FYCSG 05/06 REV2 - Faculty of Arts - York University
FYCSG 05/06 REV2 - Faculty of Arts - York University
FYCSG 05/06 REV2 - Faculty of Arts - York University
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Mathematics and Statistics<br />
The Department <strong>of</strong> Mathematics and Statistics <strong>of</strong>fers a wide range <strong>of</strong> courses in both pure<br />
and applied mathematics and statistics. These meet the needs <strong>of</strong> students who wish to<br />
major in mathematics or statistics as well as those who require some knowledge <strong>of</strong><br />
mathematics or statistics in other disciplines. In addition, there are courses for those<br />
who have a general interest in these subjects.<br />
ACTUARIAL PROFESSION<br />
Students interested in the actuarial pr<strong>of</strong>ession should consult the Department <strong>of</strong> Mathematics<br />
and Statistics for guidance. The department will be glad to suggest a program<br />
<strong>of</strong> courses which will be helpful in preparing for examinations <strong>of</strong> the Society <strong>of</strong> Actuaries.<br />
OPERATIONS RESEARCH<br />
The Canadian Operational Research Society (CORS) has recognized that graduation from<br />
a program in Applied Mathematics, Mathematics, or Statistics with a prescribed set <strong>of</strong><br />
courses will qualify a student for the Diploma in Operations Research awarded by CORS.<br />
Interested students should consult the Department <strong>of</strong> Mathematics and Statistics for<br />
guidance.<br />
APPLIED MATHEMATICS<br />
The degree programs in Applied Mathematics give students a good mathematical background<br />
and an understanding <strong>of</strong> mathematical methods, with emphasis on their applications<br />
in the sciences. Courses on computational and statistical techniques which are<br />
useful in many pr<strong>of</strong>essions are an important part <strong>of</strong> the programs.<br />
MATHEMATICS<br />
The Honours BA Programs in Mathematics are suitable for students who have a special<br />
fondness for mathematics. They provide an excellent background for many occupations<br />
demanding skills in mathematical reasoning and techniques. Those who wish to go on<br />
to graduate studies in mathematics should probably be in one <strong>of</strong> these programs.<br />
The BA Program provides a degree in mathematics that is very flexible and allows the<br />
student to select courses in a wide variety <strong>of</strong> pure and applied mathematical areas. It can<br />
also be part <strong>of</strong> a liberal arts education with a moderate emphasis on mathematics. For<br />
example, you may wish to co-register in the <strong>Faculty</strong> <strong>of</strong> Education and obtain a BA and<br />
a BEd with a concentration in mathematics.<br />
MATHEMATICS FOR COMMERCE<br />
The Honours BA in Mathematics for Commerce is split into two streams to help guide<br />
students towards courses reflecting their areas <strong>of</strong> interest. The streams are the Actuarial<br />
Stream and the Operations Research Stream. These provide rigorous basic training in<br />
several areas <strong>of</strong> mathematics and statistics useful in today’s employment market,<br />
including mathematics <strong>of</strong> investment, actuarial science (i.e., life insurance mathematics),<br />
and operations research (i.e., the mathematics <strong>of</strong> optimal resource allocation). Fourth year<br />
advanced courses give extra depth in areas such as Applied Statistics, Applied Optimization<br />
and Accounting. A basic computer course is also required <strong>of</strong> each <strong>of</strong> the streams<br />
and several <strong>of</strong> the mathematics and statistics courses involve the use <strong>of</strong> a computer.<br />
It is an ideal program for those who wish to receive the CORS diploma awarded by the<br />
Canadian Operations Research Society or to prepare for some <strong>of</strong> the Associateship examinations<br />
<strong>of</strong> the Society <strong>of</strong> Actuaries. Graduates from the program have many career<br />
opportunities in a wide variety <strong>of</strong> businesses or government agencies. Students who wish<br />
to continue studies at the graduate level will be well prepared to undertake the Master<br />
<strong>of</strong> Business (MBA degree). This combination will produce managers whose strong quantitative<br />
methods orientation will make them attractive to a large number <strong>of</strong> employers.<br />
The Minor and BA program in Mathematics for Commerce provide basic grounding in<br />
several areas useful in many pr<strong>of</strong>essions: statistics, mathematics <strong>of</strong> investment, actuarial<br />
