.1~3.7 |
| Project 2 | (217) LAB 2.2 (due Tuesday, May 28) | |
| May 27 | MEMORIAL DAY | NO CLASS |
| 28 | 3.6 Harmonic Oscillator | (329) 13-27 odd,31,35 (CD: Mass Spring) |
| 4.1 Forced Oscillators | (381) 1,5,9,11,15,17,25,31,37,41 | |
| 29 | 4.2 Sinusoidal Forcing | (394) 3,5,9,11,17,19,21 |
| 4.3 Undamped Forcing | (406) 1,7,9,11,15,17,20-23,25 | |
| 30 | 5.1 Nonlinear Systems | (452) 1,3,7,9,11,17,23,25 |
| 5.2 System Analysis | (467) 1,3,5,7,9,13,21,23 | |
| 31 | Exam 3 | 3.6~5.2 |
| Project 3 | LAB 3 Handout (due Monday, June 3) | |
| June 3 | 6.1 Laplace Transforms | (553) 1,3,9,13,15,17,23 |
| 6.2 Discontinuous Forcing | (561) 1,3,5,9,11,15,17,19 | |
| 4 | 6.3 Harmonic Oscillator | (575) 11,13,15,17,31,32,33 |
| 6.4 Impulse Forcing | (584) 3,5,7,9 | |
| 5 | 8.1 Discrete Logistic Equation | (659) 1-17 odd,25,27,37 |
| 8.2 Fixed/Periodic Points | (668) 1-21 odd, 27 | |
| 6 | 8.3 Bifurcations | (678) 1,3,5,7 |
| 8.4 Chaos | Computer Lab | |
| 7 | Exam 4 | 6.1~8.4 |