Math 2210-005 Calculus III - Fall 2010
MWF 10:45-11:35AM, AEB 350
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Required Text: Calculus with Differential Equations (Ninth Edition). Authors: Varberg,
Purcell, and Rigdon
Instructor: Robbie Snellman, LCB Loft (4th floor in LCB)
Office hours: Thursday 1-2 pm and by appointment
Phone: None
Email: snellman@math.utah.edu
-------------------------------------------------------------------------------------------------------------------Prerequisites: "C" or better in MATH 1220 OR MATH 1250 OR MATH 1270 OR AP
Calculus BC score of at least 4. Essentially this means that mathematical proficiency in
Calculus I and Calculus II is required and expected for this course.
Course Description:
This course covers the following topics:
• Vectors in the plane and in 3-space
• Differential calculus in several variables
• Integration and its applications in several variables
• Vector fields
• Gauss’s Divergence Theorem
• Line, surface, and volume integrals
• Green's and Stokes's theorems
Grading:
There will be three in-class midterms, a comprehensive final exam, and weekly
homework. Midterms will count for 40% of the grade, the final exam will count for 35%,
and homework will count for 25% of your grade. Grades will be determined according to
the University Grading Guidelines given as follows:
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"A," "A-," excellent performance, superior achievement
"B+," "B," "B-," good performance, substantial achievement
"C+," "C," "C-," standard performance and achievement
"D+," "D," "D-," substandard performance, marginal achievement
"E," unsatisfactory performance and achievement
Caution: All students, regardless of course performance, must take the final exam. If a
student does not take the final exam then the student will receive a failing grade for the
course, no exceptions!
Homework:
• There will be weekly homework assignments. Homework will be assigned on
Wednesdays and turned in the following Wednesday to allow students a full
week to work on the homework exercises.
• Homework is to be turned in at the beginning of class to avoid class disruption by
unprepared students. If a student fails to turn the homework assignment in at the
beginning of class, the homework assignment will be regarded as if it had never
been turned in altogether and the student will receive zero points for that
assignment.
• Students are encouraged to collaborate with fellow classmates on the homework,
but individual work must be turned in. Students are discouraged to share exact
personal answers with unprepared students as I will give both students a score of
zero points for that assignment if both papers are identical.
• I would encourage students to rework past homework exercises multiple times as
exam questions will be similar (not identical) to the homework.
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Rough Weekly Schedule (Subject to Change)
August 23-27
Sections 11.1, 11.2, 11.3
August 30 – September 3
Sections 11.4, 11.5, 11.6
September 8-September
10
Sections 11.7, 11.8
September 13-September
17
Sections 11.9, 12.1, 12.2
September 20-September
24
September 27-October 1
Sections 12.3, 12.4, First
Exam
Sections 12.5, 12.6, 12.7
Cartesian Coordinates in
3-space; Vectors; The Dot
Product.
The Cross Product;
Vector-Valued Functions
and Curvilinear Motion;
Lines and Tangent Lines in
3-space.
Curvature and
Components of
Acceleration; Surfaces in
3-space.
Cylindrical and Spherical
Coordinates; Functions of
Two or More Variables;
Partial Derivatives.
Limits and Continuity;
Differentiability.
Directional Derivatives and
Gradients; The Chain
Rule; Tangent Planes and
October 4-October 8
Sections 12.8, 12.9, 13.1
October 11-October 15
Fall Break
October 18-October 22
Sections 13.2, 13.3,
Second Exam
October 25-October 29
Sections 13.4, 13.5, 13.6
November 1-November 5
Sections 13.7, 13.8, 13.9
November 8-November 12
Sections 14.1, 14.2, 14.3
November 15-November
19
Sections 14.4, 14.5, 14.6
November 22-November
24
November 29-December
10
Section 14.7, Third Exam
TBA
Approximations.
Maxima and Minima; The
Method of Lagrange
Multipliers; Double
Integrals over Rectangles.
Personal Review
Iterated Integrals; Double
Integrals over NonRectangular Regions.
Double Integrals and Polar
Coordinates; Applications
of Double Integrals;
Surface Area.
Triple Integrals in
Cartesian Coordinates;
Triple Integrals in
Cylindrical and Spherical
Coordinates; Change of
Variables in Multiple
Integrals.
Vector Fields; Line
Integrals; Independence of
Path.
Green’s Theorem in the
Plane; Surface Integrals;
Gauss’s Divergence
Theorem.
Stokes’s Theorem
TBA
Important Dates:
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Last day to Drop Course: Wednesday, September 1.
Labor Day Holiday: Monday, September 6.
Tuition Due: Tuesday, September 7.
Fall Break: Mon.-Sat., October 11-16.
Last Day to Withdraw from Courses: Friday, October 22.
Thanksgiving Break: Thurs.-Fri., November 25-26.
Classes End: Friday, December 10.
Final Exam Period: Mon.-Fri., December 13-17.
Holiday Recess: Saturday December 18-Sunday January 9.
Grades Available: Tuesday December 28.
Exams:
If a student has a conflict with the times of exam administration due to University
sponsored events the student must contact me one week advance to inform me of the
conflict and to schedule a makeup of the exam. Under emergency circumstances (i.e.
hospitalization or death in the family) the student must provide me with verification of
the event in order to retake the examination. Without proper verification the student will
not be allowed to makeup the exam. Exams for this course will be given on the following
dates:
First Exam: September 24 (Friday) 350
Second Exam: October 22 (Friday)AEB 350
Third Exam: November 24 (Wednesday)AEB 350
Final Exam: December 14 (Tuesday) AEB 350
ADA Statement:
The University of Utah seeks to provide equal access to its programs, services and
activities for people with disabilities. If you will need accommodations in the class,
reasonable prior notice needs to be given to the Center for Disability Services, 162
Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to
make arrangements for accommodations.