MATH 145 - Calculus for Business and Social Science

Credits: 4
Lecture Contact Hours: 4
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: 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.
Corequisites: None.
Recommended: None.

Course Category: Liberal Arts | Mathematics
This course counts toward Schoolcraft’s General Education Requirements.
This course counts toward a Michigan Transfer Agreement General Education Requirement.

This Course is Typically Offered: Winter, Spring, Fall
Check Course Availability

Course Competencies

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.