# MATH 180 - Calculus I and Analytic Geometry

The following are the Student Learning Outcomes (SLOs) and Course Measurable Objectives (CMOs) for MATH 180. 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 can differentiate algebraic and transcendental functions.
- Students can solve optimization problems.
- Students can compute instantaneous rates of change in applications.
- Students can evaluate integrals of elementary functions using the method of substitution.

**Course Measurable Objectives (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 anti-derivatives to evaluate indefinite integrals and the Fundamental Theorem of Calculus to evaluate definite integrals.
- Evaluate integrals using the substitution rule and integration by parts.