Announcements:
 Registration issues: In the Mathematics department, course instructors do not have the
authority to enroll students in courses or sign any forms related to registration. For all
registration issues or concerns, please contact the Mathematics Undergraduate Chair, Prof. Mark
Mac Lean, at ugradchair@math.ubc.ca .
 The Canvas course page is published now and you should be able to see it
in your account if you are registered for the class.
Mathematics 226 (Honours Advanced Calculus I), Fall 2019
Section 101: MWF 11:0011:50, LSK 460. Credit value: 3 credits.
Instructor: Professor I. Laba
 Bio: Ph.D. 1994 (University of Toronto). At UBC since 2000. Full Professor since 2005.
 Contact infornation: Math Bldg 200, (604) 822 4457, ilaba@math.ubc.ca
 Office hours: Mon 1011, Thur 1112, Fri 121, in MATH 200.
 The best way to contact the instructor is by email. Please note that email received on evenings and weekends
will be answered on the next business day.
 If you cannot attend regular office hours due to schedule conflict, you can request an appointment.
Please make your request at least one day in advance.
Our schedules can fill up, so that
dropins and sameday requests for appointments can be difficult or impossible to accommodate.
Prerequisites:
Either (a) a score of 68% or higher in MATH 121 or (b) a score of 80% or higher in one of MATH 101, MATH 103, MATH 105, SCIE 001.
Corequisites: One of MATH 152, MATH 221, MATH 223.
Course structure: 3 lecture hours per week, supplemented by 3
office hours per week, regular homework, and discussion boards on
Canvas and Piazza. There will also be opportunities to ask questions during class.
Required learning materials:

Textbook: Robert A. Adams and Christopher Essex, Calculus: Several Variables (or Calculus: A Complete Course),
9th ed., Pearson, ISBN 9780134579788. The book costs $179.40 at the UBC Bookstore, and will also be used
in MATH 227. (Used copies and older editions are acceptable alternatives and may be less expensive.)

Homework assignments (will be posted on Canvas)
 WebWork (must be accessed through Canvas)
Courselevel learning objectives:
 Learn the basic concepts of multivariable calculus, including analytic geometry in 3 dimensions, continuity, differentiation
and integration of multivariate functions.
 Understand the differences between the multivariate calculus concepts and their analogues for functions of one variable.
 Use multivariate calculus to solve mathematical questions with several variables, such as optimization problems,
questions from geometry and statistics.
 Learn clear and correct mathematical writing, including constructing and writing formal mathematical proofs.
Course topics and tentative schedule:
 Vectors in 3space (Chapter 10):
vectors, dot and cross product, planes and lines, quadric surfaces, cylindrical and spherical coordinates
(approx. 2 weeks)
 Functions of several variables (Chapter 12):
graphs, limits, continuity, derivatives and differentiability, gradients and directional derivatives, implicit functions
(approx. 5 weeks)
 Applications of partial derivatives (Chapter 13):
extreme values of functions, minimization and maximization problems
(approx. 23 weeks)
 Multiple integration (Chapter 14):
double and triple integrals, changing variables, applications
(approx. 3 weeks)
Detailed updates on class topics covered each week will be posted regularly on Canvas.
Learning activities:
Your learning practice should include textbook reading, class attendance, and working on practice problems.
All three components are essential.
 The textbook has full and complete explanations of all topics covered in class. It also has
a broad selection of practice problems for you to work on (specific recommendations will be posted
on a regular basis).
 Lectures will supplement (rather than duplicate) the textbook. We will often focus on
particularly important and/or difficult points, problemsolving techniques, etc. Issues related to good
mathematical writing and, specifically, writing of formal mathematical proofs will also be discussed
in class.
 Mathematics is not a spectator sport. You cannot learn mathematics just by watching someone else do it,
not any more than you could learn to play the piano or ride a bike by watching others do it. You
actually have to try it for yourself. The required homework assignments represent the minimum
amount of practice you need. In order to master the subject, many students need additional practice, such
as the recommended textbook problems.
 Class participation, discussion board participation, and office hours attendance are not
mandatory and will not be taken into account in the calculation of your course grade.
However, we strongly recommend that you attend office hours and participate in class discussions
at least from time to time. This is a good way to get early feedback on your work
(before it is evaluated for credit), make sure that you really understand the concepts, etc.
Your course mark will be based on WebWork (10%), longform homework assignments (15%),
midterm exam (25%), and the final exam (50%). The grades may be slightly
scaled at the end of the course.

Examinations:
There will be one inclass 50minute midterm, scheduled on Friday, October 18, in class (1112).
and a 2.5 hour final exam in December,
The date of the final examination will be announced by the Registar later
in the term.
All examinations will be strictly closedbook:
no formula sheets, calculators, electronic devices, or other aids will be allowed.

WebWork: WebWork problem sets will be assigned weekly. In order for your grades
to be recorded properly, you have to access problem sets through Canvas. The first problem set (HW0, not
graded) will be an introduction to WebWork, for those who have not used it previously.
To allow for minor illnesses, technical difficulties with WebWork, etc.),
the WebWork part of your grade will be 110% of your total WebWork score^{*}, so that you can miss almost 10% of WebWork and still
get full credit. (^{*}If this is more than 10 points, your WebWork score will be 10.)

