# 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:

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