Calculus with Analytic Geometry III

Catalog description

This Course Affords Students A Mastery Of Foundational Mathematical And Computation Models And Methods By Applying Such Models And Methods In Problem Solving. 1. Review Of Functions 2. Limits And Continuity 3. The Derivative 4. Differentiation Of Algebraic Functions 5. Differentiation Of Transcendental Functions 6. Mean-Value Theorem And Intermediate Value Theorem 7. Extrema And Graph Sketching 8. Area And The Definite Integral 9. Antidifferentiation 10. Fundamental Theorem 11. Inverse Functions 12. Arc Length 13. Techniques Of Integration 14. Parametric Equations And Polar Coordinates 15. Taylor's Formula, Infinite Sequences And Series 16. Vectors In The Plane And 3-Space 17. Topics From Plane And Solid Analytic Geometry 18. Directional Derivatives And Curvature 19. Differential Calculus Of Functions Of Several Variables