MATH2860_DiffEqns_Syllabus(1).pdf - Differential Equations for Engineers MATH 2860F19 SYLLABUS Some info(including dates may change within the first

MATH2860_DiffEqns_Syllabus(1).pdf - Differential Equations...

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Di ff erential Equations for Engineers MATH 2860F19 SYLLABUS Some info (including dates) may change within the first week of lectures. Course Information Course Number Math2860U Course Date Thursday, September 05 through Wednesday, December 04, 2019 Lectures CRN40346 Section 001: UB2080, Mon 8:10-9:30am; Thu 8:10-9:30am. CRN40347 Section 002: UA1350, Mon 11:10-12:30am; Thu 11:10-12:30am. Lectures will start the week of Sep 05. Instructor Information Instructors Dr. Isaac Ye , [email protected] Use Blackboard Messages (preferred) O ffi ce: UA4045 O ffi ce Hours : M/Th 12:30pm-1:30pm OR by appointment. Tutorial TA’s: Please see below Tutorials starts on Tuesday, September 10 . Textbooks Required Reading Di ff erential Equations with Boundary Value Problems , D.G. Zill and W.S.Wright, Brooks/Cole, 9th edition, ISBN/ISSN: 1-305-96579-5. or D.G. Zill and M.R. Cullen, Brooks/Cole, 8th edition. Recommended Reading Student Resources and Solutions Manual , Brooks/Cole, ISBN/ISSN: 1-305-96581-7. Course Description A study of di ff erential equations that arise as models of phenomena in engineering. Topics in- clude: first-order equations; linear equations; second-order equations and their applications; systems of linear equations; series solutions; Laplace transforms; introduction to partial di ff er- ential equations. A detailed list of the main topics to be covered is listed below.
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MATH 2860F19 Di ff Eqns for Eng SYLLABUS Page 2 of 6 Tentative Course Schedule Week 0-1 (Sep 05-06 and Sep 09-13) Introduction; First Order Equations Definition and classification of di ff erential equations; Modeling using di ff erential equations; Solving separable and linear equations. Week 2 (Sep 16-20) First Order Equations (Cont’d) Linear Models; Solving exact equations; Modeling with first order equations. Week 3 (Sep 23-27) Higher Order Equations Linear independence and the Wronskian; Reduction of order; Homogeneous equations with constant coe ffi cients (real distinct and repeated roots). Week 4 (Sep 30-Oct 04) Higher Order Equations (Cont’d) Homogeneous equations with constant coe ffi cients (complex roots); Variation of Parameters; Modeling with Higher Order Equations (free undamped spring motion). Week 5 (Oct 07-11) Modeling with Higher Order Equations (Cont’d) Applications (free damped; external force spring motion; forced vibrations; circuits). Boundary value problems; Nonlinear models. Week 6 (Oct 14-18) Reading Break! No academic activities.
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