Mercer County Community College  Liberal Arts Division    Prof. PORTER

MAT 251:Calculus 3 “The Study of Change in multiple dimensions”   Tentative COURSE OUTLINE

Catalog Description: Continuation of MAT152. Topics include the following:  vectors, planes, and quadratic surfaces in a three-space; vector-

functions; partial derivatives, multiple integrals and topics in vector calculus.

Prerequisites:         Calculus 2 (MAT152) with minimum C grade

“This course will require literature searches in Vectors, Partial Derivatives, and Multiple Integrals so as to empower the student with critical thinking

skills, strong reading abilities in the discipline of mathematics, and useful marketable skills.”

Required Materials:

Text:    DON'T BUY UNTIL CLASS MEETS

Recommended Book: SMITH and MINTON, Calculus Early Transcendental Functions, 4th Ed. ISBN:97800777431396

Required: CONNECT (w/ book ISBN: 007723586x

A graphing calculator is recommended. 

TI – 83/84/86 is strongly recommended

Instructor Contact Info:

E-mail: porterr@mccc.edu 

Office: LA 129 

Office Hours: (SEE WEBPAGE FOR UPDATES)

 

Web Page:    http://www.mccc.edu/~porterr

Phone

609-616-2841

Grading:No make-up exams! The Final will used to calculate grades for valid excuses.”

Teamwork/Projects

15%

Homework/Review

15%

Midterm Exam

15%

Quizzes/Tests

15%

Literature Searches

15%

In-Class Final**

25%

Total

100%

**Must Receive a 50% on Final to pass course!**

 

93%-100%........A

90%-92%..........A-

87%-89%..........B+      “A curve may be applied

83%-86%..........B        to low exam grades, but

80%-83%..........B-       not to high exams.”

77%-79%..........C+

70%-76%..........C

60%-69.5%.......D

<59.5%.............F

Topics:

The emphasis in this course is on presenting a good argument not simply producing an answer.

SHOW ALL WORK TO SUPPORT YOUR ARGUMENTS AND TO GET FULL CREDIT.

An “OK” mark on your paper means the answer is wrong but you get full credit for the argument.

Leave all work visible as you might get half credit for arguments that are good, but crossed off.

Unjustified answers receive NO credit!

1

1/17

10.1-10.2

3-D Coordinates and Surfaces

2

1/19

10.3,10.4

Dot Product and Cross Produc

3

1/24

10.5

Linesand Planes in 3-D

4

1/26

10.6

Surfaces in 3-D

5

1/31

11.1

Vector-Valued Functions and Curves

6

2/2

11.2

Derviatives & Integrals of Vector Functions  

7

2/7

11.3,11.4

Arclength and Curvature, Motions in Space

8

2/9

11.5,11.6

 Tangent and Normal Vectors

Parametrticx Surfaces (lit search 1/ test 1)

9

2/14

12.1,12.2

Functions of Multiple Variables/Limits

Continuity, Derivatives and Differentiability

10

2/16

12.3

Partial Derivatives

11

2/21

12.4,12.5

Tangent Planes, The Chain Rule

12

2/23

12.6

Directional Derivative and Gradient

13

2/28

12.7

Extrema (3d printer 1)

14

3/2

12.8

Lagrange Multipliers (lit search 2)

15

3/7

13.1

Double Integrals

16

3/9

13.2

Other Types of Integrals

17

3/21

13.3

 More Double Integrals

18

3/23

13.4

 Applications and Polar Coordinates

19

3/28

Review

20

3/30

Midterm

21

4/4

13.5

Triple Integrals

22

4/6

13.6,13.7

Triple Integrals in Other Coordinates

23

4/11

13.8

Change of Variables (lit search 3)

24

4/13

14.1,14.2

Vector Fields, Line Integrals

25

4/18

14.3,14.4

Independence of Path, Green’s Thm

26

4/20

14.5,14.6

Curl and Divergence

Surface Integrals and Applications

27

4/25

14.7,14.8

Divergence and Stokes Thm

28

4/27

Project

Project (3d printer 2)

29

5/2

Review

Review

30

5/4

Final Review

FINAL

5/9 BS320 6:00-9:00PM

Mercer County Community College is committed to ensuring the full participation of all students in all activities, programs and services. If you have a documented differing ability or think that you may have a differing ability that is protected under the ADA and Section 504 of the Rehabilitation Act, please contact Arlene Stinson in LB 216 stinsona@mccc.edu for information regarding support services.

If you do not have a documented differing ability, remember that other resources are available to all students on campus including academic support through our Academic Learning Center located in LB 214.