AS/SC/MATH 1000
3.0 F Differential Calculus (Honours Version)
2001/2002 Calendar copy:
Axioms for real numbers, limits, continuity and differentiability.
This course covers slightly fewer topics than AS/SC/AK/MATH 1300 3.0,
but covers them in greater depth. It should be taken by all those
planning an Honours degree in Mathematics or a Specialized Honours
degree in Statistics.
MATH
1000 aims to develop the students' ability to think and write clearly,
logically and precisely, and to read a mathematical text with
understanding. One goal is learning how to write proofs. (Of course,
we will not spend all our time proving things!)
It
is declared policy of the Mathematics Department to take into account,
in the grading of MATH 1000 and MATH 1010, the "newness" to
students of such "pure" mathematics courses, in order to
encourage interested students to take them. Therefore, although the
honours courses are more "theoretical", students who are
willing to put a serious effort into them should find it neither
easier nor harder to get a high mark (A, B+) in MATH 1000/1010 than to
get the same mark in MATH 1300/1310.
The
text will be S.O. Kochman, Calculus: Concepts, Applications and
Theory.
Prerequisite: AS/SC/MATH 1515 3.0 or OAC
Calculus or equivalent.
Exclusions: AS/SC/MATH 1013 3.0, AS/SC/AK/MATH 1300 3.0, AS/SC/MATH
1505 6.0, AS/MATH 1530 3.0, AS/AK/MATH 1550 6.0, AS/ECON 1530 3.0,
AK/MATH 1410 6.0.
Coordinator: TBA
AS/SC/MATH 1010 3.0 W Integral Calculus (Honours
Version)
2001/2002 Calendar copy:
Riemann integral, fundamental theorems of
calculus, transcendental functions, integration techniques, sequences,
series. This course covers fewer topics than AS/SC/AK/MATH 1310 3.0,
but covers them in greater depth. It
should be taken by all those planning an Honours degree in Mathematics
or a Specialized Honours degree in Statistics.
See
MATH 1000 description for remarks on content and grades policy. The
textbook will be the same as for MATH 1000.
Prerequisite: MATH 1000 3.0 or permission of the
department.
Exclusions: AS/SC/MATH 1014 3.0, AS/SC/AK/MATH 1310 3.0, AS/SC/MATH
1505 6.0, AS/SC/AK/MATH 3110 3.0, AK/MATH 1410 6.0.
Coordinator: TBA
AS/SC/MATH 1013 3.0 FW Applied Calculus I
2001/2002 Calendar copy:
The first half of this course deals with
differentiation and the second half with integration. Topics include
derivatives of algebraic and transcendental functions, indefinite
integrals, techniques of integration, the definite integral and its
interpretation as an area.
Three
lecture hours. Tutorials may be offered, and "Mathlab" help
will be available. The text will be Varberg, Purcell and Rigdon,
Calculus, 8th Ed. If available, secondhand or discounted, 6th or 7th
editions of Varberg and Purcell
would suffice for most purposes. All students are expected to have a
copy of the text.
Biology
and Kinesiology students are advised to consider carefully whether
they should be taking MATH 1013/1014 or MATH 1505.
Seek advice before enrolling if you are uncertain.
Applied
Mathematics students should, preferably, take the onecredit course
MATH1016 during the same term as this course, but in any case must
take it within the first 60 credits of their programs.
Prerequisite: AS/SC/MATH 1515 3.0 or OAC
Calculus.
Exclusions: AS/SC/MATH 1000 3.0, AS/SC/AK/MATH 1300 3.0, AS/SC/MATH
1505 6.0, AS/MATH 1530 3.0, AS/AK/MATH 1550 6.0, AS/ECON 1530 3.0,
AK/MATH 1410 6.0.
Coordinators: Fall: Peter Taylor Winter: TBA
AS/SC/MATH 1014 3.0 W Applied Calculus II
2001/2002 Calendar copy:
Applications of differential and integral
calculus (e.g., maxima and minima, areas, volumes of revolution,
moments and centroids, etc.), indeterminate forms, improper integrals,
Taylor series, simple ordinary differential equations and an
introduction to multivariate calculus.
This
course is a sequel to MATH 1013, and will use the same textbook. There
are three lecture hours per week.
