MATH 145 Business Calculus

Students will develop skills in initial content of both differential and integral calculus, with an emphasis on applications from business and economics. Topics include finding the limits of functions, computing derivatives of functions, analyzing graphs using the first and second derivatives, and computing definite and indefinite integrals.  Applications include supply and demand problems, marginal analysis, optimization, and consumers' and producers' surplus problems. The fundamental theorem of calculus, summations of area, partial derivatives, and the method of least squares will be used when appropriate. Students cannot receive credit for both MATH 145 and MATH 181.

Credits

3

Prerequisite

MATH 141 or higher

Hours Weekly

3 hours weekly

Course Objectives

1. Communicate and interpret mathematical concepts related to Calculus using appropriate symbols, notation, and vocabulary.
2. Use the properties of limits to determine limits algebraically and graphically.
3. Calculate derivatives using differentiation properties.
4. Apply the theory of derivatives to solve a variety of application problems in business and economics.
5. Use the theory of derivatives to graph functions.
6. Calculate integrals using integration properties.
7. Apply the theory of integration to solve a variety of application problems in business and economics.
8. Model applications to represent real-world and business applications using Calculus concepts, methods, and techniques.

Course Objectives

1. Communicate and interpret mathematical concepts related to Calculus using appropriate symbols, notation, and vocabulary.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Project

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
2. Use the properties of limits to determine limits algebraically and graphically.

   This objective is a course Goal Only

   Learning Activity Artifact

   • Other (please fill out box below)
   • Exams or projects

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Scientific Reasoning

   • SR2
3. Calculate derivatives using differentiation properties.

   This objective is a course Goal Only

   Learning Activity Artifact

   • Other (please fill out box below)
   • Exams & Project

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
4. Apply the theory of derivatives to solve a variety of application problems in business and economics.

   This objective is a course Goal Only

   Learning Activity Artifact

   • Other (please fill out box below)
   • Exams & Project

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric

   Technological Literacy

   • TL1
   • TL2
5. Use the theory of derivatives to graph functions.

   This objective is a course Goal Only

6. Calculate integrals using integration properties.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Project

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
7. Apply the theory of integration to solve a variety of application problems in business and economics.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Project

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric
8. Model applications to represent real-world and business applications using Calculus concepts, methods, and techniques.

   Learning Activity Artifact

   • Other (please fill out box below)
   • Project

   Procedure for Assessing Student Learning

   • Quantitative Reasoning Rubric