Math 227
Advanced Calculus II (Honours Vector Calculus)


Lecture Notes (Jan 8,10,12)

Lecture Notes (Jan 3,5)

Questions regarding registration for this class should be addressed to the Mathematics Department office staff.

Homework assignments will be posted weekly and due at the beginning of class on Fridays. First homework will be due on Friday, January 12. For information on homework policy, see below.

Midterm 1: Friday, Feb. 9

Midterm 2: Friday, March 23
For information on midterm policy, see below.

British Columbia law requires the use of a helmet when riding a bicycle.

Instructor Information

Instructor: Brian Marcus
Email : marcus[at]math[dot]ubc[dot]ca
Office: Math Building, Room 218
Office Hours:  Wednesday 2:00-3:00, Thursday 1:00-3:00, and by appointment.
Phone: 822-1369

Course Information

Section: 201
Class time:  MWF 12:00 - 12:50
Class location:  Mathematics 102

Course web page:
will be updated throughout the term.

Textbook:  Calculus: A Comnplete Course, R. Adams and C. Essex, 9th edition (or Calculus of Several Variables, R. Adams and C. Essex, 9th edition)

A score of 68% or higher in Math 226, or permission of department head.

Course Description :
This is an honours course on vector calculus, which bridges the gap between classical physics and modern differential geometry. We plan to cover Chapters 11, 15, 16 and part of 17 of the textbook. Topics include paramatrized curves, Frenet frames, complete invariants of space curves, Kepler's laws, vector fields, line integrals, surface integrals, classical theorems of Green, Stokes and Gauss, and an introduction to higher-dimensional generalizations via differential forms.


Your course mark will be based on homework, the midterms and the final exam in roughly the following proportions:

Homework (15%) + Midterms (35%) + Final Exam (50%)

Homework is an essential part of the course. Homework will be assigned every week and collected in class on Wednesdays. A portion of each assignment will be graded by the course marker. Late homework will not be accepted. The lowest homework grade will be dropped. Students are allowed to consult one another concerning homework problems, but solutions submitted for credit must be written by the student in his or her own words. Copying solutions from another student, from the web or from any other source, and turning them in as your own is a violation of the Academic Code.

Missed Exam Policy: Please make sure you do not make travel plans, work plans, etc., without regard to the examination schedule in this class. There will be no make-up or alternate exams.

If you miss a midterm, your score will be recorded as 0, unless you have a serious documented reason (an illness, a death in the family, etc.), in which case you must discuss your circumstances with the Instructor as soon as possible, and well in advance of the test.

Missed finals are not handled by the Instructo or the Mathematics Department. Students with legitimate reasons for missing the final exam should request a "Standing Deferred" status through their Faculty.

Academic Integrity: The Mathematics Department strictly enforces UBC's Academic Integrity Code.

Students with Disabilities

Please see the Instructor as soon as possible if you need any special accommodations.

Homework #1 due Friday, January 12

Solutions to HW1 (Problems 3 and 4)

Homework #2 due Friday, January 19