Math 3298 Calculus III Syllabus

This page will be updated throughout the semester.

Homework     Worksheets     Labs     Resources

Instructor: Marshall Hampton

Office: 172 SCC

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

Telephone: 726-6329

Office hours: 12:45 - 2 M,T,W,F and by appointment.

Class homepage (this page): http://www.d.umn.edu/~mhampton/m3298s16.html

Lecture Times:

11 - 11:50 am, M,Tu,W,F (1/13 - 4/29), EduE 40

Lab Times:

11 - 11:50 A.M., Th (4/29), Kirby Plaza 143

Lab TA: Yang Wang.

Prerequisites: Math 1297 (Calculus II) or equivalent.

Student Conduct Code: see the full description at http://regents.umn.edu/sites/regents.umn.edu/files/policies/Student_Conduct_Code.pdf.

Textbook: Calculus, Early Transcendental Functions, 3/e, by James Stewart, any edition. Note: because the homework is given independently of the text, any edition is fine (particularly the 6th, 7th or 8th). Older editions can be much cheaper.

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 (2/24 and 3/30), and a final exam (Monday May 2nd, 2-4 pm). 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 four 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%, midterms: 15% each, final: 30%. If you do exceptionally well on the final exam it will be weighted more heavily.

Worksheets: We will do many in-class worksheets. Worksheets must be handed in as a group unless special arrangement is made.

W 1 Planes.
W 2 Quadrics.
W 3 Quadrics and spherical coordinates.
W 4 Arclength.
W 5 Curvature.
W 6 Limits in 2D.
W 7 Partial derivatives and linearization.
W 8 Directional derivatives.
W 9 Chain rule.
W 10 Maxima and minima (unonstrained).
W 11 Lagrange Multipliers.
W 12 Maxima and minima in a closed domain.
W 13 Review of curves and surfaces.
W 14 Double integrals.
W 15 More double integrals.
W 16 Polar integration.
W 17 Conversion to polar integration.
W 18 Center of mass.
W 19 Review I.
W 20 More review.
W 21 Triple integrals.
W 22 Spherical integration.
W 23 Changing coordinates in integration.
W 24 Cylindrical integration.
W 25 Vector line integrals.
W 26 Conservative vector fields and potentials.
W 27 Scalar line integrals.
W 28 Div, grad, curl.
W 29 Green's Theorem.
W 30 Scalar surface integrals.
W 31 2 3D integrals.
W 32 Vector line integrals.
W 33 More 3D integrals.
W 34 Surface flux integrals.
W 35 Stokes' theorem.
W 36 More Stokes and Green.
W 37 Divergence theorem.
W 38 Xavier and Yolanda: a probabilistic tragedy.
W 39 Newton's Method in 2D.
W 40 More Stokes and Divergence.
W 41 Line integral review.
W 42 Surface area.
W 43 Surface integral review.
W 44 Optimization review.
W 45 Directional derivative review.

Homework: 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 1/20).

Assignment 2 (due 1/27).

Assignment 3 (due 2/3).

Assignment 4 (due 2/10).

Assignment 5 (due 2/17).

Assignment 6 (due 3/2).

Assignment 7 (due 3/18).

Assignment 8 (due 3/25).

Assignment 9 (due 4/13).

Assignment 10 (due 4/20).



Labs:

We will use the computer algebra system Sage for our labs. Sage can be accessed through a browser at either http://sage.d.umn.edu:8008/ .

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.

Resources:
MIT Multivariable Calc. This has video lectures, practice exams, etc.
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.