Limits, rates of change, graphing, differentiating, optimizing, polynomials, integration, logarithmic and exponential functions, implicit differentiation, business applications. This class may include students from multiple sections. (Quantitative Skills, Natural Sciences, Elective)
- Evaluate the limit of a function, including the limit as x approaches infinity and one-sided limits, using graphical, numerical and algebraic methods.
- Compute and interpret the average rate of change and the instantaneous rate of change of a function.
- Compute the derivative of a function using the limit definition and derivative rules: power, constant multiple, sum and difference, product, quotient, chain, exponential, and logarithmic.
- Use differentiation to solve business application problems.
- Find extrema and solve optimization problems.
- Find inflection points (points of diminishing returns).
- Compute antiderivatives.
- Use the Fundamental Theorem of Calculus to compute definite integrals.
- Use integration to solve business application problems.