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 (preferred contact method)

Telephone: 726-6329

Office hours: 11-12 M-Th, and by appointment.

Class homepage (this page):

Lecture Times:

9:30 A.M. - 11:05 A.M., M,Tu,W,Th (05/19/2014 - 07/04/2014), EduE 20

Lab Times: 9:30 A.M. - 11:50 A.M., F (05/19/2014 - 07/04/2014) , MonH 209

Lab TA: TBA.

Prerequisites: Math 1297 (Calculus II) or equivalent.

Student Conduct Code: see the full description at

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 slightly 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 a midterm (6/10) and a final exam (date and time TBA). 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
Practice Midterm Solutions
Practice Final Exam questions
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: 15%, midterm: 25% each, final: 35%. 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 Quadrics.
W 3 Space curves.
W 4 Limits of multivariate functions.
W 5 Partial derivatives and linearization.
W 6 Chain rule and directional derivatives.
W 7 Extreme of multivariate functions (unconstrained).
W 8 Lagrange multipliers.
W 9 Maxima and minima.
W 10 Double integrals (numerical).
W 11 Double integrals.
W 12 Review.
W 13
W 14
W 15
W 16
W 17
W 18
W 19
W 20
W 21
W 22
W 23
W 24

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 Friday, May 23rd).

Assignment 2 (due Friday, May 30th).

Assignment 3 (due Friday, June 6th).

Assignment 4 (due Friday, June 20th).

Assignment 5 (due Friday, June 27th).


We will use the computer algebra system Sage for our labs. Sage can be accessed through a browser at either or 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 6/6) online published Sage version on UMD Sage server, online published Sage version on rudolph server.

Lab 2 (due 6/13) online published Sage version on UMD Sage server, online published Sage version on rudolph server.

Lab 3 (due 6/20) online published Sage version on UMD Sage server, online published Sage version on rudolph server.

Lab 4 (due 6/27) online published Sage version on UMD Sage server, online published Sage version on rudolph server.

Lab 5 (due 7/3) online published Sage version on UMD Sage server, online published Sage version on rudolph server.

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.