## MATH 252-07

CALCULUS III

INSTRUCTOR INFORMATION:

## Professor Shannon Gracey

*Phone:* (619) 421-6700 ext. 5517

*Office: Room 320D*

*e—mail:* [email protected]

*web page:* http://www.swccd.edu/~sgracey

*Office Hours*

### MW, from 1:30PM-2:05PM, TTH from 2:00PM-3:30PM

10.3 Calculus in polar coordinates. 10.4 Conic sections. Vectors and Vector-Valued Functions. 11.1 Vectors in the plane. 11.2 Vectors in three dimensions. 11.3 Dot products. 11.4 Cross products. 11.5 Lines and curves in space. 11.6 Calculus of vector-valued functions. 11.7 Motion in space. 11.8 Length of curves. Find the volume if the region enclosed by ݕ ൌ √ݔ, and ݕ ൌ ݔ ଶ is rotated about the line ݕ ൌ 1. 11.3 Solids of Revolution (Washers) Calculus Find the volume of the solid formed by revolving the region about the -axis.

## Course Description

Covers analytic geometry, vectors, and vector-valued functions. Includes functions of several variables, vector calculus, surfaces and surface integrals, partial derivatives, multiple integrals, line integrals, and Green's Theorem. Requires graphing calculator.

**Prerequisite**

MATH 251

**Recommended Preparation**

RDG 56 or the equivalent skill level as determined by the Southwestern College Reading Assessment or equivalent

## INTEGRAL REVIEW

## VOLUME OF SOLIDS OF REVOLUTION

## ANNOTATED LECTURE PDF FILES (BY DATE)

WEEK 1 LECTURES: 1/121/14 | WEEK 7 LECTURES: 2/23 | WEEK 13 LECTURES: 4/44/64/8 |

WEEK 2 LECTURES: 1/191/21 | WEEK 8 LECTURES: 2/283/23/4 Shontelle impossible mp3 download stafaband. | WEEK 14 LECTURES: 4/114/13 |

WEEK 3 LECTURES: 1/241/261/28 | WEEK 9 LECTURES: 3/73/93/11 | WEEK 15 LECTURES: 4/274/29 |

WEEK 4 LECTURES: 1/312/4 | WEEK 10 LECTURES: 3/143/163/18 | WEEK 16 LECTURES: 5/25/45/6 |

WEEK 5 LECTURES: 2/72/92/11 | WEEK 11 LECTURES: | WEEK 17 LECTURES: 5/9 5/13 |

WEEK 6 LECTURES: 2/142/16 | WEEK 12 LECTURES: 3/304/1 | WEEK 18 LECTURES: |

## IN-CLASS WORKSHEETS

WS 14.1 |

## SEMESTER HOMEWORK

## SOLUTIONS:

## 11.3 Solids Of Revolution Washerap Calculus Calculator

EXAMS

EXAM 1 | EXAM 2 | EXAM 3 |

EXAM 5 |

HANDOUTS:

## USEFUL LINKS:

## Course Objectives

## 11.3 Solids Of Revolution Washerap Calculus 2nd Edition

1. Student will apply the concepts learned in the previous two courses to functions of two or more variables.

2. Student will perform operations on vectors and vector-valued functions and will use them in applications to lines and planes in space, velocity and acceleration, and loci in space.

3. Student will evaluate partial and directional derivatives, differentials, and apply these to extrema of functions and tangent planes and normal lines.

4. Student will evaluate multiple integrals and use them in applications to areas and volume, including tranformations to polar, cylindrical, and spherical systems.

5. Student will evaluate line integrals and surface integrals, use vector fields and use Green's Theorem and the Divergence Theorem as applications of vector calculus.

6. Student will demonstrate the ability to graph a variety of surfaces in 3-space, including quadric surfaces, cylinders, and solids of revolutions.

## Student Learning Outcomes

### Upon successful completion of Math 252, the student should be able to:

## 11.3 Solids Of Revolution Washerap Calculus Solver

- State and apply basic definitions, properties, and theorems of multivariable Calculus
- Apply vector operations in two and three dimensions and use vector methods to analyze plane and space curves, and curvilinear motion
- Apply standard techniques of multivariable calculus, both differential and integral, to solve selected applied problems
- Apply standard techniques of vector analysis to analyze and solve problems involving vector fields and (line, surface, or flux) integrals

## 11.3 Solids Of Revolution Washerap Calculus 14th Edition

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