Applied
Mathematics students should, preferably, take the onecredit course
MATH 1017 during the same term as this course, but in any case must
take it within the first 60 credits of their programs.
Prerequisites: One of AS/SC/MATH 1000 3.0, AS/SC/MATH
1013 3.0, AS/SC/AK/MATH 1300 3.0, or, for nonScience students only,
six credits in the form of: AS/MATH 1530 3.0 and AS/MATH 1540 3.0, or
AS/MATH 1550 6.0, or AS/ECON 1530 3.0 and AS/ECON 1540 3.0.
Exclusions: AS/SC/MATH
1010 3.0,AS/SC/AK/MATH 1310 3.0, AS/SC/MATH 1505 6.0,
AK/MATH 1410 6.0.
Coordinator: Kim Maltman
AS/SC/MATH 1016 1.0 F Applied Mathematics
Module I
2001/2002 Calendar copy:
Designed for students
in Applied Mathematics to complement and enrich the material
in AS/SC/MATH 1013
3.0. The module treats the theory in greater depth, and explores
extended applications and modelling.
The
focus will be on problem solving. Topics will be related to limits,
differentiation, integration, sequences and series. Attendance will
be expected. Evaluation
will be based largely on homework assignments and tests.
Further
and updated information on the course will be available at the web
site: http://www.math.yorku.ca/~muldoon/
Prerequisite: OAC
Calculus or AS/SC/MATH 1515 3.0.
Precorequisite: AS/SC/MATH 1013 3.0. Note: MATH 1016 must be taken
within the first 60 credits of a
student's program.
Coordinator:
Martin Muldoon (muldoon@yorku.ca)
AS/SC/MATH 1017 1.0 W Applied Mathematics Module II
2001/2002 Calendar copy:
Designed for students in Applied Mathematics to complement and enrich
the material in AS/SC/MATH 1014 3.0. The module treats the theory in
greater depth, and explores extended applications and modelling.
One
lecture hour per week. The focus will be on problem solving. Topics
will be related to curves, optimization,
applications of integration, differential and difference equations.
Attendance will be expected.
Evaluation will be based largely on assignments and tests.
Further
and updated information on the course will be available on the web
site: http://www.math.yorku.ca/~muldoon/
Prerequisites: AS/SC/MATH 1013 3.0 and MATH 1016 1.0.
Precorequisite: AS/SC/MATH 1014 3.0. Note: MATH 1017 must
be taken within the first 60 credits
of a student's program.
Coordinator:
Martin Muldoon (muldoon@yorku.ca)
AS/SC/AK/MATH 1021 3.0 F Linear Algebra I
Formerly AS/SC/MATH 2021 3.0  before 20012002
2001/2002 Calendar copy:
Linear equations, matrices, Gaussian
elimination, determinants and vector
spaces. This course covers material
similar to that in AS/SC/AK/MATH 2221 3.0 but at a more advanced
level. Required in Specialized Honours Statistics and all
Applied Mathematics, Mathematics,
and Mathematics for Commerce programs except the BA Program
in Mathematics for Commerce.
Important! Advisors and
students: Please see the note on page
12!
After the concepts in
logic and set theory, the most fundamental idea in all
of mathematics is that of a FUNCTION. The simplest type of function is
a LINEAR function, and linear
functions (also called linear transformations)
are what linear algebra is about. Thus, linear algebra is
mathematically more basic than, for
instance, differential
calculus, where more complicated
functions are approximated locally by linear ones. Apart from
underpinning much of mathematics,
linear algebra has a vast range of applications
 from quantum mechanics (where it is crucial) to computer
graphics to business and industry
(via statistics and linear programming).
Additional
topics: Euclidean nspace, lines and planes, linear
transformations from R^{n}
to R^{m}
, abstract vector spaces, basis
and dimension, rank and nullity of a matrix.
Prerequisite: One OAC mathematics course or
equivalent.
Exclusions: AS/SC/MATH 1025 3.0,
AS/SC/MATH 2021 3.0, AS/SC/AK/MATH
2221 3.0.
