|Calculus for Business and Life Sciences|
|CLASS CODE:||MATH 119||CREDITS: 4|
|DIVISION:||PHYSICAL SCIENCE & ENGINEERING|
|GENERAL EDUCATION:||This course fulfills a General Education - Math requirement.|
|CATALOG 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.|
|DESCRIPTION:||This course prepares the student for studying in a one-semester terminal course of single & multivariable calculus . Useful in biology, agriculture, and business.|
|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.
|OBJECTIVES:||Service the needs of other departments; develop within each student the ability to use math as a tool in solving problems.|
|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.
|PREREQUISITES:||Math 110 or the equivalent|
|EFFECTIVE DATE:||August 2002|