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MATH 18A - Support Topics for Calculus I

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 18A. 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 18A has improved their overall mathematical understanding and ability in Math 180. (measured by survey provided by corequisite committee)
  2. Math 18A students will be able to construct mathematical models and solve optimization and related rates problems.
  3. Math 18A students will be able to analyze functions—including sign testing, intervals of increase and decrease, and zeros—to sketch graphs.

Course Measurable Objectives (CMOs)

  1. Graph functions with transformations on known graphs.
  2. Evaluate limits using properties of limits and the definition of the limit, and limits at infinity.
  3. Evaluate derivatives and higher derivatives of polynomial, exponential, logarithmic, hyperbolic, trigonometric, and inverse trigonometric functions.
  4. Evaluate derivatives using the power, product, quotient, and chain rules.
  5. Apply implicit differentiation.
  6. Solve various application problems including rates of change, related rates, maximum and minimum values, and optimization.
  7. Use L’Hopitals Rule to evaluate limits in an indeterminant form.
  8. Evaluate definite and indefinite integrals.
  9. Evaluate integrals using the Fundamental Theorem of Calculus, and the substitution rule.