Coordinator: R.G. Burns
AS/SC/MATH 1025
3.0 FW Applied Linear Algebra
2001/2002 Calendar copy:
Topics include spherical and cylindrical coordinates in
Euclidean 3space, general matrix algebra,
determinants, vector space concepts for Euclidean nspace (e.g.,
linear dependence and independence,
basis, dimension, linear transformations,
etc.), an introduction to eigenvalues and eigenvectors.
Important! Advisors and
students: Please see the note on page
12!
The final grade will be based on assignments,
term tests and a final
exam. Note (from the Undergraduate Office):
MATH 1540 3.0 may not be taken for
credit by anyone taking, or anyone who has taken, MATH 1025.
Prerequisite: OAC
Algebra and Geometry.
Exclusions: AS/SC/AK/MATH 1021 3.0,
AS/SC/MATH 2021 3.0, AS/SC/AK/MATH
2221 3.0.
Coordinators:
Fall: Kim Maltman Winter: Buks van Rensburg
AS/SC/AK/MATH
1090 3.0 FW Introduction to Logic for
Computer Science
2001/2002 Calendar copy:
The syntax and semantics of propositional
and predicate logic.
Applications to program specification and verification.
Optional topics include set theory
and induction using the formal logical
language of the first part of the course.
Note: This course is a program requirement in COSC.
By
taking this course, students will master the syntax
and manipulations of propositional and predicate
logic, as well their informal semantics. The
proper understanding of propositional logic is fundamental
to the most basic levels of computer programming,
while the ability to correctly use variables,
scope and quantifiers is crucial in the use
of loops, subroutines, and modules, and in software design.
Logic is used in many diverse areas of computer
science including digital design, program verification,
databases, artificial intelligence, algorithm
analysis, and software specification. We will
not follow a classical treatment of logic. Instead
we will use an "equational'' treatment. This equational
approach will also be the basis for the topics
in discrete mathematics treated in MATH 2090.
See
the description of MATH 2090 (later
in this minicalendar) for further comment about the importance
of formal logic for good programming.
The
text will be Gries and Schneider, A Logical Approach
to Discrete Math
(Springer).
Prerequisite: One
OAC in mathematics or equivalent, or AK/MATH 1710 6.0.
Exclusion: This course may not be taken for
degree credit by any
student who has passed AS/SC/AK/MATH 4290 3.0.
Coordinators: Fall: Eli Brettler
Winter: J. Steprans
AS/SC/AK/MATH
1131 3.0 FW Introduction to Statistics I
2001/2002 Calendar copy:
Displaying and
describing distributions; relations in categorical data;
Simpson's paradox and the need for
design; experimental design and
sampling design; randomization; probability
laws and models;
central limit theorem; statistical inference including confidence
intervals and tests of significance; matched pairs; simulation.
Note: This course is a requirement in the ITEC program
and in Statistics programs.
Testing
a new drug, pricing a derivative asset, evaluating the effects
of free trade, making sound
investment decisions, and predicting who will
win the World Series are all
activities that have in common the need to
make sense out of
ambiguous data. The modern discipline of statistics serves
as a guide to scientists, policy makers and business managers
who must draw inferences or make decisions on the basis of
uncertain information.
MATH 1131
provides an introduction to the concepts of statistics
with an emphasis on developing an appreciation for
variability and a critical attitude towards
the use and misuse of statistics in science and business.
Statistical techniques will include
confidence intervals for means
and tests of significance.
It
is recommended that students have at least one OAC in mathematics,
but the mathematical level of the course will be quite
elementary. Although students will be making use of the
computer to calculate statistics, to create statistical plots,
and to obtain a better appreciation of statistical concepts,
no previous experience in computing is required.
Students will receive all the
necessary instruction about
how to use the statistical computer package Minitab.
Although
this course is recommended for students who wish to major
in statistics, the concepts are broadly applicable and it
should be interesting to students
who do not plan to specialize in
statistics.
The
final grade may be based on assignments and/or quizzes,
class tests and a final examination.
The text is David Moore and
George McCabe, Introduction to the Practice of Statistics,
3rd Ed..
Prerequisite: At least
one OAC in mathematics is recommended.
