Description

The second semester of 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 141, Math131, and Math 221.

Prerequisites

MATH 220 or MATH 140 or MATH 130

Topics

Trigonometric Functions

Radian measure of angles
Sine and cosine and their derivatives
Other trigonometric functions

Techniques of integration

Substitution
Integration by parts
Evaluating definite integrals
Approximations of definite integrals
Improper integrals
Applications of integration

Infinite Series

Taylor polynomials
Geometric series
Taylor series
Newton-Raphson Algorithm

Differential Equations

Separation of variables
Numerical solutions
Qualitative theory
Applications

Probability

Random variables
Expected value and variance
Exponential and normal random variables
Poisson and geometric random variables

Some computer work may be included in the course.