Math 3298 Calculus III Syllabus

This page will be updated throughout the semester.

Homework     Labs     Resources

Instructor: Marshall Hampton

Office: 172 SCC

Email: mhampton at d.umn.edu (preferred contact method)

Telephone: 726-6329

Office hours: M,Tu,W,F 11:30 - 12:45 or by appointment.

Class homepage (this page): http://www.d.umn.edu/~mhampton/m3298s12.html

Lecture Times:

Lec 003: 1 - 1:50 pm, M, Tu, W, F, in EduE 32.

Lab Times:

Th in MonH 209, 1 - 1:50 (section 004).

Lab TAs: Ji Wang, office hours TBA.

Prerequisites: Math 1297 (Calculus II) or equivalent.

Student Conduct Code: see the full description at http://www.d.umn.edu/assl/conduct/code/.

Textbook: Calculus, Early Transcendental Functions, 3/e, by James Stewart, 6th edition. ISBN: 978-0495011668. Note: because the homework is given independently of the text, it is not essential that you have this edition. You could even make do with a calculus text by another author, although the material might be ordered and presented somewhat differently.

Topics: This course will extend your knowledge of calculus to higher dimensions. We will cover chapters 12-16 from the text.

Exams: There will be two midterms (Wednesday, February 29th and Wednesday, April 4th) and a final exam (8-10 am on Monday, May 7th). In case of a documented illness or valid University excuse (given in advance!), other exams will be used to interpolate for grading. A calculator and sheet of notes is allowed on each exam (2 sheets are allowed for the final exam).

Practice Midterm 1
Practice Midterm 1 Solutions
Practice Midterm 2
Practice Midterm 2 Solutions
Practice Final Exam
Practice Final Exam Solutions

Calculator Policy: Calculators are allowed during exams. However, you are expected to show the steps that justify your answers, and to give exact answers whenever possible. This also applies to homework unless the question specifically instructs you to use a computer or calculator. Any step on which you use a calculator must be clearly indicated (just write "CALC").

Grading: The homework assignments will be weighted equally, with the lowest score dropped. The lowest lab and the two lowest worksheet scores are also dropped. Grades will be assigned on a curve. The approximate weighting is homework: 15%, labs: 10%, worksheets/in-class: 10%, midterms (two): 20% each, final: 25%. If you do exceptionally well on the final exam it will be weighted more heavily.

Worksheets: Occaisonally we will do some in-class worksheets. These will also be posted here in case you do not attend that class.

W 1 Planes.
W 2 Quadric surfaces.
W 3 Osculating circles.
W 4 Continuity of functions of two variables.
W 5 Linearizations.
W 6 Directional derivatives.
W 7 Critical points and local maxima and minima.
W 8 Maxima and minima with Lagrange multipliers.
W 9 Review of curves and surfaces.
W 10 Review of curvature, TNB frame.
W 11 Maxima and minima review.
W 12 Double integrals.
W 13 More double integrals.
W 14 Double integrals in polar coordinates.
W 15 Still more double integrals.
W 16 Triple integrals in spherical coordinates.
W 17 Changing coordinates in multiple integrals.
W 18 Triple integrals in spherical coordinates.
W 19 Scalar and vector line integrals.
W 20 Conservative vector fields and line integrals.
W 21 Green’s Theorem and curl.
W 22 Surface area and surface integrals.
W 23 More scalar surface integrals.
W 24 Surface flux (vector) integrals.

Homework: Some problems are graded in depth, others are only briefly checked. Late homework is not accepted without previous arrangement.

Your answers should be kept in exact symbolic form as much as possible. It may be impossible to evaluate all integrals symbolically, in which case you should simplify as much as possible and then evaluate the answer to at least 2 correct digits.

Assignment 1 (due Wednesday, January 25th).
Assignment 2 (due Wednesday, February 1st).
Assignment 3 (due Wednesday, February 8th).
Assignment 4 (due Wednesday, February 15th).
Assignment 5 (due Wednesday, February 22nd).
Assignment 6 (due Wednesday, March 21st).
Assignment 7 (due Wednesday, March 28th).
Assignment 8 (due Wednesday, April 11th).
Assignment 9 (due Wednesday, April 18th).
Assignment 10 (due Wednesday, April 25th).
Assignment 11 (due Wednesday, May 2nd).


Labs:

We will use the computer algebra system Sage for our labs. Sage can be accessed through a browser at either https://rigel.d.umn.edu:8000/ or https://rudolph.d.umn.edu:8000/. You can access that off campus if you are on a VPN connection (see this for how to get on a VPN). If for some reason the server is down, you can also use the worldwide accessible server here although you would have to upload your previous work to it.

Help on Sage: The first two sections of the 'constructions' document (available live from the 'Help' link on a worksheet, or statically here) are especially useful for this course, as are the first few sections of the reference manual. Sage is based on the popular programming language Python; if you want a better understanding of python a good place to start is its official tutorial. A variety of other documentation is available here.

Lab 1 (due 1/26) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 2 (due 2/9) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 3 (due 2/16) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 4 (due 2/23) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 5 (due 3/8) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 6 (due 4/5) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 7 (due 4/19) online published Sage version on rigel server, online published Sage version on rudolph server.

Lab 8 (due 5/3) online published Sage version on rigel server, online published Sage version on rudolph server.

Resources:
MIT Multivariable Calc. This has video lectures, practice exams, etc.
Khan Academy. These videos are 15 minutes or less and focus on one topic at a time.
Free multivariable calculus book by Michael Corral .

Policy statement: The University of Minnesota is committed to the policy that all persons shall have equal access to its programs, facilities, and employment without regard to race, religion, color, sex, national origin, handicap, age, veteran status, or sexual orientation.

Disabilities: An individual who has a disability, either permanent or temporary, which might affect his/her ability to perform in this class should contact the instructor as soon as possible so that he can adapt methods, materials and/or tests as needed to provide for equitable participation.