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Contents

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 polynomial, rational, radical, exponential, and logarithmic functions using the chain rule and the basic differentiation rules, and substitution in finding definite and indefinite integrals. Applications include dealing with optimization, marginal analysis, supply and demand, and area. Graphs of functions will be analyzed using first and second derivatives to identify asymptotes, intervals of increase/decrease, maxima/minima, concavity, and points of inflection. 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. 1. Communicate mathematical concepts related to Calculus topics using appropriate symbols,
    notation, and vocabulary.
  2. 2. Apply appropriate Calculus concepts, methods, and techniques to solve a variety of
    application problems in business and economics such as supply and demand problems,
    optimization, and marginal analysis.
  3. 3. Analyze, evaluate, justify, and interpret the reasonableness of solutions to problems in
    business and economics.
  4. 4. Identify and use appropriate technologies to efficiently complete tasks that involve the solving
    of a variety of mathematical problems including business and economics applications.

Course Objectives

  1. 1. Communicate mathematical concepts related to Calculus topics using appropriate symbols,
    notation, and vocabulary.
  2. 2. Apply appropriate Calculus concepts, methods, and techniques to solve a variety of
    application problems in business and economics such as supply and demand problems,
    optimization, and marginal analysis.
  3. 3. Analyze, evaluate, justify, and interpret the reasonableness of solutions to problems in
    business and economics.
  4. 4. Identify and use appropriate technologies to efficiently complete tasks that involve the solving
    of a variety of mathematical problems including business and economics applications.