# 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:

- Summer 2014
- Spring 2014 (current quarter)
- Winter 2014
- Fall 2013