Broward College, MAP 2302 – Differential Equations

If you change the way you look at things, the things you look at change.
Max Plank

Any fool can know. The point is to understand.
Albert Einstein

MAP2302: Differential Equations

Topics include equations of first order, linear equations with constant coefficients, non-homogeneous equations, variation of parameters, solution using Laplace Transforms, elementary existence theorems, series solutions, and applications to physics and chemistry.

MAP2302: Activities

Summer 2019, Broward College

05/14 1.1 Course Introduction. Backgrounds
1.2 Solutions and Initial Value Problems (verify solutions)
Practice 1 (Questions to be discussed in class).

05/16 1.2 Solutions and Initial Value Problems (IVP)
1.4 The Approximation Method of Euler
Practice 2 (Questions to be discussed in class).

05/21 2.2 Separable Equations. 2.3 Linear Equations. Practice 3.

05/23 2.4 Exact Equations. 2.6 Substitutions and Transformations. Practice 4.

05/28 Test 1 Review.
Summary of Techniques: Solving First ODE by Mathonline.

05/30 Thursday Test 1

4.2 Homogeneous Linear Equations: The General Solution
4.3 Auxiliary Equations with Complex Roots
4.4 Non-Homogeneous Equations: The Method of Undetermined Coefficients
4.5 The Superposition Principle and Undetermined Coefficients Revisited
4.6 Variation of Parameters
4.7 Variable-Coefficients Equations
Test 2 Review

Test 2

7.2 Definition of The Laplace Transform
7.3 Properties of The Laplace Transform
7.4 Inverse Laplace Transform
7.5 Solving Initial Value Problems
Test 3 Review
Oregon State University: The Laplace Transform Method.

Test 3

6.2 Homogeneous Linear Equations with Constant Coefficients
6.3 Undetermined Coefficients and The Annihilator Method
8.2 Power Series and Analytic Functions
8.3 Power Series Solutions to Linear Differential Equations
Test 4 Review

Test 4

Final Exam


Broward College, South Campus.
Instructor: Carlos Sotuyo

Syllabus_MAP2302 TR, 4:00pm-5:50 pm
Room 107, Bldg 70, South Campus

Exams consist of free-response questions.
The Instructor Do not use Power Point Presentations.

Slope and Direction Fields
by Bluffton University


Differential Equations resources:

Paul Online Notes.

Diff Eqns: The Pennsylvania State University, Prof Tseng.
MIT opencourseware: Professor A. Mattuck.
Diff Eqns: Univsersity of Canterbury.
Professor Voutsadakis: site & slides, ode zip
Houston Math Prep: youtube channel
ODE-Summary, by
Nonhomogeneous linear ...
By Stewart Calculus.
Differential Equations: Pauls Online Notes

Diff Eqns Solver


Prof. James Souza, Phoenix College:
Differential Equations



MIT Prof. Arthur Mattuck:
18-03, Differential Equations.


Millersville University:final-review sheets & solutions for Basic Algebra, Trigonometry, Calculus 1, 2 & 3 .

JUST THE MATHS: From Algebra to differential equations: Teaching Units:table of content By A. J. Hobson.