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Elementary Differential Equations
Math 2410Q § 010 & § 015D Fall 2017

Schedule

 Week Sec. Topic Supplements 1 1.1 Modeling with differential equations 1.2 Separation of variables (analytical technique) 2 1.2 Separation of variables (analytical technique) A Mixing Problem 1.3 Slope fields (qualitative technique) Matching DEs with slope fields 1.4 Euler's method (numerical technique) 3 1.4 Euler's method (numerical technique) 1.5 Existence and Uniqueness of Solutions 1.6 Equilibria and the Phase Line 4 1.6 Equilibria and the Phase Line 1.7 Bifurcations 1.8 Linear Equations Video: Undetermined Coefficients 5 1.9 Integrating Factors for Linear Equations Exam 1 2/17: Covers all of chapter 1. 6 2.1 Modeling via systems 2.2 Qualitative analysis via vector fields 2.4 Decoupled systems 7 2.4 Decoupled systems 2.5 Euler's method for systems 2.6 Existence and uniqueness for systems Will not be assessed. 2.3 Harmonic oscillators 8 3.1 Properties of linear systems 9 Spring break 10 3.1 Properties of linear systems 3.2 Straight-line solutions 11 3.3 Phase portraits for linear systems with: Real eigenvalues 3.4 Complex eigenvalues Finding the general solution and solving an IVP: an example 12 3.4 Complex eigenvalue Exam 2 4/7: Covers sections 2.1 - 2.5, 3.1 - 3.4 "Study Guide" 13 3.5 Repeated and zero eigenvalues 3.6 Second-order linear equations 14 3.6 Second-order linear equations Example: Solving an IVP 4.1 Forced harmonic oscillators 4.2 Sinusoidal forcing 15 6.1 The Laplace transform 6.3 Second-order equations 6.2 Discontinuous functions 16 Final exam Wed. 5/3 3:30-5:30 in PB 38. Comprehensive. "Study Guide"