Days Material to be covered Sections Supplementary Problems               June 24 Introduction Direction fields 1.1-1.3 3, 4 June 25 Separable Equations 2.2 21 -- 25 June 26 Equations reducable to separable equations. 2.2 35 -- 38 July 1 Exact Equations 2.6 10 -- 12 July 1 Integrating Factors 2.6 31, 32 July 2 Linear Equations 2.1 34 -- 37 July 3 Review     July 5 Test 1   take home July 8 Maple and Matlab     July 8 Euler Methods 2.7 15 -- 19 July 9 Numerical solutions Runge-Kutta method 8.3 7 -- 12 July 10 Second order equations Fundamental set of solutions. Wronskian 3.1 3.2 1--17odd,25,26 1-19odd, 23,24,28--31 July 11 Second order equations Fundamental set of solutions. Wronskian 3.1 3.2 1--17odd,25,26 1-19odd, 23,24,28--31 July 15 Non-homogeneous equations. Lagrange's method and methods of undetermined coefficients 3.4 3.5 1 -- 25 1-19odd, 28 -- 31 July 16 Mechanical and Electrical Vibrations 3.7 Review 10 -- 19 July 18 Test 2     July 22 Laplace transformation 6.1 1 -- 14 July 23 Properties 6.1 15 -- 24 July 24 Inverse Laplace transformation 6.2 1 -- 10 July 25   6.2 17 -- 26 July 29 Laplace transformation in differential equations 6.3 6.4 1,2,5,6,7,8,14-18,21,24,25,40 1,7,9,22,23 July 30 -- Aug 1 Applications and examples       Last day of class August 1 Final August 4, 9 -- 12 (noon) Textbook: Elementary Differential Equations and Boundary Value Problems, by William E. Boyce and Richard C. DiPrima. John Wiley & Sons, 10th edition, 2012, ISBN 978-0-470-45831-0

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