|Calculus for Business and Life Sciences|
|CLASS CODE:||MATH 119||CREDITS: 4|
|DIVISION:||PHYSICAL SCIENCE & ENGINEERING|
|GENERAL EDUCATION:||This course does not fulfill a General Education requirement.|
|DESCRIPTION:||A one-semester terminal course of single and multi-variable calculus designed primarily for students in biology, agriculture, and business. Topics include derivatives, integrals, and applications.|
|TAUGHT:||Winter, Summer, Fall|
|CONTENT AND TOPICS:||Derivatives: rate of change, slope, limit definition, derivative formulas, product rule, quotient rule, power rule, chain rule, derivatives of exponential and logarithmic functions, implicit differentiation and applications in business and economics.
Graphing and Optimization: continuity, first and second derivative tests, relative and absolute extrema and graphing techniques.
Integration: indefinite and definite integrals, integration formulas, substitution, Fundamental Theorem of Calculus, limit definition of the definite integral, area between curves, integration by parts, improper integrals, integration tables, numerical integration methods, applications in business and economics.
- - Multivariable calculus: functions of several variables, partial derivatives, higher-order partial derivatives, maxima and minima, LaGrange Multipliers, least squares linear regression, and double integrals over a rectangular region.
- - Differential equations: separable differential equations and first order linear differential equations.
|GOALS AND OBJECTIVES:||1. Become proficient with differentiation.
2. Become proficient with integration.
3. Become proficient with functions of several variables.
4. Understand how studying calculus relates to the real world.
5. Gain proficiency in applying calculus concepts to real-life situations.
6. Sharpen oral and written communication skills.
|REQUIREMENTS:||Attendance is required. All students are to purchase their own copy of the text and their own graphing calculator. Most instructors require the TI-86 graphing calculator. Students will be required to take examinations, complete written reports, homework assignments, and participate in oral presentations, in-class board work, and projects.
|PREREQUISITES:||Math 110 or the equivalent|
|EFFECTIVE DATE:||August 2003|