science, and operations research. A basic computer course is also a requirement, and<br />
several <strong>of</strong> the mathematics and statistics courses involve the use <strong>of</strong> a computer. With the<br />
Minor or BA degree in Mathematics for Commerce, you may continue your education by,<br />
for example, applying to enter the MBA program at <strong>York</strong>.<br />
STATISTICS<br />
Information and innovation are the economic fuel <strong>of</strong> the new millenium. Statistics is an<br />
interdisciplinary field providing the foundations and techniques to collect, analyze and<br />
present information in an effective and efficient manner. Through its application in<br />
almost every branch <strong>of</strong> modern pr<strong>of</strong>essional life and research, statistics is a rapidly<br />
growing discipline which provides a statistician with a wealth <strong>of</strong> career opportunities. A<br />
program in statistics is an exploration <strong>of</strong> the nature <strong>of</strong> measurement, relationships<br />
amongst measured variables, chance variation, probability, simulation, uncertainty,<br />
inductive logic and inference.<br />
The degree programs in Statistics provide both the mathematical foundations and the<br />
methods needed in applications. They also provide exposure to a variety <strong>of</strong> computing<br />
environments, an essential asset for nearly all careers today. The Honours BA programs<br />
also provide excellent preparation for subsequent graduate studies in statistics.<br />
Statistics combines naturally with studies in the life, physical or social sciences,<br />
economics, mathematics for commerce, administrative studies or environmental studies.<br />
A particularly potent combination for high quality career opportunities is information<br />
technology and statistics. The specialized honours program in Information Technology<br />
and Statistics has been specially designed to meet the needs and interests <strong>of</strong> students<br />
desiring this program <strong>of</strong> study.<br />
CALCULUS OPTIONS FOR FIRST-YEAR STUDENTS<br />
AS/SC/MATH1510 6.0 is intended for students who, despite having one or more 12Us<br />
or equivalents in mathematics, have a weak mathematical background.<br />
AS/SC/MATH1510 6.0 can serve as preparation for AS/SC/MATH1515 3.0 which provides<br />
an entrance to further calculus courses.<br />
BBA students who wish to take only a minimum amount <strong>of</strong> mathematics should take<br />
both AS/MATH1530 3.0 and AS/MATH1540 3.0, or AS/MATH1550 6.0. The prerequisite<br />
for these courses is AS/SC/MATH1515 3.0, or OAC Calculus, or 12U Advanced Functions<br />
and Introductory Calculus, or equivalent.<br />
A student with at least one OAC or 12U in mathematics or equivalent, but without<br />
previous calculus, must begin the study <strong>of</strong> calculus with AS/SC/MATH1515 3.0.<br />
A student with OAC Calculus, or 12U Advanced Functions and Introductory Calculus, or<br />
equivalent can begin with AS/SC/MATH1000 3.0, or AS/SC/MATH1013 3.0, or<br />
AS/SC/MATH1300 3.0, and then take AS/SC/MATH1010 3.0, or AS/SC/MATH1014 3.0,<br />
or AS/SC/MATH1310 3.0.<br />
COURSE NUMBERING<br />
Courses with second digit 5 cannot be used to satisfy departmental degree requirements<br />
except (i) by students in the Honours Minor or BA program in Mathematics for<br />
Commerce; and (ii) by students in other programs in a few cases as noted in program<br />
descriptions.<br />
AS/SC/MATH1000 3.0 Differential Calculus: (Honours Version.) Axioms for real<br />
numbers, limits, continuity and differentiability. This course covers slightly fewer<br />
topics than AS/SC/AK/MATH1300 3.0, but covers them in greater depth. It should be<br />
taken by all those planning an Honours degree in Mathematics or a Specialized Honours<br />
degree in Statistics.<br />
Prerequisite: AS/SC/MATH1515 3.0 or OAC Calculus or equivalent.<br />
Degree credit exclusions: AS/SC/MATH1013 3.0, AS/SC/AK/MATH1300 3.0,<br />
AS/SC/MATH15<strong>05</strong> 6.0, AS/MATH1530 3.0, AS/AK/MATH1550 6.0, AS/ECON1530 3.0.<br />
AS/SC/MATH1010 3.0 Integral Calculus: (Honours Version.) Riemann integral, fundamental<br />
theorems <strong>of</strong> calculus, transcendental functions, integration techniques,<br />
sequences, series. This course covers fewer topics than AS/SC/AK/MATH1310 3.0,<br />
but covers them in greater depth. It should be taken by all those planning an Honours<br />
degree in Mathematics or a Specialized Honours degree in Statistics.<br />
Prerequisite: AS/SC/MATH1000 3.0 or permission <strong>of</strong> the department.<br />
Degree credit exclusions: AS/SC/MATH1014 3.0, AS/SC/AK/MATH1310 3.0,<br />
AS/SC/MATH15<strong>05</strong> 6.0, AS/SC/AK/MATH3110 3.0.<br />
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