Announcements:
- The final exam is scheduled on Saturday, December 6, at 3:30 pm in BUCH A202. The exam is cumulative and will cover all of the course material. Please see the homework and recommended homework pages for notes on the topics we covered and recommended practice problems.
- Office hours before the final exam: Wednesday, Dec. 3, 12-2, and Friday, Dec. 5, 11-1, in
MATH 200. If you would like to come to office hours but cannot make it during these times, please
send me an email to set up an appointment.
- The
UBC Math Club (MATX 1119) sells study packages with several final exams from recent years with solutions, at nominal price ($10).
There is no study package for MATH 226, but there is one for MATH 200 which is the non-honours version of this class. In particular, any integration questions (Chapter 14) should be similar to MATH 200.
- The practice homework page has been updated to include Sections 14.1-14.6.
- Homework #6 solution set is now posted.
- Homework set #6, due on Friday, Nov. 21, is now posted.
- Midterm 2 solutions are posted here.
- Midterm 2 was on Monday, November 3, and covered:
- Sections 12.5-12.9: The Chain Rule, differentiability and linear approximation, gradients
and directional derivatives, implicit functions, Taylor's series in n variables.
- Sections 13.1-13.2: Extreme values of functions of n variables, classifying critical points,
finding extreme values on specified domains.
Please note that the material in Sections 12.6-12.9 was covered somewhat selectively. Details
and study suggestions are posted on the homework and
practice homework pages.
- A sample midterm 2 is available here.
- Sample midterm 2 solutions are posted here.
- Practice problems for sections 12.9, 13.1 and 13.2 are now posted.
- Midterm 1 solutions are posted here.
- Midterm 1 was on Friday, October 3 and covered
- Sections 10.1-10.6: Points, sets and vectors in n-space, dot and cross product (with applications
to finding angles, areas and volumes), lines, planes, quadric surfaces, cylindrical and spherical
coordinates.
(We have skipped "Hanging cables and chains," pp. 574-576. and the examples with distances, pp. 592-593.)
- Sections 12.1-12.4: Functions of several variables, limits, continuity, partial derivatives, tangent
planes to surfaces, higher order derivatives.
A sample midterm is available here. Solutions
are posted here.
-
Please note that we will be skipping Sections 10.7 and 10.8 of the textbook. They cover linear algebra material that will be done in much more detail in the co-requisite linear algebra class. After Section 10.6 (Friday, Sept. 19), we will move on to Chapter 12.
Mathematics 226 (Honours Advanced Calculus I), Fall 2014
Section 101: MWF 11:00-11:50, GEOG 212
Lecturer: Prof. I. Laba
- Math Bldg 200, (604) 822 4457, ilaba@math.ubc.ca
- Office hours: Monday 12-1, Wednesday 1-2, Friday 10-11, 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, please make an appointment in advance.
Drop-ins and same-day requests for appointments cannot always be accommodated.
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 web page: http://www.math.ubc.ca/~ilaba/teaching/math226_F2014
Homework assignments will be posted here.
There will also be recommended practice problems.
Textbook: Robert A. Adams and Christopher Essex, Calculus: Several Variables (or Calculus: A Complete Course),
8th ed.
Pearson, 2013, ISBN 978-0-321-87741-3.
Course topics:
- Vectors in 3-space (Chapter 10):
vectors, dot and cross product, planes and lines, quadric surfaces, cylindrical and spherical coordinates.
- Functions of several variables (Chapter 12):
graphs, limits, continuity, derivatives and differentiability, gradients and directional derivatives, implicit functions.
- Applications of partial derivatives (Chapter 13):
extreme values of functions, minimization and maximization problems.
- Multiple integration (Chapter 14):
double and triple integrals, changing variables, applications.
We will be covering most, but not all, of the material from Chapters 10, 12, 13 and 14 of the textbook.
Detailed updates on the syllabus will be posted on this webpage. Please be aware that this is an Honours class.
Most of the emphasis will be on ideas and calculations, but you will also be expected to understand and write mathematical proofs.
Your course mark will be based on homework (10%),
two midterm exams (20% each), and the final exam (50%). The grades may be slightly
scaled at the end of the course.
Examinations:
There will be two in-class 50-minute midterms, scheduled on Friday, October 3, and Monday, November 3,
and a 2.5 hour final exam in April.
The date of the final examination will be announced by the Registar later
in the term.
Attendance at the final examination is required, so be careful about
making other committments (such as travel) before this date is confirmed.
All examinations will be strictly closed-book:
no formula sheets, calculators, or other aids will be allowed.
Homeworks: Tentatively, there will be 6 homework assigmnents, due on
September 12 (Friday), September 24 (Wednesday), October 15 (Wednesday), October 24 (Friday),
November 12 (Wednesday), and November 21 (Friday).
Each homework will be announced and posted here at least a week in advance.
The homeworks are to be handed in at the beginning of class.
If you cannot come to class, you may drop off your homework at your instructor's office prior to the start of class.
Late assignments will not be accepted.
Solutions will be posted on the course webpage immediately after the lecture.
To allow for minor illnesses and other emergencies, the lowest homework score will be dropped.
Academic concession: Missing a midterm, or handing in a homework
after the deadline, will result in a mark of 0.
Exceptions may be granted in two cases: prior consent of the
instructor, or a documented medical reason.
Your course mark will then be based on your remaining coursework.
Additional course related resources:
General links:
- Please read the UBC
policy on Student Conduct and Discipline.
- Mathematics Learning Centre:
The Math Department runs a drop-in tutorial centre for undergraduate
Math courses, staffed by Graduate Teaching Assistants. This centre is
located in Rooms 300, 301, and 302 in the Leonard S. Klinck (LSK)
Building, and is open Monday through Friday, 9:00am to 7:00pm. Check
the website above for any changes to hours and announcements. All
tutors provide assistance with first- and second-year calculus and
linear algebra and will attempt to help with any undergraduate Math
course. In addition to regular assistance, the MLC offers Quick Help
for students who are looking for fast support for minor snags. There
is no charge for the services MLC provides.
-
Past final exam database
- 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.
[Mathematics Department]
[University of British Columbia]