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Mathematics 230

Introduction to Ordinary Differential Equations

Credits: 3

Length of Course: 14 weeks

Classrom Hours per Week:

Prerequisite: Mathematics 114, Mathematics 252 and 12 Credits

Text: Notes on Diffy Os: Differential Equations for Engineers. Jiri Lebl. Latest Ed.


Course Description:

An elementary course in differential equations, introducing techniques for solving first, second, and higher order linear differential equations, systems of ordinary differential equations and Laplace Transforms.


Course Outline:

Length Description

Week 1

Introduction

First order ODEs: Integrals as solutions, Slope fields, Separable equations

Week 2

First order ODEs: Linear equations and the integrating factor, Substitution

Week 3

First order ODEs: Autonomous equations, Numerical methods: Euler’s method

Week 4

Higher order linear ODEs: Second order linear ODEs, Constant coefficient second order linear ODEs

Week 5

Higher order linear ODEs: Higher order linear ODEs, Mechanical vibrations

Week 6

Higher order linear ODEs: Nonhomogeneous equations

Week 7

Systems of ODEs: Introduction to systems of ODEs, Matrices and linear systems

Week 8

Systems of ODEs: Linear systems of ODEs , Eigenvalue method

Week 9

Systems of ODEs: Multiple eigenvalues, Matrix exponentials

Week 10

Systems of ODEs: Nonhomogeneous systems

Week 11

The Laplace transform: The transform, Transforms of derivatives and ODEs

Week 12

The Laplace transform: Convolution

Week 13

Review

Week 14

Final Exam

Evaluation:

Quizzes and Homework 10-20%
Midterm Exam(s) 30-40%
Final Exam 50%

Instructors

Arman Ahmadieh B.Sc., M.Sc. (Sharif University of Technology)
Hayri Ardal, B.Sc.(Bogazici), Ph.D.(Simon Fraser)
Kim Peu Chew, B.Sc. (Nanjing), M.A., Ph.D. (British Columbia)
Ana Culibrk, B.Sc.,M.Sc. (Belgrade),M.Sc.(British Columbia)
Rika Dong, B.Sc. (Simon Fraser), M.Sc. (Regina)
Sam Ekambaram, B.Sc., M.Sc. (Madras), M.Sc., Ph.D. (Simon Fraser)
Himadri Ganguli, B.Sc., M.Sc. (Chennai), Ph.D. (Simon Fraser)
Peter Hurthig, B.Sc., M.Sc. (British Columbia)


Transferability: see www.bctransferguide.ca