Exclusions: AS/SC/AK/MATH 2560 3.0,
SC/BIOL 2060 3.0, SC/BIOL
3090 3.0, AS/ECON 2500
3.0, AS/SC/GEOG 2420
3.0, AS/SC/KINE 2050
3.0, AS/SC/PHED 2050
3.0, AS/POLS 3300 6.0,
AS/SC/PSYC 2020 6.0, AS/SC/PSYC
2021 3.0, AS/SOCI 3030 6.0, AK/MATH
1720 6.0, AK/MATH 2430 6.0, AK/BIOL 3080 6.0, AK/BIOL
3080 3.0, AK/BIOL 3090 3.0, AK/ECON 3470 3.0, AK/PSYC
2510 3.0.
Coordinators: Fall: S. Chamberlin
Winter: G. Denzel
AS/SC/AK/MATH 1190 3.0 FW Introduction to
Sets and Logic
Formerly: MATH 1120 3.0, MATH 1090
3.0
2001/2002 Calendar copy:
Sets, functions,
relations, induction, proof techniques, logic and logic
circuits, basic combinatorics and some basic graph theory.
Note: This course is a program requirement in ITEC.
It
is also intended for math majors and other students wanting an
introduction to discrete
mathematics. The topics covered are widely used throughout
mathematics; many will crop up again in other mathematics
courses. The purpose of this course is to
give these topics a thorough
treatment early in a student's mathematical studies, with the
intention of enhancing his or her
understanding of future courses, irrespective
of whether those courses have MATH 1190 as a prerequisite.
The emphasis will be on
understanding the basic ideas, and developing an
appreciation for mathematical reasoning, proofs and problem solving.
In recent years this course has been
numbered as MATH 1090. Starting
in 1999/2000, the (new) course called MATH
1090 ({\it q.v.) is for computer science majors or those
intending to be computer science majors,
while the traditional topics listed
in the calendar copy above now find their home in MATH 1190.
The
textbook is still to be determined.
Prerequisite:
One OAC in mathematics or equivalent, or AK/MATH
1710 6.0.
Exclusions: AK/MATH 2441 3.0.
This course may not be taken for degree
credit by any student who has passed
AS/SC/AK/MATH 1090 3.0 or AS/SC/MATH
1120 3.0 or any 3000 or higherlevel MATH course.
Note: Students who plan to major or
minor in Computer Science must
take AS/SC/AK/MATH 1090 3.0 instead of this course.
Coordinators: Fall: TBA
Winter: S.D. Promislow
AS/SC/AK/MATH 1300 3.0 FW
Differential Calculus with
Applications
2001/2002 Calendar copy:
Limits, derivatives with applications,
antiderivatives, fundamental theorem
of calculus, beginnings of integral calculus.
Note: This course is required in COSC and ITEC programs.
Other topics include continuity, the
Mean Value Theorem, curve
sketching, L'Hospital's Rule and maximaminima.
The
text will be S.O.\ Kochman, Calculus: Concepts, Applications
and Theory, Part I.
The
final grade may be based on assignments, quizzes, class
tests and a final examination worth at least 30%.
Prerequisite: AS/SC/MATH
1515 3.0 or AK/MATH 1710 6.0 or
OAC Calculus or equivalent.
Exclusions: AS/SC/MATH 1000 3.0,
AS/SC/MATH 1013 3.0, AS/SC/MATH 1505
6.0, AS/MATH 1530 3.0,
AS/AK/MATH 1550 6.0, AS/ECON
1530 3.0, AK/MATH 1410 6.0.
Coordinators: Fall: S.O. Kochman.
Winter: TBA
AS/SC/AK/MATH
1310 3.0 FW Integral Calculus with Applications
2001/2002 Calendar copy:
Transcendental functions,
differential equations, techniques of integration, improper
integrals, infinite series. Offered in both terms.
Note: This course is a program requirement in COSC.
This
is the second in a series of introductory calculus courses.
It is designed to follow MATH 1300
3.0.
Other
topics include computation of volume, applications of
integration and infinite sequences.
The
text will be S.O. Kochman, Calculus: Concepts, Applications
and Theory, Part I or IA as well as Part II.
Note: Some
sections, including Section M, will have a computing
component. The software Maple
will be taught and used to solve certain calculus problems.
These sections will have six required Maple assignments.
