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. 1-4, Wed 1-2, Tues. 1-2, or by appointment.

Class homepage: http://www.d.umn.edu/~mhampton/m3298f8.html

Lecture Times: 12:00 - 12:50, M,Tu,W,F, Engr 177.

Lab Times: 12:00 - 12:50 Th in MonH 209.

Lab TA: Wei Zhang. Office: SCC 115. Office hours: Mon. 3-4, Tues. 2-4.

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, Late Transcendental Functions, 3/e, by Smith and Minton ISBN: 0073406066. It may be possible to buy just the multivariable part of the text, but I am not sure if that includes all the chapters we will use.

Topics: This course will extend your knowledge of calculus to higher dimensions. We will cover chapters 10-15 from the text (chapter 11 is considered review).

Exams: There will be two midterms (Oct 15th and Nov 19th) and a final exam (Dec 19th, 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.

Practice midterm 1 exam , Practice midterm 1 exam solutions

Practice midterm 2 problems , Practice midterm 2 problem solutions .

Practice final exam. Practice final solutions. For the final exam you are allowed 3 pages of notes.

Surface worksheet 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 "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.

Homework: Depending on the length of the assignment, not all problems may be graded. Late homework is not accepted without previous arrangement.

Assignment 1 (due M 9/8):
10.1: 2, 4, 8, 24, 25-30.
10.2: 2, 12, 16, 21, 41.
10.1 page 1     10.1 page 2    10.2 page 1    10.1 page 2

Assignment 2 (due M 9/15):
10.3: 2, 12, 29.
For 10.3 #2 you want the arclength of the entire curve (t from 0 to 2*pi).
10.4: 4, 8, 24, 26, 48, 57.
10.5: 1, 16, 26, 38, 49.
Assignment 3 (due Tu 9/23):
10.6: 1, 5, 24, 44.
10.7: 23, 25.
11.3: 31.
11.4: 2, 12, 43, 44, 54.
11.5: 4, 18, 22, 24.
12.1: 32.
12.2: 42.
12.4: 4.
Assignment 4 (due Tu 9/30):
12.5: 2, 22, 41, 42, 44.
12.6: 13, 18, 23.
13.1: 2, 47, 49.
13.2: 10, 26.
13.3: 4, 6, 14, 34, 60, 63.
Assignment 5 (due Tu 10/7):
13.4: 2, 10, 40, 46.
13.5: 8, 12, 26, 28, 35, 41.
13.6: 2, 8, 12, 24, 28, 42.
Assignment 6 (due Tu 10/14):
13.7: 2, 4, 10, 27, 28, 36, 40, 54.
13.8: 6, 25, 33, 46, 49. Also: maximize the function f = x^a y^b z^c for positive (x,y,z) on the constraint x+y+z=1. (a,b, and c are positive constants.)
Assignment 7 (due W 10/22):
14.1: 2, 6, 8, 16, 26, 35, 38, 46, 67, 73.
Assignment 8 (due Tu 10/28):
14.2: 2, 8, 24, 44.
14.3: 8, 10, 28, 40, 52.
14.4: 6, 8, 14.
Assignment 9 (due Tu 11/4):
14.4: 32.
14.5: 2, 8, 20, 30, 38, 42. Extra credit: 50.
14.6: 10, 20, 26, 34, 38, 49.
Assignment 10 (due Tu 11/11):
14.7: 2, 8, 16, 34, 43, 56.
14.8: 2, 6, 26, 32.
Extra credit peg problem.
Assignment 11 (due Tu 11/18):
15.1: 12, 24, 33, 38, 46.
15.2: 3, 14, 27, 30, 40, 62.
15.3: 2, 9, 10, 13, 34, 38, 51.
Assignment 12 (due Tu 12/2):
15.4: 2, 5, 8, 23, 27, 28, 39.
15.5: 3, 28, 42, 60, 62.
15.6: 4, 6, 17, 24, 31.
Assignment 13 (due Tu 12/9):
15.6: 38, 42, 46, 64.
15.7: 2, 3, 8, 16.
15.8: 3, 7, 16, 31.


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). Sage will also be made available online on two servers (details were given in an email).

Lab 1 Mathematica,       Lab 1 Sage
Lab 2 Mathematica,       Lab 2 Sage
Lab 3 Mathematica,       Lab 3 Sage
Lab 4 Mathematica,       Lab 4 Sage
Lab 5 Mathematica,       Lab 5 Sage . These are due October 16th.
Lab 6 Mathematica,       Lab 6 Sage . These are due October 23rd.
Lab 7 Mathematica,       Lab 7 Sage. These are due October 30th.
Lab 8 Mathematica,       Lab 8 Sage. Due November 6th.
Lab 9 Mathematica,       Lab 9 Sage. Due November 13th.
Lab 10 Mathematica,       Lab 10 Sage. Due November 20th.
Lab 11 Mathematica. Due December 4th.

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 .

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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.