## Math 163A Learning Outcomes

- Understand the business terminology of demand, cost, price, revenue, and profit.
- Use linear, polynomial, rational, algebraic, exponentail and logarithmic functions in business applications.
- Determine the limits of functions graphically, numerically, and analytically.
- Recognize and determine infinite limits and limits at infinity.
- Determine the continuity of functions at a point or on intervals.
- Understand the interpretation of the derivative as the slope of a line tangent to a graph and as the rate of change of a dependent variable with respect to an independent variable, and determine the derivative of a function using the limit definition.
- Use differentials in approximation problems.
- Determine derivatives using the power rule, sum & difference rules, product rule, quotient rule, and chain rule.
- Determine derivatives of Exponential and Logarithmic Functions.
- Understand the business terminology of marginal quantities, including marginal cost, marginal revenue, and marginal profit.
- Determine higher order derivatives of a function.
- Understand velocity as the derivative of position and acceleration as the 2nd derivative of position.
- Determine the absolute extrema of a continuous function on a closed interval.
- Use the first and second derivatives to analyze and sketch the graph of a function, including determining intervals on which the graph is increasing, decreasing, constant, concave up, concave down, and finding relative extrema and inflection points.
- Apply differential calculus to business applications.

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