Jun 15, 2024  
2021-22 Catalog 
2021-22 Catalog [ARCHIVED CATALOG]

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MATH& 148 - Business Calculus

5 CR

Surveys differential and integral calculus, emphasizing uses in business and social science. Intended for students who wish only a brief course in calculus. Either MATH 151  or MATH& 148 may be taken for credit, not both. Note: Fulfills the quantitative or symbolic reasoning course requirement at BC.

Prerequisite(s): MATH 138  or MATH 141  with a C- or better, or placement by assessment.

Course Outcomes
  • Use the product, quotient and chain rules to differentiate simple algebraic, exponential and logarithmic functions.
  • Construct equations for tangent lines and find average and instantaneous rates of change from symbolic, graphical and numerical information.
  • Apply the concepts, techniques and vocabulary of limits, continuity and first and second derivatives to solve problems in contexts such as marginal analysis, product elasticity, related rates, exponential growth/decay and optimization.
  • Use simple substitutions, integration by parts and tables to determine antiderivatives of simple algebraic and exponential functions.
  • Determine the values (exact or approximate, as appropriate) of definite integrals using the Fundamental Theorem of Calculus and areas.
  • Apply the ideas of definite and indefinite integrals to solve problems in contexts such as total change/accumulation, consumer and producer surplus, exponential growth and decay, etc.
  • Determine appropriate units for definite integrals and derivatives.
  • Calculate partial derivatives of simple functions of two variables, and apply them to solve optimization problems, compute marginal productivity, and interpret three-dimensional graphics.

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