MAT 203: Calculus III with Applications

Fall 07

Welcome to MAT 203.

This is a course in multi-dimensional or multi-variable calculus. We cover the basic tools and ideas 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.


Please look here for relevant announcements, e.g. exam times, rooms, etc.


Time: Friday, Dec 21, 2:00 - 4:30 pm.
Place: Javits 109

Practice Final

Here is a PDF file of a MAT 203 final from a few years ago. The final for this class will be similar, but without any problems on surface or flux integrals or Stokes' Theorem.

The exam covers the material we did in class, up to and including Chapter 15.4. The exam will cover the full semester, but with a strong emphasis on material covered after the Midterm.

Schedule and HW.

Because of the schedule twists, this class will have no recitation sessions next week Nov 19-21. Instead, we have an extra lecture on Wednesday, Nov 21, usual time and place. The homework due that week should either be handed in during class on Wednesday, or put in the envelope on either Yusuf's office door (Math 2-116) or my office door (Math 4-101A) before 3pm on Wednesday, Nov 21.

MIDTERM EXAM, in class on Monday, October 22, 12:50-2:10. You must bring your Stony Brook ID, and should definitely be ontime to start.

DSS Students must take the exam at DSS Offices during the same time as above.

Material on Exam: Chapters 11 - 13.6 inclusive, with the following modifications. 11.7: Only cylindrical coordinates, 12.4: Only p.857-860, 12.5: Only arclength, 13.5: Skip this section

Practice Midterm:

Here is a PDF file of a MAT 205 midterm from a few years ago. The midterm for this class will have similar problems, but will probably be a bit more difficult. These problems are all quite "easy". Your exam will be longer, and have at least 1 and maybe 2 more challenging problems. Nevertheless, if you can do well on this practice test, you'll probably be at least OK on the actual midterm.

HW Solutions now available at this link.

Course webpage:

Course instructor

Lecture 1: Michael Anderson (course coordinator), Office: Math Tower 4-100A. Telephone: 632-8269.
Office hours: Tu/W/Th 1:00-2:00pm.

Recitation instructor

Recitations 1,2: Yusuf Mustopa, Office: Math Tower 2-116.
Office hours: Mon, 12-2pm in Math 2-116, Tues, 2-4pm in the Math Learning Center.


Lec 1 M,F 12:50pm-2:10pm Physics P113 Anderson
Rec 1 W 10:40am-11:35am Library N3063 Mustopa
Rec 2 Tu 11:20pm-12:15am Physics P117 Mustopa


Multivariable Calculus, 8th edition, by Ron Larson, Robert Hostetler, Bruce Edwards, Houghton Mifflin Co.


You will benefit quite a bit if you read the corresponding sections of the text before attending each lecture. Even if you do this for just 15 minutes or so, you'll notice the difference.

Problem sets will be assigned weekly; check this webpage for the assignments. Each homework set is due at the beginning of your 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 (Anderson) there will be one midterm exam in class on Monday, October 22. The final exam is on Friday, December 21 from 2:00pm to 4:30pm. 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.


The following is the outline of topics covered in the course; it is subject to change as the semester progresses.

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

Each homework assignment is graded on a 100-point scale. 3 problems (not necessarily the three most difficult) are graded fully, and are worth 20 points each. All work must be shown for full credit. The remaining 40 points are earned by solid attempts (as opposed to, say, writing "I don't know" or leaving a blank) at solving the remaining problems. Each remaining problem which is unattempted incurs a penalty of 2 points. Homework must be handed in within the first 5 minutes of recitation. Without exception, assignments handed in during recitation after the first 5 minutes have passed lose 5 points, and assignments handed in after recitation and before 2:00pm the same day lose 15 points.

For HW solutions, see the link at the beginning of the webpage.

Week Topic Notes Homework
9/4-9/7 11.1-11.2   11.1:1,4,10,14,23,30,42,48 11.2:4,6,7,38,53
9/10-9/14 11.3-11.4 No class Friday 11.3:3,8,12,14,16,24,26,48,50,71(a)
9/17-9/21 11.5-11.7   11.4:4,8,16,32,35,54 11.5:6,12,40,50,62,90,96 11.6:1-6,10,14,50 11.7:4,10,16,24
9/24-9/28 12.1-12.2   12.1:2,12,16,36,50,68,70 12.2:10,14,22,54,62,72
10/1-10/5 12.3-12.5   12.3:10,15,20,27 12.4:13,28,85 12.5:10,12,19
10/8-10/12 13.1-13.3   13.1:10,24,36,37,45-48,52 13.2:16,20,27 13.3:10,26,38,40,54,64
10/15-10/19 13.4-13.6   No HW due next week. Study for Midterm
10/22-10/26 13.7   Midterm: Monday 13.5:4,10,16,20,36 13.6:2,8,10,24,28,38,40,45,46,60 13.7:10,16,26,30
10/29-11/2 13.8-13.9   13.8:22,26,32,54,60 13.9:6,8,10,15,18 13.10:6,8,14
11/5-11/9 13.10, 14.1   14.1:12,18,24,36,56, 62 14.2:16,26,28,38 14.3:6,12,18,28
11/12-11/16 14.2-14.5 Just a few problems! 14.4:4,14 14.5:4,10,16,38
11/19-11/23 14.6-15.1 Extra Wed. class No HW week after Thksgiv!
11/26-11/30 15.1-15.2/3   15.1:1-6,14,24,30,32,38, 42,46,56,60 15.2:10,14,26,28,36,38
12/3-12/7 15.3-15.4   15.3:2,12,16,19,36,38 15.4:1-4,8,10,12,18,27
12/10-12/14 Topics in 15.5-15.8 No more HW