Math 220 Description and Prerequisites

UM Undergraduate Catalog Course Description

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

A More Detailed Outline

The Derivative
     Rules for Differentiation
     Rate of Change
Applications of the Derivative
     Graphs and the relation with derivatives
     Graph Sketching
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
     Approximation by Riemann Sums
     Fundamental Theorems of Calculus
     Applications of the Definite Integral
Functions of Several Variables
     Partial Derivatives
     Lagrange Multipliers
     Least Squares