The Applied Mathematics Office of the Department of Mathematics and Statistics is located in Room 122 of the Petrie Science Building (736-5248).
The Applied Mathematics Programme aims to give students a solid base of knowledge of mathematics which has important applications in fields such as computer science, physics, earth and atmospheric science, chemistry, biology, psychology and also in economics and business. Our graduates have gone into a variety of careers including business, industry and government as well as teaching. In particular, many have found jobs in various aspects of fields relating to computing. Some students have continued their studies in graduate schools of mathematics, physics or other areas of application. Professional qualifications are obtainable by the award of a diploma in Operations Research or by writing the examinations of the Society of Actuaries (see the section on Career Information). There are potential jobs for our students wherever mathematics is employed.
Students in Applied Mathematics in the Faculty of Pure and Applied Science may pursue a course of study leading to either an Ordinary degree (usually three years) or an Honours degree (usually four years). Students may combine their studies in Applied Mathematics with another subject such as Physics, Earth and Atmospheric Science, Biology, or Computer Science and thereby graduate with a Combined Honours degree in two subjects. Applied Mathematics students interested in Economics, Psychology, or another subject offered by the Faculty of Arts may pursue a combined programme by selecting a Double Major or Major-Minor Honours programme in the Faculty of Arts. For example, an Economics-Applied Mathematics Major-Minor degree would be a very natural combination. All of our students are given ample opportunity to take electives in other areas of interest, such as business administration.
All students take a common core of courses in Calculus, Differential Equations, Linear Algebra, Symbolic Computing (Maple), and Numerical Analysis. The core of required courses is larger for Honours students. There is a wide choice of elective courses in Applied Mathematics, including Graph Theory, Operations Research, Partial Differential Equations, Advanced Numerical Analysis, and Complex Variables. In addition, students can select a number of optional courses from outside the programme. Courses in the programme stress applications of mathematics and computing to the solution of problems arising in many facets of science, engineering and commerce.
Some possible areas of concentration and corresponding recommended courses are:
Numerical Analysis: MATH4141, MATH4142, MATH4470
Discrete Applied Math / Operations Research:
MATH3260, MATH4141, MATH4160, MATH4170,
Applied Math in Physical Sciences / Differential Equations:
MATH3271, MATH3272, MATH3410, MATH4141,
MATH4142, MATH4241, MATH4270, MATH4271,
Statistical Applied Math: MATH3131, MATH3132, MATH
3033, MATH3034, MATH3230, MATH3330, MATH3430,
MATH4230, MATH4430, MATH4630, MATH4730,
(In all cases, you should make sure that you satisfy all your degree
requirements, given in the checklists towards the back of this minicalendar.)
Applied Maths BA checklist
Applied Maths BSc checklist
All students entering Applied Mathematics are carefully advised concerning their course of study by a member of the programme. The instructors in Applied Mathematics courses are available throughout the year for additional advice and help with specific course-related problems.
If you would like further information, please contact
the Programme Director, Prof. Martin Muldoon
(e-mail: firstname.lastname@example.org), or the
Programme Secretary, Gillian Moore (736-5248).
The Honours Programmes in Mathematics (BA and BSc) are suitable for students who have a special fondness for mathematics. These Programmes provide an excellent background for many occupations demanding skills in mathematical reasoning and techniques. They are ideal for students who intend to pursue graduate study in mathematics. An Honours programme in mathematics emphasizes the understanding of concepts, abstraction and reasoning; these then become the tools for problem-solving, as well as the language and environment in which problems are solved (``proofs''). Most students who creditably complete a York Honours degree in mathematics are routinely accepted (with financial support included!) into Graduate Schools across North America. Taking mathematics in combination with Computer Science, Statistics, or Economics makes for a very impressive curriculum vitae for a graduate seeking a career in Industry, Government, or Business.
Mathematics is one of the oldest academic disciplines. A mathematician is known as one who has exceptional reasoning, critical thinking, and problem-solving skills. While the public knows of the utility of mathematics, less well known is the fact that most mathematicians do math because they love it. The Honours programmes are designed to help you cultivate this same passion. You will meet like-minded classmates, and you will find that your studies are a rewarding and exciting adventure bringing you to the frontier of scientific discovery.
