Approved

## Date Reviewed

December 2014
Study of limits, continuity, the derivative, and its applications, and the definite integral. Student Learning Outcomes: - Apply differentiation to the study of functions and their graphs, to optimization and related rate problems, and to applications from science and economics. - Calculate limits when they exist; when limits do not exist, give reasons for their non-existence. - Compute anti-derivatives of polynomial, rational, algebraic, exponential, logarithmic, and trigonometric functions. - Compute derivatives of polynomial, rational, algebraic, exponential, logarithmic, and trigonometric functions. - Determine where a function is continuous and/or differentiable, and explain why - Interpret Riemann sums as definite integrals, relate definite integrals to areas, and evaluate definite integrals using the Fundamental Theorem of Calculus. - Use techniques of differentiation, including the product, quotient, and chain rules, and implicit differentiation.

Lower Division