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Math 215/255 Prerequisite: Integral Calculus Corequisite: Multivariable Calculus and Linear algebra Textbook: Elementary Differential Equations and Boundary Value Probems, 9th ed., W. E. Boyce and R. C. DiPrima, Published by Wiley. The 8th edition is okay, but problem sets will be taken from the 9th edition. Grading: Best three out of four 50-minute in class quizzes (15 percent each) tentatively on May 19, 26 and June 9, 16. One 150-minutes final exam (55 percent). The exact date will be known on (or before) June 4. This being said, for most (but not all) summer courses, the final exam will be written during the course period, so June 18 (evening) or June 19. As of May 11 this is all I can say regarding the date of the final exam. Final grade may be scaled. Policies: – No calculators or notes are permitted for the quizzes and the final exam. Adjustment to the weighting of grades due to a missed quiz will only be granted under medical circumstances such as an illness with a doctor’s note. For other reasons regarding
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Unformatted text preview: your absence, please seek consultation with me prior to the quiz. Otherwise, a score of zero will be assigned for the missing quiz. TOPICS: • Introduction • First order equations – Linear and separable equations 2.1 - 2.2 – Applications 2.3 – Existence and uniqueness 2.4 – Exact equations 2.6 – Eulers method 2.7 • Second order linear equations – Homogeneous equations with constant coefficients 3.1 – Fundamental solutions, Wronskian 3.2 – Complex and repeated roots, reduction of order 3.3- 3.4 1 – Nonhomogeneous equations 3.5-3.6 – Mechanical and electrical vibrations 3.7-3.8 • Laplace transforms – Definition and examples 6.1 – Solution of initial value problems 6.2 – Discontinuities 6.3- 6.4 – Impulses and convolution 6.5-6.6 • Systems: (Exact details as we get closer) 2...
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