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MATH 14 - Support Topics for Business Calculus

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 14. A Student Learning Outcome is a measurable outcome statement about what a student will think, know, or be able to do as a result of an educational experience. Course Measurable Objectives focus more on course content, and can be considered to be smaller pieces that build up to the SLOs.

Student Learning Outcomes( SLOs)

  1. Students feel that Math 14 has improved their overall mathematical understanding and ability in Math 140. (measured by survey provided by corequisite committee)
  2. Math 14 students will be able to construct and solve mathematical models that are used in optimization applications involving cost, profit, and revenue.
  3. Math 14 students will be able to analyze functions—including sign testing, intervals of increase and decrease, and zeros—to sketch graphs.

Course Measurable Objectives Effective through Summer 2024 (CMOs)

  1. Determine the domain and range of functions.
  2. Solve a variety of polynomial, rational, radical, exponential, and logarithmic equations.
  3. Solve a variety of polynomial, rational, and absolute value inequalities.
  4. Construct, interpret, and analyze graphs.
  5. Apply differentiation rules and the chain rule on a variety of functions.
  6. Use summation notation to evaluate Riemann sums.
  7. Use integration by substitution on a variety of integrals.
  8. Use integration by parts on a variety of appropriate integrals.
  9. Solve applications involving cost, revenue, and profit.
  10. Evaluate double integrals.
  11. Communicate effectively in mathematical language.

Course Measurable Objectives Effective Beginning Fall 2024 (CMOs)

  1. Identify the limit of a function. 
  2. Apply the definition of continuity. 
  3. Find the first and higher-order derivatives for functions (algebraic, exponential, logarithmic and combinations of these), explicitly and implicitly. 
  4. Apply the derivative to curve sketching, related rates, and optimization problems. 
  5. Use the Fundamental Theorem of Calculus for the solution of real-life problems. 
  6. Select the appropriate integration technique suitable to given problems. 
  7. Apply calculus techniques to analyze functions of several variables. 
  8. Analyze a variety of applied problems using calculus.