MATH& 151 - Calculus I

General education distribution area: Quantitative / Symbolic Reasoning.

Prerequisite(s): Completion of MATH& 142  with a 2.0 or higher, or placement by assessment.

Course Outcomes

1. Apply concepts, techniques, and vocabulary of limits and continuity using numerical, graphical and symbolic techniques to solve problems.
2. Demonstrate an understanding of the precise definition of a limit.
3. Apply concepts, techniques, and vocabulary of derivatives using numerical, graphical and symbolic techniques to solve problems.
4. Interpret the meaning of the derivative in various contexts.
5. Apply various differentiation techniques, including the product/quotient/chain rules and implicit differentiation to compute derivatives.
6. Determine equations for tangent lines and find the average and instantaneous rates of change.
7. Apply concepts, techniques and vocabulary of derivatives to various contextualized and related rate problems.
8. Apply concepts of functions and their derivatives for curve-sketching, determining maxima and minima, and optimization.
9. Apply concepts of linear approximations, differentials, and the Mean Value theorem for solving non-contextualize and contextualized problems.
10. Use L’Hopistal’s rule for determining limits of indeterminate forms
11. Use Newton’s Method for finding roots of differentiable functions.
12. Calculate antiderivatives.
13. Communicate using mathematical notation and language.