MATH& 148 - Business Calculus

5 Credits
Introduction to Differential and Integral Calculus of elementary functions with emphasis on business applications and its use in optimization.

General education distribution area: Quantitative / Symbolic Reasoning.

Prerequisite(s): Completion of MATH& 141 with a 2.0 or higher, or placement by assessment.

Course Outcomes

Apply concepts, techniques, and vocabulary of limits and continuity.
Use the product, quotient, chain rule, and implicit differentiation to differentiate algebraic, exponential and logarithmic functions.
Determine equations for tangent lines and find the average and instantaneous rates of change.
Apply concepts, techniques and vocabulary of limits, continuity, and derivatives to related rate problems and contextualized business applications.
Use L’Hopistal’s rule for determining limits of indeterminate forms.
Apply concepts of functions and their derivatives for curve-sketching, determining maxima and minima, and optimization.
Calculate antiderivatives and use the substitution rule to calculate antiderivatives of algebraic and exponential functions.
Determine the values of definite integrals using the Fundamental Theorem of Calculus and areas.
Apply the concepts of definite and indefinite integrals to growth/decay and contextualized business problems.
Calculate partial derivatives of simple functions of two or more variables, and apply them to solve optimization problems.
Use Lagrange multipliers to solve optimization problems.
Communicate using mathematical notation and language.