| Professor: | Dr. Doug Anderson |
| Ivers 234G | |
| 299-4453 (office), 299-4151 (math department) | |
| e-mail: andersod@cord.edu |
Office Hours: MWF 2:35-3:35; Tuesday 10:30-12, 1-3:00; Thursday 1-4; other times by discovery.
Goals: This course aims to introduce elementary qualitative and analytic methods for analyzing ordinary differential equations (odes). These methods include separation of variables, integrating factors, characteristic equations, series solutions, and the Laplace transform for first and higher-order odes and mathematical models such as spring/mass systems (harmonic oscillators) and logistic growth.
Text/Mathematica: Differential Equations with Boundary Value Problems, 5th edition, by Zill and Cullen, ISBN 0-534-38002-6. We will also be using Mathematica, a computer algebra system. Mathematica 5.0 is available on the campus network, and can be downloaded onto the personal computer of any Concordia student free of charge.
Prerequisite: Math 122 (Calculus II) or equivalent; Math 210 (Linear Algebra) is strongly encouraged.
Homework/Projects: Homework will be assigned each day for your practice in mastering the
material. Homework that is turned in should be neat and organized. You will not only be
graded on correct answers but also on the neatness, organization, 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 and quality. Even-numbered problems with be due the second
class period after they are assigned. Up to four (4) late assignments will be allowed, but no more than four.
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,
which must be made up in a timely manner (to be discussed with me individually).
|
Homework, Labs Exam I Exam II Exam III Final Exam |
150 |
Every class |
|
A A- B+ B B- C+ |
601-650 |
C C- D+ D D- F |
471-496 |
| Date | Section | Exercises |
| Sep 3 | 1.1 Intro to ODEs | (11) 11,12,15,17,18,23,25,26,40,46 |
| 5 | Mathematica Lab | Sunday 6pm-8pm, Ivers 222 |
| 6 | 2.2 Separable Variables | (57) 4,7,13,16,25,30,32,37,38 |
| 8 | 2.3 Linear Equations | (69) 3,4,11,14,17,18,33,34,50 |
| 10 | 2.4 Exact Equations | (78) 1,4*,6,8*,11,21,24*,42(b) |
| 13 | 2.6 Euler's Method | (91) 1,2,7,8,14; (416) 12 |
| 15 | 3.1 Linear Models | (103) 1,2,7,8,13,14,19,20,38 |
| 17 | Bifurcation Diagrams | Handout |
| 20 | Lab 1 | Handout |
| 22 | 4.1 Linear Equations: Theory | (151) 5,6,9,10*,23,24,26*,28 |
| 24 | 4.3 Constant Coefficients | (164) 7,13,17,19,37,39,49 |
| 27 | Review | (92) 1,6,12,13,15,18,19,22; (131) 4,5 |
| 29 | EXAM I | |
| Oct 1 | 4.4 Undetermined Coefficients | (176) 1,2,4,5,8,9,12,17,27,34 |
| 4 | 4.6 Variation of Parameters | (192) 1,4,8,12,19,20 |
| 6 | 4.7 Cauchy-Euler Equation | (199) Case(ii),1,2,3,12,14*,19,20 |
| 8 | 4.9 Nonlinear Equations | (211) 3,4,10,14,18 |
| 11 | 5.1.1 Free Motion | (229) 1,2,9,10,17-20,22 |
| 13 | 5.1.3 Sinusoidal Forcing | (233) 29,30,35(read),36 |
| 15 | 5.1.3 Undamped Forcing | Beats and Resonance Handout |
| 18 | 5.2 Boundary-Value Problems | (243) 15,21,25 |
| 20 | Lab 2 | Handout |
| 22 | Fall Break | No Class |
| 25 | 5.3 Nonlinear Pendulum | (254) read 24 |
| 27 | EXAM II | Take-home test |
| 29 | Exam due at 4 pm | |
| Nov 1 | Fall Symposium | No Class |
| 3 | 6.1 Ordinary Points | (279) 13,16,22,28 |
| 5 | Nebraska Workshop | No Class |
| 8 | 6.2 Singular Points | (289) 1-6,24 |
| 10 | Legendre Polynomials | Handout |
| 12 | Hermite Polynomials | Handout |
| 15 | 7.1 Laplace Transform | (312) 3,4,7,8,12,18,34 |
| 17 | 7.2 Inverse Transform | (322) 1,3,6,8,35,36,38 |
| 19 | 7.3 Translation Theorems | (333) 3,9,13,16,27,28,41,46,47,49-54,66,67 |
| 22 | 7.4 Additional Properties | (347) 1,3,9,13,17,19,31,43 |
| 24 | 7.5 Dirac Delta Function | (354) 1,3,5,7 |
| 26 | Thanksgiving | No Class |
| 29 | EXAM III | Take-home test |
| Dec 1 | Exam due at 4 pm | |
| 3 | 11.1 Orthogonal Functions | (488) 11,15,17,21 |
| 6 | 11.2 Fourier Series | (494) 5,17 |
| 8 | 11.3 Cosine & Sine Series | (501) 11,13,37 |
| 10 | 11.4 Sturm-Liouville Problems | (510) 1,3,7 |
| 13 | No Class | |
| 17 | Final Exam Due | Friday 10:30 am |