Math 220 - Applied Differential equations

Course Notes: The notes are just examples. The complete notes are not posted here.

Subject	Links
First Linear Equations	Introduction and some definitions Autonomous Equations, Slope fields and Stability Separable Equations Exact Equations Integrating Factors and Linear Equations Diagnostics: When should we Seprable, Exact or Linear Equations? Tank, Application Falling Object, Application More Applications Exact Integrating Factors Substitution: Homogeneous Substitution: Bernoulli
Second Order Equations	Introduction to 2nd order linear equations 2nd Order Homogeneous Linear Equations, why, how and three examples of charactristic equations Introduction to forced linear equations Examples of forced linear equations using undeterminate coefficients Method (Guessing) Examples of forced linear equations using variation of parametrs method for functions other than natural functions Euler-Cauchy 2nd order Homogenous Equations Euler-Cauchy 2nd order Forced Equations Application: Spring-Mass systems Beat, Resoonance, Steady State and Transient Solutions
Laplace Transforms	Introduction to Laplace Transform Inverse of Laplace Transform and full process Laplace transform simplifies with solving circuits and it is the only method we know for piecewise functions
Systems of Equations	Videos for TI84 Matrix Computation. Introduction to Linear Algebra Introduction to Systems of Equations Homogeneous Systems of Linear Equations Non-Homogeneous System of Linear Equations

Homework:

Subject	Links
First Linear Equations	Homework 1 Homework 2 Homework 3 Homework 4 Homework 5
Second Order Equations	Homework 6 Homework 7
Laplace Transformations	Homework 8 Homework 9 Homework 10
Syatems of Equations	Homework 11 Homework 12 Homework 13

Reviews: (Scroll down to find the solutions.)

Textbook: Elementary Differential Equations By W. Boyce and R. DiPrima, 10th edition

Review 1: Review 1 and solutions
Review 2: Review 2 and solutions
Review 3: review 3 and solutions
Final Review: Final-review
Final review solution: Solutions
Multiple choice sample: MULTIPLE CHOICE SAMPLE

We teach Differential equations in smaller lectures relative to calculus courses. The course is taught on board and we don't use slides. The notes above are just examples, mostly from Boyce Diprima book but other resources has been used as well; they are not complete lecture notes.

For videos and additional material refer to other resources such as Khan Acadmy, Paul's Notes, Jiri's Free textbook and other online resources.

Past Sylabi: