Course Objectives: In this course we will first study multiple integrals and their applications, and then use them to define integrals of vector fields (over curves and surfaces) which are independent of parametrization. These vector integrals are used in turn to study the generalizations of the fundamental theorem of calculus to higher dimensions: the theorems of Green, Stokes and Gauss. The theory will be illustrated by applications.
Syllabus: Multiple integration, line and surface integrals and applications. The classical integration theorems of Green, Gauss and Stokes.
Instructor:
Dr. Dmitry Pelinovsky, HH-422, ext.23424, e-mail: dmpeli@math.mcmaster.ca
Office hours: Tuesdays, Thursdays (11:30-12:20), or by appointment
Hours:
Lectures: Tuesdays, Thursdays, and Fridays (8:30-9:20); HH-109
Textbook:
J. Stewart, Calculus: Early Transcendentals, 8th edition, (Cengage Learning, 2015),
ISBN: 978-1-285-74155-0. There is also an optional student study guide which may be helpful.
Practice Problems, Assignments, Tests, and Final Exam:
Check the webpage for Section 1
of the same course. Practice problems, assignments and the final exam are identical,
and the test problems are different in minor details.
Assignments: There will be 5 written assignments whose due dates will be announced in class and posted on the course web-page. Assignments are to be handed in before 12:30 on the due date in the appropriate box in the basement of Hamilton Hall. Assignments deposited after 12:30 pm into the 2X03 box will not be collected or marked.
Class Tests: There will be two tests held during lecture periods. The tentative dates are October 4, 2016 (Tuesday) and November 8, 2016 (Tuesday) during class periods. The topics covered in the two tests will be announced in class and posted on the course web-page. Students who need to take the tests at the Student Accessibility Services must identify themselves to the instructor by September 18, 2016.
Final Exam: A written final exam scheduled by the Registrar office will be held during exam period in December. Only the Casio fx 991 calculator may be used during the tests and the final exam. Students must bring their McMaster ID cards to the tests and final exam for inspection.
Marking scheme: Your final mark will be the higher of the following two computations:
(1) 4 best of 5 assignments (12%), 2 tests (38%), final exam (50%)
(2) final exam (100%).
Your final mark will then be converted to a letter grade using a scheme similar
in spirit to that published in the Undergraduate Calendar. See section (a) below
for the adjusted grading scheme in cases of medical and other exemptions.
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 the changes. It is the responsibility of all students to check their McMaster email accounts and course webpages weekly during the term and to note any changes.
Academic Dishonesty: Your attention is drawn to the documents "Senate Statement on Academic Ethics" and "Senate Resolutions on Academic Dishonesty" which you have received during registration and which can be obtained from the Senate Office. Infringements on the rules and principles in these documents will be dealt with in the manner stated therein.
Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g., the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: "Grade of F assigned for academic dishonesty"), and/or suspension or expulsion from the university.
It is your responsibility to understand what constitutes academic dishonesty. For official
information on what constitutes academic dishonesty please refer to the written copy of the
document Academic Integrity Policy.
The following illustrates only three forms of academic dishonesty:
(i) Plagiarism, e.g., the submission of work that is not one's own or for which other credit has been obtained.
(ii) Improper collaboration in group work.
(iii) Copying or using unauthorized aids in tests and examinations.
Requests for Relief for Missed Academic Term Work: Occasionally, students have to miss classes, assignments, or tests because of medical or personal non-medical reasons. Students should review and follow the Academic Regulations in the Undergraduate Calendar with respect to McMaster student absence form (MSAF)
Requests for Relief for Missed Academic Term Work or for absences from classes lasting up to 3 days due to minor medical or personal reasons: Using the McMaster Student Absence Form (MSAF) on-line, self-reporting tool, undergraduate students may report absences lasting up to 3 days and may also request relief for missed academic work. The submission of supporting documentation is not required. Students may use this tool to submit a maximum of one request for relief of missed academic work per term. Students must immediately follow up with their course instructors regarding the nature of the relief. Failure to do so may negate the opportunity for relief. It is the prerogative of the instructor of the course to determine the appropriate relief for missed term work in his/her course.
For medical or personal situations lasting more than three calendar days, and/or for missed academic work worth 25% or more of the final grade, and/or for any request for relief in a term where the MSAF has been used previously in that term: Students must report to their Faculty Office to discuss their situation and will be required to provide appropriate supportingdocumentation. If warranted, the Faculty Office will approve the absence, and the instructor will determine the appropriate relief.
For Math 2X03, the composition of computation (1) for your final mark will then be changed as follows. The percentage of an excused test or written assignment will be transferred and added to that of the final exam.
Additional information: Discussions about homework assignments are allowed and are generally beneficial. However, you must write up the solutions of the assignment problems by yourself and in your own words. Copying with minor changes (e.g. with symbols changed, or with slightly different wording) from solutions prepared by another person, publication, or website, in whatever format, will be dealt with as an act of plagiarism.