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
