# MATH& 152 Calculus II • 5 Cr.

## Department

## Division

## Description:

Continues the study of integration, emphasizing applications and special techniques. Students work with algebraic and transcendental functions. Fulfills the quantitative or symbolic reasoning course requirement at BC. Recommended: MATH& 151.

## Outcomes:

After completing this class, students should be able to:

- To calculate the Riemann sum for a given function, partition and collection of evaluation points
- To describe a definite integral as
- The limit of a Riemann sum
- The area under a curve
- The distance traveled by a moving object
- A total accumulation

- To determine the appropriate units for a definite integral
- To describe the meaning of the antiderivative of a function
- To determine the antiderivatives of
- Polynomials
- The trigonometric functions
- The exponential and logarithmic functions

- To determine the values of definite integrals using antiderivatives and areas
- To approximate the numerical values of definite integrals
- To state the Fundamental Theorem of Calculus
- To apply the ideas of definite integrals to solve problems of
- Areas
- Volumes
- Work
- Centers of mass
- Other assorted applications

- To recognize separable differential equations and to use integration to solve separable initial value problems
- To solve problems of exponential growth and decay and to understand the meanings and limitations of those solutions
- To differentiate the inverse trigonometric functions and to use them with integrals
- To describe the meaning of an improper integral and to evaluate some classes of improper integrals
- To apply the techniques of integration by parts, substitution methods, and tables of antiderivatives to evaluate some classes of integrals

## Offered:

- Winter 2015 (current quarter)
- Fall 2014
- Summer 2014
- Spring 2014