Math 2210-003: Multivariate Calculus, CRN 41367
Fall 2009, MW (3 credits)
5:00 pm – 7:20 pm, SI 060
Instructor: Kyle Costello
Office location: SI 024
Office phone: 801-957-4691
Consultation: MW from 12:00 pm – 2:00 pm and by appointment
My Math Homepage url: http://rwdacad01.slcc.edu/academics/dept/math/kcostello/costello.htm
Math Department Homepage url: http://www.slcc.edu/math/
Course materials, e.g., syllabi, homework exercise lists, my class schedule, and other items relating to your
math class can be accessed from my math homepage above. Standardized course materials relating to your
math classes can be accessed from the math homepage above.
SLCC is committed to fostering and assessing the following student learning outcomes in its programs
Acquiring substantive knowledge in the field of their choice
Developing quantitative literacy’s
Developing the knowledge and skills to be civically engaged
Prerequisite: Within the last year, you must have completed a Calculus II course, i.e. Math 1220, with a C or
Required Text: Thomas’ Calculus; Early Transcendentals (11th edition), by Weir, Hass, and Giordano.
Course Objectives: This course generalizes the differential and integral calculus learned in M1210 and
M1220, i.e., Calculus I and II, respectively, from functions of a single variable to functions of two or more
variables; hence, the name “Multivariate Calculus.” Topics include vectors, limits, continuity, partial and
directional derivatives, double, triple, iterated, and line integrals, Fubini’s, Green’s, and Stokes’ Theorems.
Homework: Problems are assigned for each section covered in the text (see the syllabus below). These
written homework problems will be collected and graded. Each homework set will be due in class the day of
the relevant exam, including the final exam. No homework assignment will be dropped. Practice is crucial
for the mastery of calculus. Keep up with the assignments and be prepared to ask questions on homework in
class. You will not be allowed to make-up missed homework assignments. You should be prepared to spend
at least two hours studying outside of class for each one hour of class time, as is standard.
MyMathLab: Students in my classes are not required to use MyMathLab. In fact, at this level, it is
Exams: You will have three regular exams (50 minutes each) and a final exam (2 hours). All exams after the
first one will be on a cumulative basis. Your lowest regular exam score will be dropped from your final
course grade. Absence from an exam will count as a zero or as the exam to be dropped. Your absence will be
excused only if you can provide verifiable and convincing evidence, e.g., a doctor’s note, that you have a
significant illness or serious family crisis that will prevent you from attending; a pre-planned vacation is not
excused. Except under extremely unusual circumstances, you must inform me in advance to missing an
exam and you are expected to promptly make arrangements with me to make-up the exam. You must bring a
valid ID to each exam. The exam schedule is:
Exam 1 Wednesday, September 23rd
Exam 2 Wednesday, October 21st
Exam 3 Wednesday, November 18th
Final Exam Monday, December 14th, 5:45 pm – 7:45 pm in SI 060
(The final is non-departmental, but is comprehensive.)
Grading: Your grade will be computed (weighted) as follows.
Homework 25% of final grade
Exams 50% of final grade (two exams after dropping one, 25% each exam)
Final Exam 25% of final grade
Note: Taking the final exam is NOT an option. Students should make arrangements with employers now to
be free at the appointed time. The final exam will be a comprehensive examination emphasizing material
occurring after the last regular exam, i.e., exam 4. It is the policy of the SLCC Math Department that students
attaining a score of less than 50% on the final examination shall receive a grade no higher than “D” for the
The grading scale is: A 94 – 100 % C 73 – 76.9 %
A- 90 – 93.9 % C- 70 – 72.9 %
B+ 87 – 89.9 % D+ 67 – 69.9 %
B 83 – 86.9 % D 63 – 66.9 %
B- 80 – 82.9 % D- 60 – 62.9 %
C+ 77 – 79.9 % E 0 – 59.9 %
In case of human or computer error, it is strongly suggested that students keep all homework and exams in a
folder until you have received a final grade for the course.
The minimum penalty for cheating is to receive no credit for the assignment.
Calculators: You will need a scientific calculator for this course, i.e., one that does exponents, logarithms,
sine and cosine, etc, merely to assist in computations. You will not necessarily need a graphing calculator or
access to a CAS (computer algebra system), e.g., Maple 10, though they can be very useful to check graphs,
find derivatives at a point, and find areas under curves, etc. Graphing calculators are primarily used to
demonstrate concepts and facilitate problem solving. They are not a substitute for learning concepts or
symbolic manipulations. Graphing calculators will be allowed on all exams, however, basic facts are important for
you to know. While some homework assignments may require the use of a graphing calculator or a CAS,
questions on in-class exams will test basic facts that must be understood and memorized. Full credit will not
be given on exams unless exact answers are justified by correct steps written in a legible and logical
Note: It is now a departmental policy that any calculator with a computer algebra system will not be
allowed on any in-class quizzes, exams, or final exams. Prohibited calculators include the TI89, TI92, TI-
Nspire, HP 48SX, HP 48GX, as well as other models and brands. Students may use any calculator and/or
computer software (e.g. Maple) on homework or projects.
In addition, a cell phone may not be used as a calculator on any in-class quiz, exam, or on the final exam.
Help in learning to use a graphing calculator (and some math software) is available in the math labs, which
are located in SI 092 at Redwood, and W285 and N308 at South City Campus. There is also “TI Graphing
Calculator Help ” linked to the department’s web page; click on “Resources for Student Success”. In
addition, your textbook has a graphing utilities appendix.
Attendance and Classroom Deportment: Attendance is expected though not required. Typically, regular
attendance is essential to achieve satisfactory results. It will be your responsibility to learn any information
you miss due to your absence. You will be held responsible for announcements made in class. Also, each
student is responsible for their own behavior. Any student who shows a pattern of disrespect for others, or
who at any time displays egregious disrespect for others, will be subject to penalties as per the student code
Holidays: Labor Day Monday, September 7th; Fall Break, Thursday October 1st and Friday, October 2nd;
Thanksgiving Day, Thursday, November 26th and Friday, November 27th.
Withdrawal Policy: The last day to drop classes with 100% refund is September 16th. The last day to
withdraw (with no refund) from courses is October 30th.
Incomplete Policy: The grade of Incomplete is given only in certain cases. Typically, an incomplete is given
if the student needs extra time to complete a limited portion of the course, e.g., the final exam, due to some
good reason, e.g., being in the hospital. Incompletes are not given to repeat the entire course.
ADA Statement: The Americans with Disabilities Act requires that reasonable accommodations be provided
for students with physical, sensory, cognitive, systemic, learning, and psychiatric disabilities. Students with
disabilities needing accommodations should contact the Disability Resource Center (DRC) in SC 244, 957-4659
(voice) or 957-4646 (TTY).
Extra help: Free tutoring and help in learning to use a graphing calculator and the lab software Maple are
available in the Math Lab, which is located in SI 092 (next door). The text and full solution manuals should be
available there. Also, there is a “TI Graphing Calculator Help” link at the department’s web page:
www.slcc.edu/math; click on “Resources for Student Success.”