Maricopa Community Colleges  MAT213   20066-99999
 Official Course Description: MCCCD Approval: 12-13-05 MAT213  2006 Fall – 2009 Fall LEC 4.0 Credit(s) 4.0 Period(s) Brief Calculus Introduction to the theory, techniques, and applications of the differential and integral calculus of functions with problems related to business, life, and the social sciences. Prerequisites: Grade of "C" or better in MAT150, or MAT151, or MAT152, or MAT187 or equivalent, or satisfactory score on District placement exam.
 MCCCD Official Course Competencies: MAT213  2006 Fall – 2009 Fall Brief Calculus

 1. Find derivatives of functions using both the definition and theorems. (I) 2. Use the derivative to solve and analyze application problems related to business, life, and the social sciences. (II) 3. Use technology to model, solve, and analyze problems related to real-world applications. (II, IV) 4. Find the integral of functions using theorems. (III) 5. Use the integral to solve and analyze application problems related to business, life, and the social sciences. (IV)

 MCCCD Official Course Outline: MAT213  2006 Fall – 2009 Fall Brief Calculus I. Derivatives A. Limits B. Slope and rate of change C. Definition of the derivative D. Rules of differentiation 1. Product 2. Quotient 3. Chain rules 4. Implicit 5. Related rates 6. Higher order II. Applications of the Derivative A. Increasing and decreasing functions B. Extrema and first-derivative test C. Concavity and second-derivative test D. Optimization problems E. Applications to business, life, and social sciences, including velocity and marginals III. Integration A. Antiderivatives and indefinite integrals, including substitution and integration by parts B. Definite integrals and the fundamental theorem of calculus C. Improper integrals IV. Applications of Integration A. Area under a curve B. Area between two curves C. Applications to business, life, and the social sciences

Go to Description    Go to top of Competencies    Go to top of Outline