program self-study report - Lamar University Electrical Engineering

MATH 2413 - Calculus and Analytic Geometry ISpring 2006 Semester(Required)Catalog Data 2006-2008:Textbook:Coordinator:Course Objective:Prerequisites by Topic:MATH 2413: Calculus and Analytic Geometry I. Credit 4. Functions,limits, derivatives of algebraic, trigonometric, exponential and logarithmicfunctions, curve sketching, related rates, maximum and minimum problems,definite and indefinite integrals with applications.Prerequisite: MATH 2312 or its equivalent.James Stewart, Calculus (Early Transcendentals), 5th edition, Brooks/Cole;Harris and Lopez, Discovering Calculus with Maple, 2 nd editionMichael Laidacker, Associate Professor of MathematicsMATH 2413 is the first in a series of three calculus courses. The main goalof this course is to introduce the derivative and integral, along with thebasic applications of each.Four years of high school mathematicsTopics:1. Exponential Functions2. Logarithm Functions3. Tangent and velocity problems4. Limit of a function5. Calculating limits using limit laws6. Precise definition of a limit7. Continuity8. Limits at infinity; horizontal asymptotes9. Tangents, velocities, and rates of change10. Derivatives11. The derivative as a function12. Derivatives of Polynomials and Exponentials13. Product and Quotient Rules14. Derivatives of Trigonometric Functions15. The Chain Rule16. Implicit differentiation17. Higher Derivatives18. Derivatives of Logarithmic Functions19. Hyperbolic Functions20. Related rates21. Linear approximations and differentials22. Maximum and minimum values23. The mean value theorem24 How derivatives affect the shape of a graph25. Indeterminate forms and L’Hospital’s rule26. Optimization problemsEE Program Self-Study Report-2006 97