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The Department of Mathematics offers programs leading to Undergraduate
degrees in three faculties:
BA Minor, Major, Double Major, Mathematics/Economics Major, Honours, Combined Honours,
Mathematics/Music Honours. Co-operative Education
Program options are also available.
BSc Minor, Major, Double Major, Combined
Major, Mathematics/Economics Major, Mathematical Sciences Major, Honours, Combined Honours. A
dual-degree BSc/BEd
program and Co-operative Education Program options are also available.
BASc Minor in Honours
Mathematics
CAREER OPPORTUNITIES
The Honours degree is the usual route for
students intending to proceed to graduate school in Mathematics. It is
necessary to have a PhD degree in order to obtain an academic position at a
university; an MSc degree may be sufficient to
obtain a position at a two-year college, although many such advertised
positions give preference to applicants with PhD degrees. An Honours degree, with appropriate courses in analysis,
discrete mathematics, probability, and statistics, is an appropriate route to
graduate programs in Commerce, especially Management Science (Operations
Research). Typically, a postgraduate degree is needed for jobs with a strong
Mathematics component.
Our Majors programs (BA or BSc) offer
substantial flexibility in Math course selection as well as plenty of
elective room. Students can get a fine "Liberal Arts" degree in
either case by a suitable selection of courses but should note the
requirements of their Faculty.
Currently, a Mathematics degree is one of the best entry routes to BEd programs since there has been a significant shortage
of qualified Mathematics teachers at the secondary school level. The current
job market for teachers in BC is very weak but should recover. Students in a
Major program intending to enter the BEd program
should consider taking courses in geometry, number theory, probability,
statistics, and mathematics history, such as MATH 302, 303, 308, 309, 312,
313, 342, 414, 446, and STAT 200. The Department of Mathematics runs outreach
programs for BC students in Grades 6-12 and welcomes participation from
Mathematics undergraduates interested in teaching as a potential career.
The business world has employed many Mathematics graduates, especially in
the actuarial field, investment, and banking. For such employment, it is
worthwhile to take courses in Statistics, in particular STAT 200, 305, 306,
and 404. Students interested in the actuarial field should contact Dr. Joel
Friedman. Note that one can take a Major in Mathematics with a Minor in
Commerce (BA or BSc degree) as well as a
Mathematics/Economics Major (BA or BSc degree).
One area of great employment opportunity appears to be in the software
industry - systems analysis, software engineering, computer programming, and
management information systems. Mathematics graduates seeking such employment
opportunities should consider taking Computer Science courses such as CPSC
110, 210, 221, and 310.
For career information, students are encouraged to look at Jobs Rated
2012 by Les Krantz, available at www.careercast.com, which lists the following
among the ten best American jobs (out of 200): software engineer, actuary,
computer systems analyst, and mathematician. See also the American
Mathematical Society website, www.ams.org/employment.
For all career choices, good communication skills in both oral and written
English are essential.
PROGRAMS OF STUDY
BA PROGRAM
There is no Physics or Chemistry requirement for students pursuing the BA
program, but students need to satisfy a Computing requirement. This can be
fulfilled by taking CPSC 110/210, or CPSC 110 and MATH 210. Arts students
must also satisfy Literature and Language requirements. The BA program has
other special requirements, including a first-year writing requirement, a
fourth-year research-intensive course requirement (fulfilled by one of MATH
441, 444, 445, 448, 462), and a proposed writing-intensive course (probably
MATH 220 will suffice). There are new credit restrictions for a BA, liminiting the number of non-Arts courses. Math courses
count as Science courses. A Math student in a BA program cannot usually take
Science courses (including Math) beyond the specified degree requirements,
but it could be possible to obtain permission from the Math Department for up
to 6 credits of exceptions.
Currently, about one-fifth of all Mathematics Majors are registered in Arts.
The Honours program in Arts requires the completion
of 120 specified credits with an average of at least 68%. One may take a
Mathematics Minor (18 credits of courses in Mathematics numbered 300 or
higher) along with another Arts Major. One could also take a Major in
Mathematics and a Minor in another Arts or Science subject or Commerce. A
Double Major program is available in Arts. There is also a special
Mathematics/Economics Major.
