# LOS ANGELES VALLEY COLLEGE MATH 275. Ordinary Differential Equations (section # units) S16. MW 9:40 11:05a MS 108

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1 LOS ANGELES VALLEY COLLEGE MATH 275 Ordinary Differential Equations (section # units) S16 MW 9:40 11:05a MS 108 Instructor: Shanna Dobson Office: MS 112 _ Phone: (x8507) Office Hours: M a PREREQUISITE recommended. A grade of C or better in MATH 267, or concurrent enrollment in MATH 267 and enrollment via STEM program. A grade of C or better in MATH 270 is also COURSE DESCRIPTION A study of first order and linear differential equations. Special methods for the solutions of these equations developed and applied. Laplace transform and inverse Laplace transform are developed and applied. Power series solutions and linear systems of differential equations are included. OBJECTIVES AND STUDENT LEARNING OUTCOMES Upon successful completion of this course, students will be able to: develop notations and terminologies relevant to the study of differential equations; solve first order differential equations and special differential equations, such as Bernoulli equations; solve linear differential equations and nonlinear reducible differential equations and applications such as the Green Cauchy differential equation; define Laplace transform and obtain Laplace and inverse Laplace transforms with their applications in solving initial value problems; solve systems of linear first order differential equations using matrix theory; think analytically about higher level mathematical concepts in order to solve differential equations; analyze and solve differential equations using myriad techniques including calculus based strategies. TEXTBOOK Differential Equations with Boundary Value Problems, Polking, Boggess, and Arnold, Pearson Prentice Hall 2 nd Ed., 2012 (REQUIRED). ISBN: UNITS OF INSTRUCTION Chapter 2: 2.1, 2.2, 2.4, ; Chapter 5: ; Chapter 9: , ; Chapter 4: ; Chapter 8: ; Chapter 11: ; METHODS OF EVALUATION 2 in class midterm examinations 60% 1 in class final examination (cumulative) 40%. 1 optional Extra Credit Project (TBA) PERCENT LETTER GRADE PERCENT LETTER GRADE A C B D 0 59 F Grades will NOT be curved, skewed, or otherwise inflated. No re tests or extra credit will be given.

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