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: Mon., Tues., and Weds. 1-2, Thurs. 11-12, or by appointment.

Class homepage: http://www.d.umn.edu/~mhampton/m3298f9.html

Lecture Times:

Lec 001: 10 - 10:50 am, M, Tu, W, F, in EduE 50.

Lec 005: 2 - 2:50 pm, M, Tu, W, F, in EduE 16.

Lab Times:

Th in MonH 209. (10-10:50 am for Lab 002, 2-2:50 pm for Lab 006.)

Lab TAs: Changmig Xia (10 am lab, email xiaxx061) and Hongbo Lin (2 pm lab, email linxx622). TA Office hours: Tues 1-2, Weds 11-12, Thurs 1-2. (Changming), SCC 174.

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 13-16 from the text.

Exams: There will be two midterms (Oct 14th and Nov 18th) and a final exam (Saturday, Dec. 19, 12-2 for the 10am/001 class; Thursday, Dec. 17, 12-22 for the 2pm/005 class). 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.

Practice midterm 1 exam . Practice midterm 1 exam solutions.

Practice midterm 2 exam . Practice midterm 2 exam solutions. Exam topics are: multivariate integration in Cartesian, polar, cylindrical, and spherical coordinates, change of variables in multiple integration, scalar and vector line integrals, and computing potential functions of a vector field.

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 "CALCULATOR").

Grading: The homework assignments will be weighted equally, with the lowest score dropped. The lowest lab and quiz scores are also dropped. Grades will be assigned on a curve. The approximate weighting is homework: 15%, labs: 10%, worksheets/in-class: 5%, midterms (two): 20% each, final: 30%. If you do exceptionally well in some areas, these may be weighted more.

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

Worksheet 1 (continuity of 2D scalar functions).
Worksheet 2 (multivariate chain rule).
Worksheet 3 (max/min problems).
Worksheet 4 Double integrals.
Worksheet 5 More double integrals.
Worksheet 6 Change of variables in 2D.
Worksheet 7 Triple integrals in spherical coordinates.
Worksheet 8 Line integrals.
Worksheet 9 Conservative vector fields and potential functions.
Worksheet 10 Green's Theorem and curl and divergence.

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 F 9/11).
Assignment 2 (due F 9/18).
Assignment 3 (due F 9/25).
Assignment 4 (due F 10/2).
Assignment 5 (due F 10/9).
Assignment 6 (due F 10/22).
Assignment 7 (due M 11/2).
Extra Credit 1 (due M 11/30).
Assignment 8 (due Tu 11/10).
Assignment 9 (due Tu 11/17).
Assignment 10 (due Tu 12/1).


Labs: For our labs you have a choice between Mathematica and Sage. Mathematica is installed in all "full access" labs, and is also available from the bookstore. Sage can be obtained from the Sage homepage. To install on Windows you will also need a VMWare player installed (which is also free). A Sage server is available at https://rudolph.d.umn.edu:8000 (you just need to choose a username and password) or at http://www.sagenb.org.

Lab 1 Mathematica,       Lab 1 Sage   due 9/17.
Lab 2 Mathematica,       Lab 2 Sage   due 9/24.
Lab 3 Mathematica,       Lab 3 Sage   due 10/1.
Lab 4 Mathematica,       Lab 4 Sage   Sage published version  due 10/8.
Lab 5 Mathematica,       Lab 5 Sage   Sage published version  due 10/15.
Lab 6 Mathematica,       Lab 6 Sage   Sage published version  due 10/22.
Lab 7 Mathematica,       Lab 7 Sage   Sage published version  due 10/29.
Lab 8 Mathematica,       Lab 8 Sage   Sage published version  due 11/12.
Lab 9 Mathematica,       Lab 9 Sage   Sage published version  due 11/19. Vector field plots for this lab are here.
Lab 10 Mathematica,       Lab 10 Sage   due 12/3.

Your lab reports should conform to the "Minimum Standard Requirements For Mathematics and Statistics Homework/Lab Assignments" handout. A printout of a mathematica notebook or Sage worksheet is only acceptable if it is carefully organized and formatted - clearly indicate the answers to each question.

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.