MAT 203: Calculus III with applications C

Welcome to MAT 203.

This is a course in multi-dimensional calculus. We cover essential tools such as: partial deriviatives of functions of two and three variables; maximizing and minimizing functions of two variables; Lagrange multipliers; integrating functions of two and three variables; line integrals; Green's Theorem.


Final examination: the final exam will take place in room W0512 of the Library Alliance Room (in basement of main) library, from 11:00am to 1:30pm on Friday December 22. The focus of the final will be on the material we have covered since the midterm. To prepare for the final exam you should do the problems in the following "review for final exam", as well as go over the homework problems and the midterm problems.

solutions to review problems

Course instructor

Lecture 1: Lowell Jones (course coordinator), Office: Math Tower 2-111. Telephone: 632-8248.
Office hours: MWF 11:00am-12:00pm.

Recitation instructor

Recitations 1,2: Andrew Stimpson, Office: Math Tower 3-101.
Office hours: Wed 2:00pm-3:00pm (in office), Mond 6:00pm-7:00pm (in Math Learning Center) and Wed 4:30pm-5:30pm (in Math Learning Center).


Lec 1 M,F 12:50pm-2:10pm Physics P113 Jones
Rec 1 W 10:40am-11:35am Physics P117 Stimpson
Rec 2 Tu 11:20pm-12:15am Physics P117 Stimpson


Multivariable Calculus, eighth edition, by Ron Larson, Robert Hostetler, Bruce Edwards


You should read the corresponding section of the text before attending each lecture.

Problem sets will be assigned weekly; check this webpage for the assigments. Each homework set is due at the beginning of a student's recitation period the following week. Note that the odd-numbered problems have answers in the back of the book. You should nonetheless try and solve these problems without recourse to the answer key, and should write the problem up carefully in your own words even if you have consulted the book for the final answer: always show your work.

It is OK to discuss homework problems with other students. However, each student must write up the homework individually in his/her own words, rather than merely copying someone else's.


For Lecture 1 (Jones) there will be one midterm in class on October 30; and the final exam is on December 22 from 11:00am to 1:30pm.

For Lecture 2 (Crispino) there will be one midterm in class on October 31; and the final exam is on December 21 from 5:00pm to 7:30pm.

Make certain that you will be available at these times, as there will be no scheduled make-ups for these tests.

Please note that makeup exams are only given for unforseeable circumstances beyond the student's control. In particular, schedule conflicts are not an acceptable reason: please let your lecturer know about any schedule conflicts as soon as possible. You must have your ID to be admitted to the exams.

Calculators of any kind will not be permitted in exams. The problems will require pencil, paper and reasoning only.


30% Homework
30% Midterm 1
40% Final Exam


A very useful resource is the Math Learning Center (MLC) located in room S240-A of the mathematics building basement. The Math Learning Center is open M,Tu,Wed from 10:00am to 9:00pm, on Thur from 10:00am to 6:00pm, and on Fri from 10:00am to 2:00pm.

Another useful resource are your teachers, whose office hours are listed above.


If you have a physical, psychological, medical or learning disability that may impact on your ability to carry out assigned course work, please contact the staff in the Disabled Student Services office (DSS), Room 133 Humanities, 632-6748/TDD. DSS will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential.


All homework assigments are due at the beginning of your recitation class of the week following the week in which they are assigned.

Week Topic Notes Homework
9/4-9/8 11.1-11.2   11.1:1,4,10,14,23,29,41,49 11.2:3,6,7,38,53
9/11-9/15 11.3-11.5   11.3:3,8,15,18,23,26,49,50,73 11.4:4,5,9,16,32,35,54 11.5:6,11,17,26,38,49,62,90,96
9/18-9/22 11.6,12.1-12.2   in 12.2 cover only differentiation 11.6:1-6,10,13,14,41,45,49 12.1:2,11,13,34,36,50,68,70,89 12.2:10,13,22,23,39
9/25-9/29 12.2-12.4   in 12.2 cover only integration 12.2:54,61,64,75,79 12.3:10,15,19,27 12.4:13,28,40,45-48,88,89
10/2-10/6 12.5,13.1   12.5:10,11 13.1:9,18,36,37,52,70,71
10/9-10/13 13.2-13.4   13.2:5,6,16,17,33,42 13.3:2,6,9,19,27,37,40,55 13.4:1,10,16,17,18,25,33
10/16-10/20 13.5,13.6   13.5:4,10,11,15,20,24,37 13.6:3,7,10,21,24,26,38,40,44, 45,55,60
10/23-10/27 13.7,13.8   13.7:1,2,10,19,31,34 13.8:21,22,23,32,33,45,47,56,58
11/6-11/10 13.9,13.10   13.9:5,8,10,15,17 13.10:5,9,14,16,17,33,41
11/13-11/17 14.1,14.2   14.1:11,18,24,36,44,55,56 14.2:1,3,11,12,16,20,25,28,50, 55
11/20-11/24 14.3   Thanksgiving break, no Friday class 14.3:5,6,7,8,18,19,20,22,28, 34,40,61
11/27-12/1 14.4,14.6   we cover only center of mass in 14.4 14.4:4,7,8,18,22 14.6:7,15,24,36,37
12/4-12/8 15.1,15.2   15.1:1-6,13,14,23,29,32,38, 41,43,56,60 15.2:10,13,23,31,32,35
12/11-12/15 15.3,15.4   we also meet on Wednesday of this week, usual time and place 15.3:1,11,16,19,35,38 15.4:1-4,7,10,18,19