program self-study report - Lamar University Electrical Engineering

MATH 2415 - Calculus & Analytic Geometry IIISpring 2006 Semester(Required)Catalog Data 2006-2008:Textbook:Coordinator:Course Objective:Prerequisites by Topic:MATH 2415: Calculus and Analytic Geometry III. Credit 4. Sequences,series, functions of several variables, vector analysis, partial derivatives,multiple integrals and differential equations. Prerequisite: MATH 2414or its equivalent.James Stewart, Calculus (Early Transcendentals), 5 th edition,Brooks//ColeMichael Laidacker, Associate Professor of MathematicsThe course is the last of a series of three four-hour calculus courses. Thebasic goal of the course is to introduce the student to series, multiplevariablecalculus, vectors and differential equations.Second course in calculusTopics:1. Vector functions and space curves2. Derivatives and integrals of vector functions3. Arc length and curvature4. Motion in space; velocity and acceleration5. Functions of Several Variables6. Limits and Continuity7. Partial Derivatives8. Tangent planes and linear approximations9. The Chain Rule10. Directional derivatives and the Gradient Vector11. Maximum and minimum values12. Lagrange Multipliers13. Double integrals over Rectangles14. Iterated integrals15. Double integrals over general regions16. Double integrals in polar coordinates17. Applications of double integrals18. Surface area19. Triple integrals20. Triple integrals in cylindrical and spherical coordinates21. Change of variables in multiple integrals22. Vector fields23. Line integrals24. The fundamental theorem for line integrals25. Green's Theorem26. Curl and Divergence27. Parametric surfaces and their areasEE Program Self-Study Report-2006 101