Longform homework assignments: tentatively, there will be 4 assignments, due on
Mondays, September 16, October 7, November 4, and November 18.
These problem sets will have only 34 questions, but
that will include proofs, and you will be graded both on the correctness of your
mathematics and on the quality of your mathematical writing. For full credit, you will
need to present complete and well written explanations; the correct answer alone will not
be sufficient.
Each assignment will be posted at least a week in
advance.
Your solutions are to be uploaded to Canvas and will be graded online.
Late assignments will not be accepted.
To allow for minor illnesses and other emergencies, the lowest homework score will be dropped
with no questions asked.
Academic concession:
The rules and procedures for obtaining academic concession are governed by
UBC
Policy V135 on Academic Concession. The details in this course are as follows.
 Missing the midterm: There will be no makeup midterms in this class. Missing the
midterm for a valid reason will normally result in the weight of the midterm being transferred
to the final exam. Examples of valid reasons include illness, participating in a religious
observance, or being required to attend a court session. Missing the midterm for a nonvalid reason
(e.g. conflicts with personal travel schedule) will result in a mark of 0. Any student who misses
the midterm for a valid reason must present the
Department of Mathematics Academic Concession
selfdeclaration form
to the instructor within 72 hours of the missed midterm if at all possible. Please note that
academic concession for certain reasons, such as valid schedule conflicts that can be foreseen,
must be requested in advance and may require additional documentation.
 Missing the final exam::
If you miss the final exam for a valid reason such as a medical emergency, you will need to present
your situation to the Dean's Office of your Faculty to be considered for a deferred exam.
See the Academic Calendar
for detailed regulations. Your performance in a course up to the exam is taken into consideration
in granting a deferred exam status (e.g. failing badly generally means you will not be granted
a deferred exam). In Mathematics, students usually sit the next available exam for the course
they are taking, which could be several months after the original exam was scheduled.
Your personal travel schedule is NOT a valid reason for missing a final exam.
Any student who misses the final exam for that reason will receive a mark of 0 on the exam.
Do not make travel or other personal commitments before the final exam date is confirmed.
(Please take this seriously. In the past, the final exam in this course has been scheduled as late as Dec. 21.)
 Late or missed homework: Late assignments will not be accepted.
Missing the deadline will result in a mark of 0 for that assignment.
To account for minor illnesses and emergencies,
the homework grading scheme (see above) allows for 1 longform assignment and about 10%
of WebWork to be missed with no penalty.
Academic concession requests involving two or more missed longform assignments, or more than 10% of
WebWork, should be accompanied
by the selfdeclaration form. You may also be required to submit additional documentation.
Academic misconduct: UBC takes cheating incidents very seriously. After due
investigation, students found guilty of cheating on tests and examinations are usually
given a final grade of 0 in the course and suspended from UBC for one year.
See here for more information.
 While students are encouraged to study together, they should be aware that blatant copying of
another student's work is a serious breach of academic integrity. Your final writeup should be
your own.
 Academic misconduct includes misrepresenting a medical excuse or other personal
situation for the purposes of postponing an examination or quiz or otherwise obtaining
an academic concession.
 Academic misconduct also includes making any alterations to graded midterms or other graded work before submitting a request for regrading. To discourage this practice, randomly selected midterms will be
copied and retained for verification in the event of a regrading request.
Additional help:
 Office hours are the designated time when your professor is available to answer your questions
related to the course. If you cannot come to the scheduled office hours, please request an appointment.
Our schedules can fill up, so please make your request at least a day in advance.
 Mathematics Learning Centre:
The MLC is a space for undergraduate students to study math together, with friendly support from tutors, who
are graduate and undergraduate students in the math department. The MLC is located at LSK301 and LSK302 and
is
open 5 days a week 11am5pm. Every undergraduate student studying Math is welcome here!
In the MLC, students may join the study groups if students wish so. Please note that while students are
encouraged to seek help with homework, the MLC is not a place to check answers or receive solutions, rather,
our aim is to aid students in becoming better learners and to develop critical thinking in a mathematical
setting. Check
the website above for any additional information, changes to hours and announcements.

Past final exam database, maintained by the Mathematics department.
 UBC Math Club,
located in Math Annex 1119, sells
math exam packages (old exams together with solution sets)
for a nominal price before each final exam session.
Statement about the University's values and policies, mandated by
UBC Policy V130:
UBC provides resources to support student learning and to maintain healthy lifestyles but recognizes that sometimes crises arise and so there are additional resources to access including those for survivors of sexual violence. UBC values respect for the person and ideas of all members of the academic community. Harassment and discrimination are not tolerated nor is suppression of academic freedom. UBC provides appropriate accommodation for students with disabilities and for religious, spiritual and cultural observances. UBC values academic honesty and students ae expected to acknowledge the ideas generated by others and to uphold the highest academic standards in all of their actions. Details of the policies and how to access support are available
here.
[Mathematics Department]
[University of British Columbia]