BSc PROGRAM
Students intending to pursue an Honours program are
strongly urged to take MATH 120, 121, 223, 226, and 227. This eases the
transition to the third year of the Honours
program. The Honours program in Science requires
the completion of 132 credits. One may take a Mathematics Minor (18 credits
of courses in Mathematics numbered 300 or higher) along with another Science
Major. One could also take a Major in Mathematics and a Minor in another
Science or Arts subject or Commerce. A Double Major program is available in
Science. There is also a special Mathematics/Economics Major, and a Combined
Major in Computer Science and Mathematics.
BASc PROGRAM (Minor in Honours Mathematics)
In this Minor, one must take a number of advanced mathematics courses, in
addition to those required by the program. By carefully picking electives and
taking some summer courses, it is possible to complete this program within
four years. It is advantageous to obtain Advanced Placement credit (Calculus
AB or BC) or Challenge credit for MATH 100 and/or MATH 101 prior to entering
UBC.
If a student intends to pursue a degree program in Mathematics, it is
important to see a Mathematics Advisor or the Undergraduate Chair.
COMMENTS ON SOME SPECIFIC MATHEMATICS COURSES
Detailed information (including prerequisites) for all UBC Mathematics
courses is available in the UBC Calendar. Some additional comments are given
below.
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MATH 001 and MATH 002:
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These are non-credit pre-calculus courses offered by UBC Continuing Studies for
students who are inadequately prepared to take MATH 180 or MATH 184, which
have a prerequisite of at least C+ in Principles of Mathematics 12.
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MATH 003 and MATH 004:
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These are non-credit calculus courses, at the high-school level,
offered by UBC Continuing
Studies.
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MATH 100:
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Prior to entering UBC, students who have taken a high-school calculus
course may write the UBC-SFU-UVIC-UNBC Calculus Challenge Exam. Students
who obtain a grade of 4 or 5 in the AP Calculus AB exam can obtain credit
for MATH 100. A grade of 4 or 5 in the AP Calculus BC exam leads to credit
for MATH 100 and MATH 101.
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MATH 100 (or 180 or 184)
and
MATH 101:
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This is the first-year calculus stream designed for Engineering and
Physical Sciences students who have taken a high-school calculus course.
Those without such a course must take MATH 180 or MATH 184 in the first
term.
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MATH 102 (or 180 or 184)
and
MATH 103:
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This is the first-year calculus stream designed for Life Sciences
students who have taken a high-school calculus course. Those without such a
course must take MATH 180 or MATH 184 in the first term.
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MATH 104 (or 184 or 180)
and
MATH 105:
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This is the first-year calculus stream designed for Commerce and Social
Sciences students who have taken a high-school calculus course. Those
without such a course must take MATH 184 or MATH 180 in the first term.
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MATH
110:
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This
is a full-year alternative to MATH 180 or MATH 184, for students with
insufficient high-school preparation.
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MATH 120
and
MATH 121:
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These are 4-credit Honours versions of the
courses MATH 100 and 101, or MATH 102 and 103, or MATH 104 and 105.
Prerequisite: a high-school calculus course and a score of at least 35/80
in the Canadian Open Mathematics Challenge (COMC) or a grade of 95% or better
in Principles of Mathematics 12. To register, contact the Undergraduate
Chair.
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MATH 210:
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This is a mathematical way to satisfy the Computing requirement.
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MATH 217:
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This accelerated course, which contains material from MATH 200 and MATH
317, is intended for students in Honours Physics
and Engineering Physics.
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MATH 221:
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This course is open to students who have passed MATH 101 or 103 or 105
or 121, or obtained at least 64% in MATH 100 (180) or 102 or 104 (184) or
120, or have advanced credit for MATH 100.
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MATH 230:
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This is a 3-credit course useful for entry into the BEd
Elementary Program. Prerequisite: Principles of Mathematics 11.
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MATH 302:
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This course is equivalent to STAT 302.
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MATH
305:
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This
new course in complex variables is similar to MATH 300 but contains a
greater emphasis on applications.
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MATH 308-312:
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Note the prerequisite of MATH 220 or MATH 226 or CPSC 121.
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MATH 318:
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This is an accelerated course that contains material from MATH 302 and
MATH 303.
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MATH 331:
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This is an Honours course in problem solving.
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MATH 335:
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This is a 4-credit course open to Arts and unclassified students
intending to enter the BEd Elementary Program
without previous credit for any other Mathematics course.
