# Math 220 Description and Prerequisites

** Math 220, Elementary Calculus I (3 credits) **
An introduction to calculus for students in the biological, social
and management sciences, and architecture. Applications of calculus
to these disciplines form an important part of the course.
Concrete calculations are emphasized and provide an opportunity to
practice algebraic skills introduced in earlier courses. Credit
will only be given for one of Math 140 and Math 220.

## * Course Prerequisites *

- MATH 112 or MATH 113 or MATH 115
or a satisfactory score on the Math Department Placement Exam.

## * A More Detailed Outline *

** The Derivative **

Slopes

Derivatives

Rules for Differentiation

Rate of Change

** Applications of the Derivative **

Graphs and the relation with derivatives

Graph Sketching

Optimization

** Techniques of Differentiation **

Product and Quotient Rules

Chain Rule

Inverse Function Rule

** Exponential and Logarithm Functions **

Definition and Properties of Exponential Functions

Derivatives of Exponential Functions, Natual Base

Definition and Properties of the Natual Logarithm

Derivative of the Natural Logarithm

** Applications of Exponential and Logarithm Functions **

Exponential Growth and Decay

Compound Interest

** Integration **

Antidifferentiation

Area

Approximation by Riemann Sums

Fundamental Theorems of Calculus

Applications of the Definite Integral

** Functions of Several Variables **

Partial Derivatives

Optimization

Lagrange Multipliers

Least Squares