The Ordinary Programme (BA and BSc) provides a three-year degree in mathematics that is much less demanding than the honours program and is very flexible. It allows the student to select courses in a wide variety of pure and applied mathematical areas. It can also be part of a liberal arts education with a moderate emphasis on mathematics, for example as a Minor in an Honours Major/Minor degree.
Many students find that they are not yet ready to begin an Honours
programme in Mathematics in first year. The department has
introduced the course MATH3110 for this reason. A student
who completes the regular Calculus sequence
MATH1300/1310/2310 may later take MATH3110, and use these
four half-courses as a substitute for the Honours sequence
MATH1000/1010/2010 (currently, 2310 replaces 2010).
There is also an arrangement
to allow a substitution for the first Honours course in Algebra
(MATH2021/2022). However, a student considering an Honours
degree in Mathematics should seriously consider enrolling in the Honours
courses, since they are designed for those with a genuine interest
in Mathematics. In addition, Honours students
who wish to switch back, in mid-term,
to the Ordinary stream will be accommodated
to the extent that the Registrar's Office will allow.
Statistics is an interdisciplinary field providing the foundations and
techniques to collect, analyze and present information in an effective and
efficient manner. Through its applications in almost every branch of
modern professional life and research, statistics is a fast-growing
discipline which provides a statistician with a variety of career
opportunities. A programme in statistics is an exploration of the nature
of measurement, relationships amongst measured variables, chance
variation, probability, uncertainty, inductive logic and inference.
The Honours and Ordinary BA and BSc Programmes in Statistics provide both
the mathematical foundations and the methods needed in applications. They
also provide exposure to a variety of computing environments,
an essential asset for nearly all careers today. Statistics
combines naturally with studies in the life, physical or
social sciences, economics, administrative studies or environmental studies.
The Honours programmes also provide excellent preparation for subsequent
graduate studies in statistics.
Mathematics for Commerce
Mathematics for Commerce is an ideal environment for students who wish to obtain a background in the type of Mathematics that can be applied in a business oriented career. Courses such as Computer Science, Mathematics of Investment and Actuarial Science, Mathematics with Management Applications, Operations Research, and Statistics provide the student with the necessary mathematical skills, techniques and confidence to succeed in a very demanding business world.
Graduates of this programme go on to various careers in business, industry, government, schools, colleges and universities. They become actuaries, investment managers, consultants, analysts, or statisticians. Examples of activities in which they may be involved are: optimization problems, project management, inventory control, forecasting, analysing data, investigating patterns and trends, creating mathematical models, evaluating pension funds, and detemining premiums for life insurance policies. Of course, many of the programme's students also pursue graduate degrees in areas such as Business Administration, Education, Environmental Studies, and Law.
Mathematics for Commerce offers both an Ordinary B. A. Programme and an Honours B. A. Programme.
The Ordinary degree is usually completed in three years and requires a total of 90 credits, subject to both Faculty of Arts and Department of Mathematics and Statistics requirements listed on two separate pages toward the back of this minicalendar.
The Honours degree is usually completed in four years and requires a total of 120 credits, subject to both Faculty of Arts and Department of Mathematics and Statistics requirements listed on two separate pages toward the back of this minicalendar. The Honours degree is offered in two streams:
A student seeking a B.Ed. degree pursues this degree concurrently with her or his B.A. or B.Sc.\ degree, beginning normally in the second year at York. For further information contact the Faculty of Education in S835 Ross (736-5001). Note that there are Consecutive Education programmes at several Ontario universities.
The Department places great importance on encouraging and helping
students interested in Mathematics Education, in both its
undergraduate and its graduate programmes. Professor Pat Rogers, who
is jointly appointed with the Faculty of Education, has played a very
active role in this area for many years. Concurrent or Consecutive
Education students considering mathematics as a teaching subject, and
needing advice connected with their programmes, should get in touch
with Professor Rogers or Professor Walter Whiteley.
York offers several graduate programmes in
mathematics and statistics; for details enquire at the Graduate
Programme Office in N519 Ross. (Dial 736-2100, extn. 33974, or, to
leave a message, 736-5250.)
may wish to pursue graduate work at York or elsewhere should
choose upper-level undergraduate courses with care. Advice on
this can be sought from faculty members. A ring binder of information
on applying to graduate schools is available in N537 and S525 Ross.