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MATH 342:
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Note the prerequisite of MATH 220 or MATH 226 or CPSC 121.
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COURSE SELECTION IN THE MAJORS PROGRAM
Major students sometimes wonder which third- and fourth-year
Mathematics courses to include in their degree. In practice, typical choices
come from the following:
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MATH
300
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Introduction
to Complex Variables
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MATH
302
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Introduction
to Probability
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MATH
303
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Introduction
to Stochastic Processes
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MATH
307
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Applied
Linear Algebra
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MATH
308
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Euclidean
Geometry
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MATH
309
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Topics
in Geometry
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MATH
310
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Abstract
Linear Algebra
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MATH
312
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Introduction
to Number Theory
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MATH
313
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Topics
in Number Theory
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MATH
316
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Elementary
Differential Equations II
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MATH
317
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Calculus
IV
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MATH
340
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Introduction
to Linear Programming
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MATH
342
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Algebra,
Coding Theory, and Cryptography
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MATH
345
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Applied
Nonlinear Dynamics and Chaos
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MATH
360
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Mathematical
Modeling in Science
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MATH
361
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Introduction
to Mathematical Biology
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MATH
400
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Applied
Partial Differential Equations
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MATH
414
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Mathematical
Demonstrations
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MATH
441
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Mathematical
Modeling: Discrete Optimization Problems
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MATH
442
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Optimization
in Graphs and Networks
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MATH
444
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Mathematical
Research and Writing
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MATH
445
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Mathematical
Modeling: Applications in the Natural and Social Sciences
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MATH
446
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Topics
in the History of Mathematics I
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MATH
448
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Directed
Studies in Mathematics
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MATH
462
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Projects
in Mathematical Biology
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For reasons of breadth, it is a good idea to include MATH 302, 307, 308,
312, and 340, and then to take follow-up courses as interests dictate. Major
students, especially those considering graduate school in the Mathematical
Sciences, are also encouraged to take some of the courses required in the Honours program, such as MATH 300, 320, 321, and 322.
Another suggestion is to take some higher-level elective courses in an area
of application, such as Economics, Computer Science, or Statistics.
COURSE SELECTION IN THE HONOURS PROGRAM
Students planning on an Honours or Combined Honours degree are advised to take the Honours version of first- and second-year courses,
specifically MATH 120 (Honours Differential
Calculus), 121 (Honours Integral Calculus), 223 (Linear
Algebra), 226 (Advanced Calculus I), and 227 (Advanced Calculus II). For each
of these courses, the syllabus in the regular and the Honours
versions is similar enough so that the regular course with a sufficiently
high grade will be accepted as a prerequisite for a subsequent Honours course. However, in general, the Honours versions cover the material in greater depth,
offer more challenging problems, and anticipate concepts which are important
in upper-level courses. Note that an Honours
student who takes MATH 200 or MATH 253 instead of MATH 226 must also take
MATH 220 (Mathematical Proof).
The core third-year courses are MATH 300 (Introduction to Complex
Variables), 320 (Real Variables I), 321 (Real Variables II), and 322
(Introduction to Algebra). Almost all fourth-year courses have these courses
as prerequisites. A highly recommended course, MATH 331 (Problem Solving),
may be profitably taken in second, third or fourth year. The prerequisites
are MATH 223 (152, 221) and MATH 226 (200). The remaining upper-level courses
are organized into the areas of analysis, algebra, geometry and topology,
applied mathematics, and a course in graph theory. See the UBC Calendar for
detailed descriptions. Some higher-level courses are not offered every year.
Advanced students are encouraged to take 500-level (introductory graduate)
courses. Note that the Math Honours program (not
Combined Honours) allows some Math Major courses.
OTHER INFORMATION
Advising
All undergraduates are expected and strongly encouraged to see their
respective Undergraduate Advisor at least once each academic year during the
first term, preferably before the end of October. Check at the main
Mathematics Office (Room 121 in the Mathematics Building) to obtain the
current advisor for your year and program. There are also Actuarial, Putnam,
Co-op and School Workshop Advisors, as well as an advisor for students
enrolled in programs other than Mathematics.
Appeal Procedures
A student who wishes to protest a mark in a midterm or homework assignment should
initially approach the instructor concerned. Only if the problem cannot be
resolved in this fashion should the student approach the Undergraduate Chair.
Students must not, on their own initiative, approach a second instructor.