For further information about these
sections, see the Math 1310 Section
M course webpage.
The
final grade may be based on assignments, quizzes, class tests and
a final examination worth at least
30\%. Some sections, including Section
M, will also have graded lab assignments.
Prerequisites: One of AS/SC/MATH 1000 3.0,
AS/SC/MATH 1013 3.0, AS/SC/AK/MATH
1300 3.0. Or, for
nonScience students only, six
credits: AS/MATH 1530 3.0 and AS/MATH
1540 3.0, or AS/AK/MATH 1550 6.0, or
AS/ECON 1530 3.0 and AS/ECON 1540 3.0.
Exclusions: AS/SC/MATH 1010 3.0, AS/SC/ MATH
1014 3.0, AS/SC/MATH
1505 6.0, AK/MATH 1410
6.0.
Coordinators:
Fall: TBA Winter: S. O. Kochman
AS/SC/MATH 1505
6.0 Mathematics for the Life and Social
Sciences
2001/2002 Calendar copy:
A presentation of the
elements of singlevariable differential and integral calculus,
elementary linear algebra and introductory probability and
statistics. This course is designed
to provide a comprehensive mathematical background
for students of the biological and social sciences.
Emphasis is placed on basic mathematical
skills and their applications. The
text and grading scheme have not been determined yet.
Prerequisite: At least
one OAC in mathematics or AS/SC/MATH 1510 6.0.
Exclusions: AS/SC/MATH 1000 3.0,
AS/SC/MATH 1010 3.0, AS/SC/MATH 1013
3.0, AS/SC/MATH 1014
3.0, AS/SC/AK/MATH 1300 3.0, AS/SC/AK/MATH
1310 3.0, AS/MATH 1530 3.0, AS/MATH
1540 3.0, AS/AK/MATH 1550 6.0, AS/ECON
1530 3.0, AS/ECON 1540 3.0, AK/MATH
1410 6.0.
Coordinator: A. Pietrowski
AS/SC/MATH 1510
6.0Fundamentals of Mathematics
2001/2002 Calendar copy:
Designed for the student whose mathematical background is weak and who
wishes to take further courses in
mathematics. Topics include algebraic equations
and inequalities; simple sequences and series; analytic geometry;
trigonometry; functions, including algebraic, exponential, logarithmic
and trigonometric functions.
It
should be noted that while the acquisition of skills needed for
taking (e.g.) a calculus course will
be emphasized, an understanding of
the underlying concepts will also be required.
The
text will probably be L.I. Holder, A Primer for Calculus
(6th Ed.). (This text was used in
19962001.)
The
final grade will probably be based on four or five class tests and
a final exam.
Exclusions: AS/MATH
1520 6.0, AK/MATH 1710
6.0. May not be taken
by any student who has taken or is currently taking another
university course in mathematics or statistics, except for
AS/SC/MATH 1500 3.0 or AS/SC/MATH
1515 3.0.
Coordinator:
J.M.N.\ Brown
AS/SC/MATH 1515
3.0 FW Introduction to Calculus
Formerly AS/SC/MATH 1500 3.0
2001/2002 Calendar copy:
Elements of
differential calculus, antiderivatives and integrals, with
applications. Designed for students
who have not taken (or have performed inadequately
in) OAC Calculus.
This
course is intended to prepare the above students for courses
which have "OAC Calculus or equivalent" as a prerequisite.
Topics
to be discussed include: limits, derivatives, tangents, rate
of change, maxima and minima, curve sketching, trigonometric
functions, logarithmic and
exponential functions, fundamental
theorem of calculus, and areas.
The text will be
Stewart, Davison, and Ferroni, Calculus
 A First Course (McGrawHill Ryerson Ltd.).
The final
grade may be based on assignments, quizzes, class tests, and a
final examination.
Prerequisite: AS/SC/MATH
1510 6.0 or one OAC
course in mathematics.
Exclusion: AS/SC/MATH 1500 3.0.
May not be taken by any student who has
taken or is currently taking
another university course in calculus.
