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Phone: (407) 823-6284;   Fax: (407) 823-6253;   MAP  207 MAC 2302 .02 DIFFERENTIAL EQUATIONS Fall 2003 , 3 credit hours INSTRUCTOR Dr. Rautenstrauch OFFICE MAP 231C OFFICE HOURS MTWF 8:30-9:20 MTWF 10:30-11:20 PHONE 407-823-2493 EMAIL peterr@pegasus.cc.ucf.edu CLASS LOCATION    MAP 407 CLASS TIMES 7:30-8:20 TEXTBOOK DIFFERENTIAL EQUATIONS by Zill GRADING SCALE Average Grade 90 - 100% A 80 - 89% B 70 - 79% C 60 - 69% D 0 - 59% F TENTATIVE LIST OF TOPICS A LIST OF CHAPTERS AND SECTIONS FOR D.G. ZILL"DIFFERENTIAL EQUATIONS", 5TH EDITIONCh. 1. Introduction to differential equations1.1 Basic definitions and terminology1.2 Some mathematical modelsCh. 2 First-order differential equations 2.1 Preliminary theory 2.2 Separable variables 2.3 Homogeneous equations (optional) 2.4 Exact equations 2.5 Linear equations 2.6 Equations of Bernoulli (required), Ricatti and Clairaut (optional)Ch.4 Linear differential equations of higher-order 4.1 Preliminary theory 4.2 Constructing a second solution from a known solution 4.3 Homogeneous linear equations with constant coefficients 4.4 Undetermined coefficients – superposition approach 4.5 Differential operators 4.6 Undetermined coefficients – annihilator approach 4.7 Variation of parametersCh.5 Applications of second order differential equations. Vibrational models 5.1 Simple harmonic motion (optional) 5.2 Damped motion (optional) 5.3 Forced motion (optional)Ch. 6 Differential equations with variable coefficients 6.1 Cauchy-Euler equations 6.2 Review of power series. Power series solutions 6.3 Solutions about ordinary points 6.4 Solutions about singular points (a brief exposure)Ch.7 Laplace transform 7.1 Laplace transform 7.2 Inverse transform 7.3 Translation theorems and derivatives of a transform 7.4 Transforms of derivatives, integrals, and periodic functions 7.5 ApplicationsCh. 8 Systems of linear differential equations 8.1 Operator method (optional) 8.2 Laplace transform (optional) OTHER INFORMATION Welcome to Differential Equaitons (MAP 2302) Fall of 2003General Course Instructions Course: MAP 2302 Differential Equations Instructor: Dr. RautenstrauchText: Differential Equations 5TH ed. Office Location: 231C MAP Building by Zill Office Hours: 8:30 a.m. – 9:20 a.m. MTWF 10:30 a.m. – 11:20 a.m. MTWF Grading Scale: G >