#### 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.