## MATH 252-07

CALCULUS III

INSTRUCTOR INFORMATION:

## Professor Shannon Gracey

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

*Office: Room 320D*

*e—mail:* sgracey@swccd.edu

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

*Office Hours*

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

##

## 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

## ANNOTATED LECTURE PDF FILES (BY DATE)

## IN-CLASS WORKSHEETS

##

## SOLUTIONS:

EXAMS

WS 12.4

HANDOUTS:

SYLLABUS

TENTATIVE SPRING
2011 SCHEDULE

TRIGONOMETRY
REVIEW

CALCULUS & TRIG FORMULAS

LINEAR REGRESSION

## USEFUL LINKS:

SEMESTER HOMEWORK

CALCULUS
I WEB PAGE

CALCULUS
II WEB PAGE

TRIGONOMETRY HANDOUTS

PRECALCULUS HANDOUTS

SURFING
DERIVATIVE

TI
CALCULATOR STEP-BY-STEP TUTORIALS

VISUAL
CALCULUS

Funny
Calculus Clip

## Course Objectives

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:

- 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

##

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