# MATH& 151 : Calculus I: Analytic Geometry

Limits and continuity; derivatives of algebraic and trig functions; chain rule, implicit differentiation and applications, an introduction to antiderivatives. This class will include students from multiple sections. (QS, NS)

## Prerequisites

2.0 or higher in MATH& 142 or equivalent.

## Course Outcomes

A student who successfully completes this class with a grade of 2.0 or better should be able to:

1. Evaluate limits of functions given in functional notation form and well as graphical forms.
2. Find limits using the left and right hand limits.
3. Use the properties of limits to evaluate limits.
4. Use the definition of continuity to determine if a function is continuous.
5. Evaluate limits in indeterminate form using L’Hospital’s rule.
6. Use the definition of the derivative to find the derivative of a function.
7. Use the rules of differentiation, power, product, quotient, chain rule, and implicit to evaluate the derivative of a function.
8. Setup and evaluate related rates problems.
9. Use the concept of differentials to find linear approximations.
10. Find the extreme of functions using the first and second derivative tests.
11. Setup and solve optimization problems.
12. Use the concept of the derivative as a rate of change to sketch curves.

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