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Elementary Differential Equations
Math 2410Q § 004 & § 013
Spring 2018

Schedule

 Week Sec. Topic Supplements 1 1.1 Definitions and terminology Essential Vocabulary 2 1.2 Initial value problems 1.3 Differential equations as mathematical models In class examples 3 2.2 Separable equations 2.1 Solution curves without a solution (direction fields) In class examples: #1 (with solution curves) #2 (with solution curves) #3 (with solution curves) #4 (with solution curves) #5 (with solution curves) 4 2.1 Solution curves without a solution (direction fields) 2.6 A numerical method (Euler's Method) Euler's Method Calculator 5 2.3 Linear equations 2.5 Solutions by substitutions 6 Exam 1 (blank) (solutions) 2/12: Covers 1.1 - 1.3, 2.1 - 2.3, 2.6 "Study Guide" 2.5 Solutions by substitutions 7 B.1 Basic definitions and theory B.2 Gaussian and Gauss-Jordan elimination 8 B.2 Gaussian and Gauss-Jordan elimination B.3 The eigenvalue problem 9 Spring break 10 8.1 Linear systems - preliminary theory 8.2 (Solving) Homogeneous systems 11 8.2 (Solving) Homogeneous systems Phase portrait plotter Note: Only works with small coefficiants 12 Exam 2 (blank) (solutions) 4/2: Covers B.1 - B.3, 8.1 - 8.2 "Study Guide" 4.1 Linear equations - preliminary theory 4.3 Homogeneous linear equations with constant coefficients An example of order 11 (Solution.) 13 4.4 Undetermined coefficients 14 4.6 Variation of parameters 7.1 The Laplace transform Laplace transform tables 15 7.2 The inverse Laplace transform 7.3 Operational properties 16 Final exam Cumulative 5/2: 3:30 - 5:30pm BUSN 106 "Study Guide"