Coordinator:
J. Wick Pelletier
AS/MATH 1530
3.0 FW Introductory Mathematics for
Economists I
2001/2002 Calendar copy:
This course
introduces and develops topics in differential calculus,
integral calculus, and their
applications in economics. This course or equivalent
is required for all Economics majors or minors; it also satisfies
the mathematics requirement for the
Schulich School of Business. It is suitable
for the Bachelor Program in Mathematics for Commerce, but
should not be taken by those who intend to major in any other
Mathematics or Statistics program or in Computer Science.
(Same as AS/ECON 1530 3.0.)
The
pair MATH 1530 3.0 and MATH 1540 3.0 is designed to give the student
an introduction to mathematics sufficient for a thorough
understanding of modern textbooks in
economic theory. The emphasis
is on the acquisition of tools for later use and on an understanding
of both concepts and techniques for applications, rather
than on theoretical proofs or a rigorous development of the
mathematics involved. The pair is
similar to MATH 1550 6.0.
Topics
will include singlevariable differentiation, limits, continuity,
series, exponential and logarithmic functions, singlevariable
optimization, and integration. Applications to problems
in economics involving supply and demand functions, maximization
of profits, elasticity of demand and consumers' surplus will
be considered.
The
text last year was Sydsaeter and Hammond, Mathematics for
Economic Analysis, together
with selected exercises from Haeussler and
Paul, Introductory Mathematical Analysis. Both of these
texts are published by Prentice
Hall. Last year a
"package''
consisting of the first text together with the selected exercises
from the second text was available from the York bookstore.
It is anticipated that the same
texts will be used this year, although students
should check with their section instructor at the start of
classes.
The
final grade may be based on term tests and/or assignments and a final
examination. Instructors will
announce details in class.
Prerequisite: AS/SC/MATH
1515 3.0 or OAC
Calculus or equivalent.
Corequisite: AS/ECON
1000 3.0 or AS/ECON 1010 3.0.
Exclusions: AS/SC/MATH
1000 3.0, AS/SC/MATH 1013 3.0, AS/SC/AK/MATH
1300 3.0, AS/SC/MATH 1505 6.0, AS/AK/MATH
1550 6.0, AS/ECON 1530 3.0, AK/MATH 1410 6.0.
Coordinators:
Fall: TBA Winter: TBA
AS/MATH 1540
3.0 FW Introductory Mathematics for Economists
II
2001/2002 Calendar copy:This
course introduces and develops topics, including matrix algebra,
optimization, comparative statics of
general function models, and their applications
in economics. This course or equivalent is required for all
Economics majors or minors; it also
satisfies the mathematics requirement for
the Schulich School of Business. (Same as AS/ECON
1540 3.0.)
This
course is normally taken by students who
have completed MATH 1530 3.0 and
are in the Bachelor Mathematics for Commerce
Program.
The
material that is covered in the course is mainly matrix algebra and
functions of many variables. The
material will be covered in a way that will be of
interest to students in economics and business. The emphasis will be
on the acquisition and
use of tools rather than on a rigorous development of the
tools. Applications will include the
solution of linear equations, and maxima
and minima of
functions of several variables with and without constraints.
The
text and grading scheme are anticipated to be the same as those for
MATH 1530 3.0.
Prerequisite: One of
AS/MATH 1530 3.0, AS/SC/MATH 1000 3.0, AS/SC/MATH 1013 3.0,
AS/SC/AK/MATH 1300 3.0, AS/ECON 1530
3.0.
Corequisite: AS/ECON
1000 3.0 or AS/ECON 1010 3.0.
Exclusions: AS/SC/MATH
1505 6.0, AS/AK/MATH
1550 6.0, AS/ECON 1540 3.0. May
not be taken by any student who has taken or is taking AS/SC/AK/MATH
1021 3.0, AS/SC/MATH 1025 3.0, AS/SC/MATH 2021 3.0, AS/SC/AK/MATH 2221
3.0, or equivalent.
Coordinators: Fall: TBA Winter:
TBA
AS/AK/MATH 1550
6.0 Mathematics with Management Applications
2001/2002 Calendar copy:
This course is
designed to provide a mathematical background for students in
the BBA (Hons.) program. It is also
suitable for the Bachelor Program in Mathematics
for Commerce, but should not be taken
by those who intend to major in any other program in Mathematics
or Statistics or in Computer Science. It
includes calculus, matrix algebra and elements
of optimization with applications to management.
