MCCCD Program Description

Brief Calculus

Course: MAT213

First Term: 2010 Spring

Lecture 4 Credit(s) 4 Period(s) 4 Load
Subject Type: Academic
Load Formula: S

Description: 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.

MCCCD Official Course Competencies
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 Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.

MCCCD Official Course Outline
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

MCCCD Governing Board Approval Date: 11/24/2009

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.