Multivariable Calculus

Fall 2010

Attention former Math 2010 students!

If you are still interested in the Calculus Review packet

(limits, derivatives, and integration)
it is typed  and ready for you thanks to Mary Kleppe.

Click here to download the complete packet.

Sarah Glaz

(click on link and remove end x)

Office: MSB 202
: (860) 486 9153

Office Hours
: T, Th 1:45-2:45 and by appointment
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Tuesdays and Thursdays.

Class Meeting Times/Place

Tuesday, Thursday 11:00-12:15, Classroom  MSB 315
Monday 11:00-11:50,                 Classroom  MSB 415  


Textbook: Multivariable Calculus - Early Transcendentals, by James Stewart, 6th edition
(Note: We will not use the online homework system and you need not purchase access to it.)                

Course Description

This course extends the concepts learned in Calculus for functions in one variable to functions involving several variables. This includes the study of two and three dimensional vector algebra; limits, differentiation, and integration of functions of several variables; vector differential calculus; and line and surface integrals.


Homework will be assigned after every section, discussed in class on Mondays, collected on Tuesdays, and returned the following class. Solutions to selected homework exercises will be handed out at that time. For that reason, late homework will not usually be accepted. Homework assignments consist of individual practice exercises from the textbook (see Syllabus below) and occasional group projects. You are encouraged to work with other students in this class on all your homework assignments. Group projects, one report per group, will be graded for exam points. Textbook homework assignments, handed in individually, will not be graded, but will carry exam points (this will be explained in more details in class).

Calculator Policy

You will need to show your work on exams and homework assignments, but may use graphic calculators, in all cases, to double check your answers and save time on routine calculations. The recommended graphic calculator is TI83 (best value for the money) but others will do as well. Note that symbolic calculators, for example TI89, are not allowed on exams by the mathematics department calculator policy.

Other Technologies

No other technology is required for this course. However the material can be highly visual: curves and surfaces in 3D appear in various function and equation form throughout the course. The ability to see the geometric figures we learn about will enhance both your interest and your understanding of the material.  Below are two links to several free curve and surface drawing software. I invite you to explore:
Thanks to Tyler Murphy, below is a link to Khan Academy's Calculus site. Khan Academy is a free source of excellent videos on many subjects, including mathematics. Use them as a review of concepts, or when you had to miss a class and need additional help to catch up (come to me for help first!), or explore them for visual intuition into concepts, and just for plain fun:
Exam Schedule and Guidelines

There will be two in-class exams during the semester and a Final exam. None is strictly cumulative, but there will be overlap of material between the exams. NO MAKE-UP EXAMS unless there is a very serious emergency for which you provide proof. Quizzes will be given only if necessary.

Exam Schedule
Exam Guidelines
(a link to each exam guidelines will appear in the week before each exam)
Exam 1: Tuesday, October 5, in class             
Exam 1 Guidelines: Material and Review Suggestions
Exam 2: Tuesday, November 9, in class Exam 2 Guidelines: Material and Review Suggestions
Final Exam: Tuesday, December 14, 10:30-12:30, MSB 315
Final Exam Guidelines: Material and Review Suggestions

For help with location of the Final Exam Building click on The Campus Map. 
UConn Final Exam Policy.

Grading Policy

Homework, quizzes, and group projects about 10%. Each Exam (including the Final Exam) is of equal weight, that is, about 30%.

Extra Help: The Q Center

I encourage you to come to my office for help during office hours, and I will be happy to find other times when we can meet if my office hours schedule does not fit your schedule. However, there may be times when you need help and I am not available. A good source of extra help is the UConn Q Center. Check their website for hours and locations. In addition to drop-in free tutoring, the Q Center also maintains a list of private tutors.


