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

INTEGRAL REVIEW

VOLUME OF SOLIDS OF REVOLUTION

ANNOTATED LECTURE PDF FILES (BY DATE)

WEEK 1 LECTURES: 1/12 1/14

WEEK 7 LECTURES: 2/23

WEEK 13 LECTURES: 4/4 4/6 4/8

WEEK 2 LECTURES: 1/19 1/21

WEEK 8 LECTURES: 2/28 3/2 3/4

WEEK 14 LECTURES: 4/11 4/13

WEEK 3 LECTURES: 1/24 1/26 1/28

WEEK 9 LECTURES: 3/7 3/9 3/11

WEEK 15 LECTURES: 4/27 4/29

WEEK 4 LECTURES: 1/31 2/4

WEEK 10 LECTURES: 3/14 3/16 3/18

WEEK 16 LECTURES: 5/2 5/4 5/6

WEEK 5 LECTURES: 2/7 2/9 2/11

WEEK 11 LECTURES:
no class 3/23 and 3/25-out-of-class assignment due 3/28

WEEK 17 LECTURES: 5/9 5/13

WEEK 6 LECTURES: 2/14 2/16

WEEK 12 LECTURES: 3/30 4/1

WEEK 18 LECTURES:

IN-CLASS WORKSHEETS

WS 11.1 WS 11.2 WS 11.3 WS 11.4 WS 11.5 WS 11.6 WS 11.7

WS 12.1 WS 12.2 WS 12.3 WS 12.4 WS 12.5

WS 13.1 WS 13.3 WS 13.4 WS 13.5 WS 13.6 WS 13.7 WS 13.8 WS 13.9

WS 14.1 WS 14.2 WS 14.3 WS 14.5 WS 14.6 WS 14.7

WS 15.1 WS 15.2 WS 15.3 WS 15.4 WS 15.5 WS 15.6 WS 15.7

                                

SEMESTER HOMEWORK

SOLUTIONS:

EXAMS

EXAM 1 EXAM 2 EXAM 3

EXAM 4

EXAM 5  

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:

 

 

 

 

 

 

 

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