#### Description

This is a first-semester course in calculus with applications in biology and life-sciences.

#### Prerequisites

A grade of C- or better in MATH 112, MATH113, or MATH115; or permission of department based on 3 1/2 years of college preparatory mathematics (including trigonometry) and satisfactory performance on the MATHEMATICS PLACEMENT EXAM. Credit will be granted for only one of the following: MATH 130 or MATH 140 or MATH 220.

#### Topics

**Functions, Limits, Continuity**

Exponential and Logarithmic Functions and Applications (Growth and Decay)

Trigonometric Functions

Limits, Continuity and Rates of Change

**Derivatives**

Definition of the Derivative

Techniques for Finding Derivatives, Derivatives of Products and Quotients

The Chain Rule

Derivatives of Exponential, Logarithmic and Trigonometric Functions

**Applications of the Derivative**

Increasing and Decreasing Functions

Relative Extrema

Higher Derivatives and Concavity

Curve Sketching

Absolute Extrema and Applications of Extrema

Implicit Differentiation

Related Rates

**Integrals**

Anti-derivatives

Substitutions

Area and Definite Integral

Fundamental Theorem of Calculus

Integrals of Trigonometric Functions