The actual pace of the course and homework assignments may be slightly different than listed in the syllabus below. It will depend on the students' response to the material. Changes will appear on this webpage as they occur. Homework assignments will be given in class after every section. In addition to the sections' homework, there will be a number of group projects highlighting applications of the material.
Section and Topic
Homework Assignment

Week 1

12.1. Three dimensional space
12.2. Vectors
12.3  The dot product

page 769: 3,5,11,17
page 777-778: 7,13,19,23,24,38
page 784-785: 5,7,9,17,23,25
Group-work: Vectors
Week 2

12.3 The dot product (continuation)

No class: Monday, September 6 (Labor Day)
                and Thursday, September 9

Week 3

Review of limits and derivatives
12.4. The cross product
12.5. Lines and planes

Limits and derivatives review exercises (handout)
page 792-793:1,3,11,19,30
page 802-803: 2,7,17,20,25,33,35,51
Group-work: Lines and Planes
Week 4

Review of integration techniques
13.1  Vector functions
13.2. Calculus of vector functions
Integration review exercises (handout)
page 822-823: 5,15,27,37
page 828-829: 4,5,13,18,25,37,39

Week 5

14.1. Functions of several variables
14.2. Limits and continuity
Review for Exam 1
page 865-869: 5,6,8,23,45
page 877: 5,9,30,37
Group-work: Limits and Continuity
Week 6
14.3. Partial derivatives
Exam 1: Tuesday, October 5

page 888-890: 15,17,40,59

Week 7

14.5. The chain rule
14.6. Directional derivatives and the gradient
page 907-909: 3,7,13,22,47
page 920-922: 5,11,23,29,41,53

Week 8
14.7. Maximum and minimum
15.1. Double integrals over rectangles
page 930-932: 1,8,11,29,35
page 958-959: 11,12
Group-work: Extremes
Week 9

15.2. Iterated integrals
15.3. Double integrals over general regions
page 964-965: 7,9,19,25,29
page 972-973: 1,9,19,39,45,58

Week 10

15.4. Double integrals in polar coordinates
15.6. Triple integrals
Review for Exam 2
page 978-979: 5,9,15,21,29
page 998-999: 3,13,14,19
Group-work: Double Integrals
Week 11

15.7. Triple integrals in cylindrical coordinates
Exam 2: Tuesday, November 9

page 1004: 3,7,11,17,21

Week 12

15.8. Triple integrals in spherical coordinates
16.1 + 16.3. Vector fields
page 1010-1011: 1,3,7,13,21
page 1031: 21; page 1053: 4,7
Group-work: Triple Integrals
Thanksgiving, Sunday, 11/21 - Saturday, 11/27

Relax and have fun!
Week 13

16.2. Line integrals
16.3. The fundamental theorem of line integrals
page 1043-1045: 5,7,21,32(a)
page 1053-1054: 13,19
Group-work: Line Integrals
Week 14

16.4. Green Theorem
16.5. Curl and divergence (if time permits)
Review for Final Exam
page 1060-1061: 1,5,7,11
page 1068: 3,5,15,19

Final Exam
Final Exam:Tuesday, December 14, 10:30-12:30, MSB 315
Extra office hours before the final exam: Monday, December 13, 5:00-6:00

Academic Integrity

A fundamental tenet of all educational institutions is academic honesty; academic work depends upon respect for and acknowledgment of the research and ideas of others. Misrepresenting someone else's work as one's own is a serious offense in any academic setting and it will not be condoned. Academic misconduct includes, but is not limited to, providing or receiving assistance in a manner not authorized by the instructor in the creation of work to be submitted for academic evaluation (e.g. papers, projects, and examinations); any attempt to influence improperly (e.g. bribery, threats)any member of the faculty, staff, or administration of the University in any matter pertaining to academics or research; presenting, as one's own,the ideas or words of another for academic evaluation; doing unauthorized academic work for which another person will receive credit or be evaluated; and presenting the same or substantially the same papers or projects in two or more courses without the explicit permission of the instructors involved. A student who knowingly assists another student in committing an act of academic misconduct shall be equally accountable for the violation, and shall be subject to the sanctions and other remedies described in The Student Code.

Student Support Services

green divider

This page is maintained by Sarah Glaz pooh                  
Last modified: Fall 2010