COURSE OUTLINE
MATH 2310.03, SECTION M
WINTER 2003

INSTRUCTOR: S. O. Kochman, Ross N510, tel. 736-5250 ext 22553
e-mail: kochman(at)yorku.ca
OFFICE HOURS: Tues, Thurs 1:00-2:00 or by appointment.
TEXT: S. O. Kochman, Multivariable Calculus: Concepts, Applications and Theory, Prentice Hall, 2002, available from the bookstore. Please inform me of any errors that you find in this text.
PROBLEM SESSION: Assistance with mathematical questions on the course or the homework will be available at the problem sessions on Tuesdays, 3:30 to 4:20 in Room N501 Ross beginning on January 14.
WEB PAGE: There is a web page for this course which contains the course outline, homework problems, tentative course schedule, grades, text errata and solutions to exams. Announcements made in class will be posted there and will not repeated in class. The address of this web page is:
http://www.math.yorku.ca/Who/Faculty/Kochman/M2310/infoW03.html
SYLLABUS: We will study the following sections:
Chapter 6: sections 1-8; Chapter 7: sections 1-6; Chapter 8: sections 1-4.
Note that we will not cover all the sections of each chapter.
We will extend the concepts of calculus from graphs of functions of one variable to curves in higher dimensions as well as graphs of functions of several variables. Chapter 6 begins with a quick review of simple vector algebra followed by a study of lines and planes. Then we study curves in two and three dimensions including curves in the plane given by polar coordinates. The chapter concludes with the computation of arclength. Chapter 7 introduces various examples of surfaces. Differential calculus is extended to surfaces and other functions of several variables with applications to maxima-minima problems. Chapter 8 generalizes the definite integral which computes areas under curves to double integrals which compute volumes under surfaces. Triple integrals will also be introduced.
HOMEWORK: You are expected to do all of the assigned homework. Experience has shown that the only way to learn math is to do it - math is not a spectator sport! The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend doing problems.
EXAMS: There will be two in-class exams and a 3 hour final exam.
MARKS: The final exam will count as 50% of your mark, and each in-class exam will count as 25% of your mark.
MISSED EXAMS: There will be no make-up exams for missed in-class exams. Upon presentation of documentation of a valid excuse, the corresponding percentage of the final mark will be added to the final exam. With no presentation of such documentation a grade of zero will be entered for the missed exam. If you miss the final exam then it is your responsibility to complete the required paperwork for deferred standing during the following week. A makeup final exam will be given in June. Any student who receives deferred standing after that date will have to write the final exam with the students of a later course such as the Fall Math 2310 final exam given in December.
IMPORTANT DATES: Add deadline without my permission: January 17.
Add deadline with my permission: January 31.
Drop deadline: March 7.