 # Mathematics - MATH 145

## Calculus for Business and Social Science (4-0) 4 Cr. Hrs. ### Course Description

The main topics of this course are differentiation of algebraic, exponential and logarithmic functions; curve sketching; optimization; constrained optimization; integration; introduction to functions of several variables; and applications.

### Prerequisites

(A requirement that must be completed before taking this course.)

• MATH 126 with a minimum grade of 2.0 or a minimum score of 23 ACT-Math, 29 SAT-Math, 103 CPT-College-Level Math or 250 NGA-Advanced Algebra and Functions.

### Course Competencies

Upon successful completion of the course, the student should be able to:

• Solve a variety of practical problems, including but not limited to, problems of production, growth, decay and compound interest, using algebraic, exponential and logarithmic functions.
• Compare the concepts of limit and derivative of a function verbally, graphically, numerically or analytically.
• Compute manually the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
• Interpret the meanings of the precise derivatives of algebraic, exponential and logarithmic functions at selected points.
• Determine an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
• Interpret the meaning of an estimate for the derivative of any smooth function at a selected point via numerical approximation on a calculator.
• Apply methods of differentiation to solve a variety of practical problems, including but not limited to, problems of optimization.
• Compare the concepts of limit and integral of a function verbally, graphically, numerically or analytically.
• Compute manually the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
• Interpret the meanings of the precise definite integrals of algebraic, exponential and logarithmic functions between selected points.
• Determine an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
• Interpret the meaning of an estimate for the definite integral of any smooth function between selected points via numerical approximation on a calculator.
• Apply methods of integration to solve a variety of practical problems, including but not limited to, problems of accumulated income.
• Compute manually the precise partial derivatives of algebraic, exponential and logarithmic function of several variables at selected points.
• Interpret the meanings of the precise partial derivatives of algebraic, exponential and logarithmic functions of several variables at selected points.
• Apply methods of partial differentiation to solve practical problems of constrained optimization.

### Course Schedule

CourseSectionCourse TitleModeCredit HoursInstructorsSeats Available ⁄Capacity ⁄WaitlistStatusFeeDays-Time-Room

Fall; 2019; MATHEMATICS; No of Weeks : 15; Begins : 08/27/2019

145143128Calc Bus & Soc Sci 4Halaberda S26/31/0Open\$12.00T R  02:00 PM-03:54 PM BTC320

Winter; 2020; MATHEMATICS; No of Weeks : 15; Begins : 01/11/2020

145113071Calc Bus & Soc Sci 4Prong C25/31/0Open\$12.00T R  07:00 PM-08:54 PM BTC170

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