Professor Porter
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MAT 251:Multivariable Calculus 251-300/310
COURSE SYLLABUS “The Study of Change in multiple dimensions” |
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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: ZOOM Meeting Access 4461153665 |
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.”
**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. Leave all work visible as you might get half credit for arguments that are good, but crossed off. Unjustified answers receive NO credit! |
1 |
1/19 |
10.1-10.2 |
3-D Coordinates and Surfaces |
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2 |
1/21 |
10.3,10.4 |
Dot Product and Cross Product |
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3 |
1/26 |
10.5 |
Lines and Planes in 3-D |
Quiz 1 |
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4 |
1/28 |
10.6 |
Surfaces in 3-D |
3D Print |
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5 |
2/2 |
11.1 |
Vector-Valued Functions and Curves |
Quiz 2 |
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6 |
2/4 |
11.2 |
Derivatives & Integrals of Vector Functions |
Vectors |
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7 |
2/9 |
11.3,11.4 |
Arclength and Curvature, Motions in Space |
Quiz 3 |
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8 |
2/11 |
11.5,11.6 |
Tangent and Normal Vectors / Parametric Surfaces |
PTest1 |
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9 |
2/16 |
12.1,12.2 |
Functions /Limits/Continuity/ Derivatives |
Quiz 4 |
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10 |
2/18 |
12.3 |
Partial Derivatives |
Test1 |
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11 |
2/23 |
12.4,12.5 |
Tangent Planes, The Chain Rule |
Quiz 5 |
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12 |
2/25 |
12.6 |
Directional Derivative and Gradient |
Partials |
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13 |
3/2 |
12.7 |
Extrema |
Quiz 6 |
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14 |
3/4 |
12.8 |
Lagrange Multipliers |
Models |
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15 |
3/9 |
13.1 |
Double Integrals |
Quiz 7 |
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16 |
3/11 |
13.2 |
Other Types of Integrals |
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17 |
3/23 |
13.3 |
More Double Integrals |
Quiz 8 |
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18 |
3/25 |
13.4 |
Applications and Polar Coordinates |
PMidterm |
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19 |
3/30 |
Review |
Midterm Review |
Quiz 9 |
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20 |
4/1 |
Midterm |
Midterm Exam |
Work |
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21 |
4/6 |
13.5 |
Triple Integrals |
Quiz 10 |
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22 |
4/8 |
13.6,13.7 |
Triple Integrals in Other Coordinates |
Integrals |
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23 |
4/13 |
13.8 |
Change of Variables |
Quiz 11 |
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24 |
4/15 |
14.1,14.2 |
Vector Fields, Line Integrals |
Posters |
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25 |
4/20 |
14.3,14.4 |
Independence of Path, Green’s Theorem |
Quiz 12 |
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26 |
4/22 |
14.5,14.6 |
Curl, Divergence ,Surface Integrals and Apps |
Ptest2 |
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27 |
4/27 |
14.7,14.8 |
Divergence and Stokes Theorem |
Quiz 13 |
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28 |
4/29 |
Review |
Final Exam |
Test2 |
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FL |
5/4 |
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