Winter 2005 Math 334
What, When, and Where:
Course Description:
Ordinary Differential Equations: Methods and theory of ordinary differential equations.
Text:
Title: Elementary Differential Equations (8th Edition)
Author(s): Boyce and DiPrima
Chapters Covred: 1-9
Lectures:
MWF 8:00-8:50 136 TMCB
Office Hours:
MWF 10:00-10:50 306 TMCB (except Friday, which is at the Math Lab)
Grading Scheme:
25% Homework Assignments
45% Three Midterm Exams (%15 each)
30% Final Exam
Course Schedule: (subject to change)
Jan 05 Introduction and Overview
Jan 07 First-Order Linear ODE (Chapter 2.1)
Jan 10 Separable Equations (Chapter 2.2)
Jan 12 Applications and Modeling (Chapter 2.3)
Jan 14 Exact equations (Chapter 2.6)
Jan 19 2nd-order Linear I (Chapter 3.1)
Jan 21 2nd-order Linear II (Chapter 3.1 and 3.2)
Jan 24 Wronskian and Complex Roots (Chapter 3.3-3.4)
Jan 26 Repeated Roots (Chapter 3.5)
Jan 28 Exam Review
Jan 31 Method of Undetermined Coefficients (Chapter 3.6)
Feb 02 Variation of Parameters (Chapter 3.7)
Feb 04 Vibrations (Chapter 3.8)
Feb 07 Forced Vibrations (Chapter 3.9)
Feb 09 Higher-order Linear Systems (Chapter 4)
Feb 11 Power Series Review (Chapter 5.1)
Feb 14 Power Series Solutons (Chapter 5.2)
Feb 16 More Power Series Solutions (Chapter 5.3-5.4)
Feb 18 Review for Exam II
Feb 21 Euler Equations (Chapter 5.5)
Feb 23 Laplace Transforms (Chapter 6.1)
Feb 25 More Laplace Transforms (Chapter 6.2)
Feb 28 Linear Systems (Chapter 7.1)
Mar 02 Eigenvalues (Chapter 7.3 and 7.6)
Mar 04 Eigenvectors and Diagonalization (Chapter 7.3)
Mar 07 Matrix Exponentiation
Mar 09 Solving Linear Systems (Chapter 7.6)
Mar 11 Repeated Roots and Fundamental Matrices (Chapter 7.7 and 7.8)
Mar 14 Duhamel's Method
Mar 16 Exam III Review
Mar 18 Euler's Method (Chapter 8.1)
Mar 21 Introduction to Matlab (Meet in TMCB 149)
Mar 23 Euler's Method, Projects
Mar 25 ODE45 package, Projects
Mar 28 Simple Harmonic Motion
Mar 30 Damped and Forced Oscillators
Apr 01 Restricted Two-Body Problem
Apr 04 Two-Body Problem
Apr 06 Three-Body Problem
Apr 08 Projects
Apr 11 Review
Apr 13 Review
Assignments:
Assignment #1 (Due 01/12/05)
1.1 #15-20
1.2 #8,9,19
1.3 #1-14
Assignment #2 (Due 01/17/05)
2.1 #13-20
2.2 #9-20 (just solve the initial-value problem)
2.3 #1-10
Assignment #3 (Due 01/24/05)
2.4 #25,27-31
2.5 #18
2.6# 1-12,25-27
Assignment #4 (Due 01/28/05)
3.1 #1-16,23,24
Assignment #5 (Due 02/09/05)
3.6 #1-18
Assignment #6 (Due 02/16/05)
3.8 #11,26
3.9 #11
4.2# 11-16
4.3# 1-4
Assignment #7 (Due 02/23/05)
5.1 #1-16
5.2 #1-14 (recurrence relation only)
Assignment #8 (Due 03/04/05)
6.2 #11-23
Assignment #9 (Due 03/11/05)
7.5 #9-18
Assignment #10 (Due 03/18/05)
7.9 #1-12
Assignment #11 (TBA)
Project Ideas
Matlab File for Restricted Two Body Problem
Matlab File for Two Body Problem
Matlab File for Harmonic Oscillator