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. Fulfills the quantitative or symbolic reasoning course requirement at BC. Prerequisite: Placement by assessment or MATH 138 with a C- or better.
After completing this class, students should be able to:
- 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.