After the final exam period, students can complete a Viewing of a Final
Examination form (available in the Math Office or online) and then meet with
their instructor to discuss the exam. If a student then wishes to have the
final exam officially re-marked, they must go to Enrolment Services to
complete a Review of Assigned Standing form and pay a fee, which is only
refunded if the exam mark is raised.
Computer Lab Facilities
The Mathematics Undergraduate Computer Lab is located in Room 310 in the
Leonard S. Klinck (LSK) Building. Students can use
any of the 40 Windows workstations and a printer networked to the Mathematics
Unix servers. Users have access to various installed software to do course
work, such as mathematical packages (Maple, Matlab,
R), browsers and information readers (Firefox, email readers), editors and
word processing (Open Office, TeX), and programming
tools (GCC compilers, Java toolkit). This lab is open Monday to Friday
from 7:30 am to 5:00 pm.
In addition, Rooms 121 in LSK and 1042/1046 in ESB are available to
Mathematics and Statistics undergraduates with lab accounts. Room 121
consists of 70 CAIL terminals which have Windows and Unix login with access
to the same servers as in the Mathematics Undergraduate Computer Lab, as well
as to additional software from several Windows 2000 servers (Jumpin, Microsoft Office, Lindo
and Lingo, Scientific Notepad). Rooms 1042 and 1046 in ESB each have 20 Mac
workstations. Two printers are available, with a strictly enforced quota of
35 pages per course. These labs are open Monday to Friday from 7:30 am to
5:00 pm, provided they have not been reserved by an instructor. All labs
are closed on weekends and holidays.
Co-operative Education Programs
Second- and third-year students can apply to pursue a Co-operative Education
Program in Mathematics which involves work placements in addition to regular
study. For information concerning the Co-operative Education Program in
Science, contact the Science Co-operative Education Office, Room 170,
Chemistry and Physics Building, 6221 University Boulevard (604-822-9677). For
information concerning the Co-op Education Program in Arts, contact the Arts
Co-operative Education Office, Room C121, Buchanan Building, 1866 Main Mall
(604-822-1529).
Math Club (www.ubcmathclub.org)
All Mathematics undergraduates are strongly encouraged to join the Math Club
located in Mathematics Annex 1119. The Math Club plays the role of a social
centre for Mathematics students. It organizes lectures, study sessions,
mentoring, and social functions, and it has a library, telephone,
refrigerator, cheap food and pop, etc. The membership fee is nominal. Just
prior to the December and April examination periods, the Math Club sells
copies of previous final exams and solutions for most first- and second-year
and some third-year Math courses.
Mathematics Learning Centre (MLC) (www.math.ubc.ca/Ugrad/ugradTutorials.shtml)
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, 9:30 am to 6:30 pm. All
tutors provide assistance with first- and second-year calculus and linear
algebra and will attempt to help with any undergraduate Math course. For
higher-level courses, check the MLC website for times when there is a tutor
working who specializes in your course subject. There is no charge for this
service.
Mathematics Library
All Mathematics undergraduates are strongly encouraged to make full use of
the Mathematics Library, located in the Irving K. Barber Learning Centre
(Level 4, North Wing). The online resources of books and journals are substantial.
Putnam Competition (www.math.ubc.ca/~gerg/index.shtml?putnam)
Students are strongly encouraged to participate in the prestigious
undergraduate Putnam Mathematics Competition. UBC has consistently ranked
high in this North American competition for many years. There are special
Lawrence Roberts Putnam Awards for UBC students who finish in the top 200.
Registration is free and can be done on the department's Putnam webpage. That
page also contains answers to frequently asked questions, as well as
scheduling information for practice sessions and contact information for
further questions.
Registration Problems (www.math.ubc.ca/Ugrad/ugradRegistration.shtml)
If you encounter any registration problems, please contact the main
Mathematics Office (Room 121 in the Mathematics Building) (604-822-2666).
Supplemental Examinations
Supplemental Examinations and Examinations for "Higher Standing"
are unavailable in any Mathematics course.
Transfer Credits
Students with questions concerning transfer credits from other institutions
or other faculties should contact Dr. Albert Chau
(chau@math.ubc.ca / 604-822-2450).
Notices of interest to undergraduates are posted on the bulletin board
located in the hallway outside the main Mathematics Office (Room 121 in the
Mathematics Building).
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