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)

Students feel that Math 18A has improved their overall mathematical understanding and ability in Math 180. (measured by survey provided by corequisite committee)

Math 18A students will be able to construct mathematical models and solve optimization and related rates problems.

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 Effective through Summer 2024 (CMOs)
 Graph functions with transformations on known graphs.
 Evaluate limits using properties of limits and the definition of the limit, and limits at infinity.

Evaluate derivatives and higher derivatives of polynomial, exponential, logarithmic, hyperbolic, trigonometric, and inverse trigonometric functions.
 Evaluate derivatives using the power, product, quotient, and chain rules.
 Apply implicit differentiation.

Solve various application problems including rates of change, related rates, maximum and minimum values, and optimization.
 Use L’Hopitals Rule to evaluate limits in an indeterminant form.
 Evaluate definite and indefinite integrals.
 Evaluate integrals using the Fundamental Theorem of Calculus, and the substitution rule.
Course Measurable Objectives Effective Beginning Fall 2024 (CMOs)
 Represent functions verbally, algebraically, numerically and graphically.
 Construct mathematical models of physical phenomena.
 Graph functions with transformations on known graphs.
 Use logarithmic and exponential functions in applications.
 Solve calculus problems using a computer algebra system.
 Prove limits using properties of limits and solve problems involving the formal definition of the limits.
 Solve problems involving continuity of functions.
 Evaluate limits at infinity and represent these graphically.
 Use limits to find slopes of tangent lines, velocities, other rates of change and derivatives.
 Compute first and higher order derivatives of polynomial, exponential, logarithmic, hyperbolic, trigonometric, and inverse trigonometric functions.
 Evaluate derivatives using the product, quotient and chain rules and implicit differentiation.
 Use derivatives to compute rates of change in applications.
 Apply derivatives to related rates problems, linear approximations and differentials, increasing and decreasing functions, maximum and minimum values, inflections and concavity, graphing, optimization problems, and Newton's Method.
 Apply the Mean Value Theorem in example problems.
 Use L'Hopital's Rule to evaluate limits of indeterminate forms.
 Use a computer algebra system in applications of calculus.
 Use antiderivatives to evaluate indefinite integrals and the Fundamental Theorem of Calculus to evaluate definite integrals.
 Evaluate integrals using the substitution rule and integration by parts.