Multivariable Calculus, Fall 2014

Section H1


Lectures: MW 5:00-6:20 PM
Location: SEC 216 Bush
Recitations: T 5:00-6:20 PM
Location: SEC 202 Bush
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Instructor: Bud Coulson

Email: bud at math.rutgers.edu
Office Hours: ThF 10:00-11:00 AM, Hill 521 Busch

Textbook: Rogawski;   Calculus, Early Transcendentals (second edition), W.H. Freeman, 2011

Calculators: No calculator is required for this course.

General Course Information [An information page by math department on textbooks, syllabus, review materials etc.]

Academic Integrity Policy


Attendance Policy


Quizzes


Labs


Homework


Exams and Grading


Course Plan

Lecture
Section(s)
Topics
Homework Problems
Wednesday, September 3rd
12.1, 12.2 Vectors in 2-D and 3-D
12.1:  46, 59, 60-62
12.2:  25, 33, 51, 57
Monday, September 8th
12.3, 12.4 Dot and Cross Products
12.3:  21, 29, 31, 66, 71, 77
12.4:  19, 22, 39, 63
Wednesday, September 10th
12.5 Planes
12.5:  14, 23, 30, 36, 65
Monday, September 15th
13.1, 13.2 Vector Calculus
13.1:  4, 7, 15, 21, 23, 29
13.2:  4, 9, 27, 31, 45, 57, 58
Maple Lab 1 (due Sept. 29th)
Wednesday, September 17th
13.3, 13.4, 13.5 Arclength; Curvature; Motion in 3-D
13.3:  3, 11, 14, 18
13.4:  3, 17, 19, 23
13.5:  3, 6, 32
Monday, September 22nd
14.1, 14.2 Multivariable Functions
14.1:  7, 19, 20, 23, 29, 30
14.2:  7, 15, 22, 29
Wednesday, September 24th
14.3, 14.4 Partial Derivatives; Tangent Planes
14.3:  3, 19, 22, 33, 49, 54, 55, 57
14.4:  1, 7, 15, 21, 25, 32
Monday, September 29th
14.5 Gradient and Directional Derivatives
14.5:  7, 13, 27, 31, 33, 38, 39, 44
Maple Lab 2 (due Oct. 15th)
Wednesday, October 1st
14.6 Chain Rule
14.6:  1, 5, 7, 13, 24, 27, 37, 39
Monday, October 6th
14.7 Optimization
14.7:  1, 3, 10, 19, 21, 28, 31, 32, 37, 40
Wednesday, October 8th
14.8 Lagrange Multipliers
14.8:  2, 7, 11, 13, 15
Monday, October 13th
Review
Tuesday, October 14th
Exam 1 (in the recitation room)
Wednesday, October 15th
15.1 Integration in Several Variables
15.1:  12, 17, 27, 29, 41, 43, 45
Maple Lab 3 (due Oct. 29th)
Monday, October 20th
15.2, 15.3 Double Integrals over More General Regions;
Triple Integrals
15.2:  3, 5, 11, 21, 27, 32, 33, 41, 43, 49
15.3: 3, 5, 9, 15, 19, 21, 35
Wednesday, October 22nd
12.7, 15.4 Cylindrical and Spherical Coordinates;
Integration in Polar, Cylindrical and Spherical Coordinates
12.7: 1, 5, 23, 35, 42, 53, 59
15.4: 1, 5, 13, 17, 22, 23, 27, 33, 41, 47, 49
Monday, October 27th
15.6 (1st half) Change of Variables 15.6: 1, 5, 14, 15, 21, 29, 33, 37
Wednesday, October 29th
15.6 (second half) Change of Variables 15.6: 1, 5, 14, 15, 21, 29, 33, 37
Maple Lab 4 (due Nov. 12th)
Monday, November 3rd
16.1 Vector Fields 16.1: 1, 3, 10, 15, 25, 31
Wednesday, November 5th
16.2 Line Integrals 16.2: 3, 15, 21, 23, 35, 37, 41, 43
Monday, November 10th
16.3 Conservative Vector Fields 16.3: 1, 5, 9, 11, 15, 21, 22
Wednesday, November 12th
Review Review Maple Lab 5 (due Dec. 3rd)
Monday, November 17th
Exam 2 Exam 2
Wednesday, November 19th
16.4 Parametric Surfaces and Surface Integrals 16.4: 1, 5, 8, 11, 13, 17, 23
Monday, November 24th
16.5 Surface Integrals of Vector Fields 16.5: 1, 6, 9, 12, 15, 17, 23
Monday, December 1st
17.1 Green's Theorem 17.1: 1, 3, 6, 9, 13, 23, 25
Wednesday, December 3rd
17.2 Stokes' Theorem 17.2: 1, 5, 9, 11, 21, 23
Monday, December 8th
17.3 Divergence Theorem 17.3: 1, 5, 7, 9, 13, 16, 17
Wednesday, December 10th
Review Review
Tuesday, December 16th
Final Final