top of page

COURSES

CONCORDIA UNIVERSITY
ENGR 213
Applied Ordinary Differential Equations

COURSE OUTLINE

Applied Ordinary Differential Equations

LECTURE 01

Definitions & Terminology

LECTURE 02

Initial Value Problems

LECTURE 03

Separable Equations

LECTURE 04

First-Order Linear Equations

LECTURE 05

Exact Equations

LECTURE 06

Solutions by Substitution

REVIEW

Steps to First-Order ODE Happiness

LECTURE 07

Linear Models

LECTURE 08

Complex Numbers: Definitions, Powers & Roots

LECTURE 09

Theory of Linear Equations

LECTURE 10

Reduction of Order

LECTURE 11

Homogeneous Linear Equations with Constant Coefficients

LECTURE 12

Undetermined Coefficients

LECTURE 13

Variation of Parameters

LECTURE 14

The Cauchy-Euler Equation

REVIEW

Steps to Linear ODE Happiness

LECTURE 15

Nonlinear Equations

LECTURE 16

Linear Models: Initial & Boundary Value Problems

LECTURE 17

Review of Power Series

LECTURE 18

Power Series Solutions

LECTURE 19

Theory of Linear Systems

LECTURE 20

Homogeneous Linear Systems

LECTURE 21

Solution by Diagonalization

LECTURE 22

Non-Homogeneous Linear Systems

LECTURE 23

The Matrix Exponential

bottom of page