© Dr. J. Tavakoli. Not to be copied, used, or revised without express written permission from the copyright owner.
THE UNIVERSITY OF BRITISH COLUMBIA OKANAGAN
MATH 317 – Calculus IV
COURSE OUTLINE
Winter 2012 Term 2
Lecture Schedule:
Instructor:
Office Hours:
TF 14:00 – 15:30 Art 214
Dr. Javad Tavakoli
Office: SCI 114
Wednesdays 11:30 – 13:00
E-mail: javad.tavakoli@ubc.ca or Connect
Voicemail: 250-807-9535
WebCT: Assignments, handouts, pre-tests, and important dates will be posted on the course
Blackboard Connect page, so please check it frequently.
Log in via http://elearning.ubc.ca/connect/.
Text: James Stewart: Multivariable Calculus, Brooks/Cole, 7E, 2012. This book is required
and available in the bookstore. You may use the other edition, but you will need to
compare assignment and practice exercises with a copy of the other editions.
Calculator:
All students are required to use a Sharp EL510RB scientific calculator on the
tests. This is available at the bookstore for $10 or less.
Course Description: Multiple integral, inverse and implicit functions, parametric curve, vector
field, line integral, surface integral, curl, divergence, Green's theorem,
Stokes' theorem, the divergence theorem.
Course Syllabus:
Chapter 13 - Vector Functions (parametric curves)
10.1 Curves defined by parametric equations
10.2 Calculus with parametric curves
13.1 Vector functions and space curves
13.2 Derivatives of vector functions
13.3 Arc length and curvature
13.4 Motion in space: velocity and acceleration
Chapter 15 - Review of Multiple Integrals
15.6 Surface area
15.7 Triple integrals
© Dr. J. Tavakoli. Not to be copied, used, or revised without express written permission from the copyright owner.
15.8 Triple integrals in cylindrical and spherical coordinates
15.9 Change of variables in multiple integrals
Chapter 16 - Vector Calculus
16.1 Vector fields
16.2 Line integrals
16.3 The fundamental theorem for line integrals
16.4 Green's theorem
16.5 Curl and divergence
16.6 Parametric surfaces and their areas
16.7 Surface integrals
16.8 Stokes' theorem
16.9 The divergence theorem
Evaluation: Grades are based on assignments, two mid-term tests (tentatively:
February 10 and March 9), the best two of three quizzes (tentatively: January
20, February 27, and March 30) and the three-hour final exam.
Assignments
Quizzes
Midterm
Final exam
15%
10%
30%
45%
Problems from the text will be regularly assigned for practice. Answers for the oddnumbered exercises are in the back of the text. You should check your work and are
encouraged to see me if you have any questions or difficulties.
Tips:
1.
Consult me whenever you have any questions or difficulties with the course. Students
who need extra help are encouraged to use the Math and Science Centre in UNC 201 or
online at http://www.ubc.ca/okanagan/students/arc/tc/msc.html.
2.
To be most effective, you should:
prepare for class by reading ahead in the textbook, to familiarize yourself with new
terminology and to anticipate the topics to be discussed;
attend the lectures, for explanations and examples;
review your notes, to improve or reinforce comprehension;
work on the practice exercises regularly, to assimilate the concepts and techniques.
© Dr. J. Tavakoli. Not to be copied, used, or revised without express written permission from the copyright owner.
ACADEMIC INTEGRITY
The academic enterprise is founded on honesty, civility, and integrity. As members of this
enterprise, all students are expected to know, understand, and follow the codes of conduct
regarding academic integrity. At the most basic level, this means submitting only original work
done by you and acknowledging all sources of information or ideas and attributing them to
others as required. This also means you should not cheat, copy, or mislead others about what is
your work. Violations of academic integrity (i.e., misconduct) lead to the break down of the
academic enterprise, and therefore serious consequences arise and harsh sanctions are imposed.
For example, incidences of plagiarism or cheating may result in a mark of zero on the
assignment or exam and more serious consequences may apply if the matter is referred to the
President’s Advisory Committee on Student Discipline. Careful records are kept in order to
monitor and prevent recurrences.
A more detailed description of academic integrity, including the policies and procedures, may be
found at: Policy on Discipline for Academic Misconduct.
DISABILITY SERVICES
If you require disability-related accommodations to meet the course objectives, please contact
the Coordinator of Disability Resources located in the Student Development and Advising area
of the student services building. For more information about Disability Resources or academic
accommodations, please visit the website
at: http://www.ubc.ca/okanagan/students/drc/welcome.html.
EQUITY, DISCRIMINATION AND HARASSMENT
UBC Okanagan is a place where every student, staff and faculty member should be able to study
and work in an environment that is free from human rights based discrimination and harassment.
If you require assistance related to an issue of equity, discrimination or harassment, please
contact the Equity Office via http://www.ubc.ca/okanagan/equity/contact.html.