# Course Description

Schoolcraft is excited to offer traditional credit face-to-face, hybrid, online, and remote classes for Fall 2020 while providing students a safe experience based on recent COVID-19 concerns.

Please see the COVID-19 web page to learn more. Keep checking the schedule for additions on our New, Added, and Late Starting Courses web page.

# Mathematics - MATH 145

## Calculus for Business and Social Science

### 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 TitleLocationCredit HoursInstructorsSeats Available ⁄Capacity ⁄WaitlistStatusFeeDays-Time-Room

Fall; 2020; MATHEMATICS; No of Weeks : 15; Begins : 08/31/2020

145143128Calc Bus & Soc SciRMT4Jadoun N21/24/0Open\$12.00T R  02:00 PM-03:54 PM WEBWEB

Winter; 2021; MATHEMATICS; No of Weeks : 15; Begins : 01/11/2021

145113071Calc Bus & Soc SciRMT4Jadoun N20/24/0Open\$12.00T R  07:00 PM-08:54 PM WEBWEB

Key: Day of the Week

• T = Tuesday
• R = Thursday
• S = Saturday
• X = Sunday

Key: Class Location