**Course Objectives:**
Math 2A03 is a basic course on vector calculus for students in physics, chemistry, and mathematical
sciences. It continues the subjects of Calculus I and II but addresses functions of several
variables in two-dimensional and three-dimensional geometry. Topics of particular
importance in terms of physical applications
are gradient vectors, optimization problems, curves, integration along paths,
integration over surfaces, and classical integration theory. Note that
if you are interested in taking the upper-level mathematics courses (such as real and complex analysis,
differential geometry, differential equations), you should take the full-year vector
calculus (Math 2X03 and 2XX3) instead of this course, which teaches the same material in one term.

**Topics:**
Functions of several variables, chain rule, Taylor's formula,
extremal problems, Lagrange multipliers; multiple integrals,
change of variables formula, line and surface integrals,
Green's, Gauss' and Stokes' theorems.

**Instructor:**

Dr. Dmitry Pelinovsky, HH-422, ext.23424, e-mail: dmpeli@math.mcmaster.ca

**Teaching Assistant:**

Lauren DeDieu, HH-303, e-mail: dedieula@math.mcmaster.ca

**Hours:**

*Lectures:* Mondays (9:30-10:20),
Tuesdays (10:30-11:20),
Thursdays (9:30-10:20); BSB/119

*Tutorials:* Wednesdays (17:30-18:20); HH/109

*Office hours of D. Pelinovsky:* Mondays and Thursdays (10:30-11:20)

*Office hours of L. DeDieu:* Fridays (13:00-15:00)

**Textbook:**

*"Vector Calculus"* by M. Lovric (John Wiley \& Sons, 2007), ISBN 978-0-471-72569-5

**Assignments:**
Five home assignments will be posted on the course webpage with specific deadlines.
Four best grades will be counted towards the final mark.

**Class Tests:**
There will be two class tests tentatively scheduled on October 4
and November 6 during the regular lecture hour.
Textbooks, lecture notes, and McMaster calculators are allowed on the tests.

**Final Exam:** The course is completed by a three-hour final examination.
The date and location of the final exam will be announced by the registrar's
office in mid-term.

**Marking scheme:**

Final exam | 50% |

Mid-term tests | 40% |

Assignments | 10% |

**Important message:**
The instructor and university reserve the right to modify elements of the
course during the term. The university may change the dates and deadlines
for any or all courses in extreme circumstances. If either type of
modification becomes necessary, reasonable notice and communication with the
students will be given with explanation and the opportunity to comment on
changes. It is the responsibility of the student to check their McMaster
email and course websites weekly during the term and to note any changes.

**Academic Dishonesty:** Any student
who infringes academic dishonesty will be treated according
to the policy of the McMaster University. In particular, academic dishonesty includes

(1) plagiarism, e.g. the submission of work that is not one's own,

(2) improper collaboration in group work on home assignments,

(3) copying or using unauthorized aids tests and examinations.

It is your responsibility to understand what constitutes academic dishonesty,
refering to Academic Integrity Policy.

**Requests for Relief for Missed Academic Term Work:**
Using the McMaster student absence form (MSAF)
on-line, self-reporting tool, undergraduate students may report absences
lasting up to 5 days and may also request relief for missed academic work,
which is less than 30% of the final mark. The submission of medical or other types
of supporting documentation is normally not required. Students may use this tool
only once per term. Students who are absent more than five days cannot use the on-line,
self-reporting tool to request relief. They MUST report to their Faculty
Office to discuss their situation and may be required to provide appropriate
supporting documentation.

**Additional information:**
Late assignments will not be graded. No make-up tests will be scheduled.
In the event of an exemption from the test or more than one assignment,
your course grade will be re-weighted by increasing the weight of the final
examination to compensate for the missed test or assignment.