Broward College, MAP 2302 – Differential Equations
 If you change the way you look at things, the things you look at change. Max Plank The real voyage of discovery consists not in seeking new landscapes, but in having new eyes. Marcel Proust 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 06/04 4.2 Homogeneous Linear Equations: The General Solution. Practice 5. 06/06 4.3 Auxiliary Equations with Complex Roots. Practice 6. 06/11 4.4 Non-Homogeneous Equations: The Method of Undetermined Coefficients 4.5 The Superposition Principle and Undetermined Coefficients Revisited. Practice 7. 06/13 4.6 Variation of Parameters. Practice 8. 06/18 4.7 Variable-Coefficients Equations. Solutions to Euler-Cauchy Eqns, by L. Drager, Texas Tech University. Practice 9. 06/20 Test 2 Review: questions and answers. 06/25, No class --(Broward College Academic Schedule). 6/27 Test 2 07/02 7.2 Definition of The Laplace Transform. 7.3 Properties of The Laplace Transform. Practice 10. A table of common Laplace Transforms. 07/09 7.4 Inverse Laplace Transform. 7.5 Solving Initial Value Problems. Practice 11. Laplace Summary - University of Bradford, UK. 07/11 Test 3 Review. Handwritten answer to ix, x,xi Practices 10 and 11 should be considered part of the preparation for Test 3. PennState: Prof. Zachary S Tseng Notes1: The Laplace Transform. 07/16 Test 3 07/18 6.2 Homogeneous Linear Equations with Constant Coefficients. 6.3 Undetermined Coefficients and The Annihilator Method. Practice 12 and Practice 13. 07/23 8.2 Power Series and Analytic Functions. 8.3 Power Series Solutions to Linear Differential Equations. 07/25 Test 4 Review 07/30 Test 4 08/01 Review Final Exam 08/06 Final Exam Broward College, South Campus. Instructor: Carlos Sotuyo email: csotuyo@broward.edu 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. Anti-powerpoint-party.com 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 integral-table.com 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.