Professor Porter

MAT 251:Multivariable Calculus 251020
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 threespace; 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:
Email: porterr@mccc.edu 
Office: LA 129 
Office Hours: (SEE WEBPAGE FOR UPDATES) 
Web Page: http://www.mccc.edu/~porterr 
Phone 6096162841 
Grading: “No makeup exams! The Final will used to calculate grades for valid excuses.”
**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 
10.110.2 
3D Coordinates and Surfaces 

2 
9/11 
10.3,10.4 
Dot Product and Cross Product 

3 
9/13 
10.5 
Lines and Planes in 3D 
Quiz 1 

4 
9/18 
10.6 
Surfaces in 3D 
3D Print 

5 
9/20 
11.1 
VectorValued 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 
6:009:00PM 
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