Math 163A Learning Outcomes

  1. Understand the business terminology of demand, cost, price, revenue, and profit.
  2. Use linear, polynomial, rational, algebraic, exponentail and logarithmic functions in business applications.
  3. Determine the limits of functions graphically, numerically, and analytically.
  4. Recognize and determine infinite limits and limits at infinity.
  5. Determine the continuity of functions at a point or on intervals.
  6. 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.
  7. Use differentials in approximation problems.
  8. Determine derivatives using the power rule, sum & difference rules, product rule, quotient rule, and chain rule.
  9. Determine derivatives of Exponential and Logarithmic Functions.
  10. Understand the business terminology of marginal quantities, including marginal cost, marginal revenue, and marginal profit.
  11. Determine higher order derivatives of a function.
  12. Understand velocity as the derivative of position and acceleration as the 2nd derivative of position.
  13. Determine the absolute extrema of a continuous function on a closed interval.
  14. 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.
  15. Apply differential calculus to business applications.

Return to the Math 163 page.