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, in- finite 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 20. Multiple integration credits: 4-5 semester hours the above topics apply to the entire calculus with analytic geometry sequence the order of topics may vary in the total calculus with analytic geometry sequence therefore, transferability is guaranteed only if the entire sequence has been com- pleted. Prerequisite: A “C” grade or higher in MAC 1311. A “C” grade or higher must be earned to advance to a higher level mathematics course or to satisfy part of the general education requirements in mathematics.