For a student seeking a career as an actuary, and/or wishing to pursue the self-study courses administered by the Society of Actuaries, the Honours B.A. Programme in Mathematics for Commerce is the best preparation. Further information can be found in a pamphlet available in the Undergraduate Office, N502 Ross.
Science, Technology, Culture and Society
This is a new
programme in the Faculty of Arts, which can be one component of
an Honours Double Major leading to a B.A. The co-major can be
any of several subjects, including Mathematics. Students of
mathematics who co-major in the Science, Technology, Culture and
Society programme will be exposed to literature exploring the
cultural, intellectual and social context of mathematical ideas
and their link to scientific developments. The programme offers
an interdisciplinary study of science and society through the
ages. Some courses treat topics drawn from the history and
philosophy of specific sciences, while others address such topics
as science and gender, and technology and values. Students are
encouraged to draw connections across traditional disciplinary
boundaries and to question conventional wisdom about scientific
and technological progress. They will also develop a facility
in, and appreciation for, the aims and methods of both the arts
and sciences. Graduates of this programme should be well
equipped for further studies in law, medicine, education,
journalism, and environmental policy. For more information
please consult the STCS minicalendar, available at 205 Bethune
College, or contact the Programme Secretary, Ms. Nisa Haniff
(736-5164, or extn. 55164 if calling from campus).
Operations Research Diploma
Operations Research (OR) deals with making the ``best'' decision when confronted with many choices as well as a variety of constraints in a large scale problem. Examples of typical problems are: minimizing operating costs in a large hospital while maintaining quality service to patients, finding the shortest route for a delivery truck which has many stops, or scheduling jobs on a large construction project to finish in the shortest possible time. The problems are represented by mathematical models and various algorithms are used to find the optimal solution. Because of the magnitude of these problems, computers are usually needed to execute the algorithms.
To encourage students to study OR and seek employment in this field, the Canadian Operational Research Society (CORS) offers a Diploma in Operational Research to students who complete a prescribed set of courses. To get an idea of the employment opportunities for someone with a CORS diploma, one may look through the CORS membership list. The nearly 500 members are from all across Canada as well as from 32 other countries. The CORS members work at 174 companies, institutions, and agencies, of which 64 are colleges or universities. (Some of the larger groups of CORS members in Canada are at various universities.) Outside of academia, some notable groups are at the Department of National Defence (8), CN Rail (7), Air Canada (5), and Ontario Hydro (4). CORS members also work for government agencies (federal, provincial and municipal), international agencies, utility companies, transportation authorities, manufacturing companies, banks and trust companies, and consulting firms.
In the Department of Mathematics and Statistics one can satisfy the requirements for the CORS Diploma while completing an honours degree in Applied Mathematics, Mathematics for Commerce or Statistics. The courses required for the Diploma (which are in addition to the required courses for the degree) are listed below for the various programs. Students are also encouraged to become student members of CORS and participate in their meetings. This is a very good way in which to meet practitioners in the field of OR and find out more about potential job opportunities. A membership in CORS listed on your resume will indicate to future employers your seriousness about a career in this field. You can find out more about CORS through its web page (http://www.cors.ca).
As we go to press, the faculty liaison for the CORS Diploma for 1998/99 is not known. Please inquire at N522 Ross to learn who will be liaison this year. Students who complete all courses for the diploma should arrange to have a transcript sent to this individual, who will notify CORS to grant the diploma. Further information and membership forms for CORS will also be available from this individual.
Course requirements for the CORS Diploma:
Specialized Honours or Honours Major students who wish to obtain the CORS Diploma must choose the following courses as part of their degree programme:
Mathematics for Commerce:
Mathematics for Commerce students who wish to obtain the CORS Diploma must satisfy all the requirements for the Operations Research stream in the Honours programme. (Students in the Actuarial stream will satisfy these requirements if they also take MATH4170 6.0.) They must also choose
Specialized Honours or Honours Major students who wish to obtain the CORS Diploma must choose the following courses as part of their degree program: