Professor Porter

  

porterr@mccc.edu

609-616-2841

(phone or Text)

Office:LA128

Schedule

MAT 251:Multivariable Calculus

251-020

 

COURSE SYLLABUS

“The Study of Change in multiple dimensions”

 

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.”

Classwork

15%

3D Projects

10%

Midterm Exam

20%

Quizzes/Tests/Practice

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:

Day

Date

Sections

Topics

Due

Discussion

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

9/6

10.1-10.2

3-D Coordinates and Surfaces

 

2

9/11

10.3,10.4

Dot Product and Cross Product

 

3

9/13

10.5

Lines and Planes in 3-D

Quiz 1

 

4

9/18

10.6

Surfaces in 3-D

3D Print

 

5

9/20

11.1

Vector-Valued Functions and Curves

Quiz 2

 

6

9/25

11.2

Derivatives & Integrals of Vector Functions  

Vectors

 

7

9/27

11.3,11.4

Arclength and Curvature, Motions in Space

Quiz 3

 

8

10/2

11.5,11.6

Tangent and Normal Vectors / Parametric Surfaces

PTest1

 

9

10/4

12.1,12.2

Functions /Limits/Continuity/ Derivatives

Quiz 4

 

10

10/9

12.3

Partial Derivatives

Test1

 

11

10/11

12.4,12.5

Tangent Planes, The Chain Rule

Quiz 5

 

12

10/16

12.6

Directional Derivative and Gradient

Partials

 

13

10/18

12.7

Extrema

Quiz 6

 

14

10/23

12.8

Lagrange Multipliers

Models

 

15

10/25

13.1

Double Integrals

Quiz 7

 

16

10/30

13.2

Other Types of Integrals

 

17

11/1

13.3

More Double Integrals

Quiz 8

 

18

11/6

13.4

Applications and Polar Coordinates

PMidterm

 

19

11/8

Review

Midterm Review

Quiz 9

 

20

11/13

Midterm

Midterm Exam

Work

 

21

11/15

13.5

Triple Integrals

Quiz 10

 

22

11/20

13.6,13.7

Triple Integrals in Other Coordinates

Integrals

 

23

11/27

13.8

Change of Variables  

Quiz 11

 

24

11/29

14.1,14.2

Vector Fields, Line Integrals

Posters

 

25

12/4

14.3,14.4

Independence of Path, Green’s Theorem

Quiz 12

 

26

12/6

14.5,14.6

Curl, Divergence ,Surface Integrals and Apps

Ptest2

 

27

12/11

14.7,14.8

Divergence and Stokes Theorem

Quiz 13

 

28

12/13

Project

Project (3d printer 2)

Test2

 

FL

12/18

BS320

6:00-9:00PM

 

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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.