# Calculus II for the Social Sciences

## MATH 158, Spring 2010

### Content

- Antiderivatives (1.5 weeks):

Methods of integration, Tables of integrals, using computers. - The Fundamental Theorem of Calculus (2.5 weeks):

Definite integrals, areas, numerical approximations, applications in business. - Functions of 2 or more variables (3 weeks):

Partial derivatives, critical points, tangent planes, least squares approximation, double integrals. - Differential equations (2 weeks):

Examples of first order equations, examples of first order systems. - Continuous probability (1.5 weeks):

Mean, variance, conditional probability, the normal distribution. - Sequences and series (1.5 weeks):

Infinite sequences and sums, Taylor polynomials, convergence.

### Textbook

*Applied Calculus for the Managerial, Life and Social Sciences* by Tan, Ashlock and Menz

We will cover most sections from Chapters 8 - 11, 13 and 14.

### Software

We will use Maple for some calculations in this course. The university has a site license for Maple version 13. Maple is installed on the PCs and MACs in the assignment lab, and the university open labs and the library. On Windows Maple is under "Statistics Applications" on the "All Programs" menu.

#### Handouts

Course info sheet (.doc)

Lecture schedule (.xls)