#### Description

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.

#### Prerequisites

MATH 112 or MATH 113 or MATH 115 or satisfactory score on the Math Department placement exam.

**Topics**

**The Derivative**

Slopes

Derivatives

Rules for differentiation

Rate of change

**Applications of the Derivative**

Graphs and relation with derivatives

Curve sketching

Optimization problems

**Techniques of Differentiation**

Product rule

Quotient rule

Chain rule

**The Exponential and Logarithm Functions**

Definitions and properties of exponential function

Definitions and properties of natural log

Derivatives of log and exponential functions

**Applications of the Exponential and Logarithm Functions**

Exponential growth and decay

Compound interest

**Integration**

Antidifferentiation,

Area

Approximation by Riemann sums

The fundamental theorem of calculus

Applications of the definite integral

**Functions of Several Variables**

Partial derivatives

Max-Min

Lagrange multipliers

Least squares