Liberal Arts Division
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 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:
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  3D Coordinates and Surfaces 

2 
1/19  Dot Product 

3 
1/24  Linesand Planes in 3D 

4 
1/26  Surfaces in 3D 

5 
1/31  VectorValued Functions and Curves 

6 
2/2  Derviatives & Integrals of Vector Functions 

7 
2/7  Arclength and Curvature, Motions in Space 

8 
2/9  11.5 

9 
2/14  Functions of Multiple Variables/Limits Continuity, Derivatives and Differentiability 

10 
2/16  
11 
2/21  Tangent Planes, The Chain Rule 

12 
2/23  Directional Derivative and Gradient 

13 
2/28  Extrema 

14 
3/2  Lagrange Multipliers 

15 
3/7  Double Integrals 

16 
3/9  Other Types of Integrals 

17 
3/21  
18 
3/23  
19 
3/28  
20 
3/30  
21 
4/4  Triple Integrals 

22 
4/6  Triple Integrals in Other Coordinates 

23 
4/11  Change of Variables 

24 
4/13  Vector Fields, Line Integrals 

25 
4/18  Independence of Path, Green’s Thm 

26 
4/20  Curl and Divergence 

27 
4/25  
28 
4/27  
29 
5/2  Review 
Review 

30 
5/4  Final 

FINAL 
5/9  BS320 
6:009:00PM 
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.