This course is designed primarily for
students interested in business programs.
It satisfies a requirement for entry to the BBA (Hons.) program
in the Schulich School of Business.
One
theme of the course is optimization  how to maximize or
minimize a function subject to certain constraints. Most of the
course is a discussion of calculus
and its applications; matrix theory and
its applications are also discussed. The emphasis will be
on techniques and on applications to
business and management problems.
The content of this course is very
similar to that of the two courses MATH 1530 3.0 and MATH
1540 3.0. These courses will also satisfy the
requirements for the programs mentioned above, and they are
suitable for those who plan to major
in economics.
Those
who wish a stronger foundation in calculus, or who wish to major
in any Mathematics program other than those mentioned above,
should avoid calculus courses with
second digit 5.
The
text will be the latest edition of Haeussler
and Paul, Introductory Mathematical
Analysis ... (PrenticeHall).
The method for determining the final grade
has not yet been decided.
Prerequisite: AS/SC/MATH 1515 3.0 (may also
be taken as a
firstterm corequisite) or OAC
Calculus or equivalent.
Exclusions: AS/SC/MATH 1000 3.0,
AS/SC/MATH 1013 3.0, AS/SC/AK/MATH
1300 3.0, AS/SC/MATH
1505 6.0, AS/MATH 1530 3.0, AS/MATH
1540 3.0, AS/ECON 1530 3.0, AS/ECON 1540 3.0, AK/MATH
1410 6.0. This
course may not be taken by any student who has taken
or is taking AS/SC/AK/MATH 1021 3.0 or AS/SC/MATH
1025 3.0 or AS/SC/MATH
2021 3.0 or AS/SC/AK/MATH 2221 3.0 or equivalent.
Coordinator: P. Olin
AS/SC/MATH
1580 3.0 FThe Nature of Mathematics I
2001/2002 Calendar copy:
Designed to create a
positive attitude towards mathematics through an examination
of topics relevant to the study of mathematics at the elementary
school level. Topics include numeral
systems, number theory, nature of algebra
and geometry. Intended primarily, but not exclusively, for Education
students in the P/J stream.
The
main objectives of this course include providing
opportunities for students to achieve success
in thinking mathematically and to reflect on the learning
and practice of mathematics. The course has been
designed with prospective elementary
and middle school teachers in mind. All
students who feel that their background in
mathematics is incomplete, or whose past
experiences have caused them to avoid
mathematics, are particularly encouraged
to take this course.
The range of topics is relevant to
the formative and transition years'
curriculum. This year
there will be a substantial emphasis on
mathematics in visual form, including symmetries,
patterns and other geometry. Geometer's
Sketchpad (the provincially licensed software) will
be used for explorations of geometry in a
vivid, visual form. In
all work, an exploratory approach will be
used, in which students will work in small
groups on selected problems and projects,
using a mix of handson materials, appropriate
technology, and pencil and paper. Throughout,
the focus will be on developing
students' communication skills in
written, oral, visual and other forms within groups,
with the larger class and the instructor.
The
book Thinking Mathematically, by J.
Mason et al., is a basic resource. Material
will also be drawn from other sources, including
the internet and recent
work on how mathematics is
actually done in the human brain.
The final grade will be based on a combination
of assignments, projects and a
journal. The specific breakdown will be announced
after discussion with the class.
Further
information will be available through the web site http://www.math.yorku.ca/Who/Faculty/Whiteley/
Exclusions: Not open to any student who has
taken or is taking another university
mathematics course unless permission of the course coordinator is
obtained.
Coordinator: Walter Whiteley (whiteley@mathstat.yorku.ca)
AS/MATH 1581
3.0 FW Business Mathematics I
2001/2002 Calendar copy:
This course is an introduction
to interest rates (simple, compound), annuities (ordinary,
due, deferred), amortization (mortgages, other debts), sinking
funds, bonds (face value, bond rate, price, yield rate),
and depreciation (straight line,
constant percentage).
Note: This course has been designed for the Business and
Society Program (see also below).
A
different title for this course might be "The Mathematics
of Money''. As money moves through
time, the force of interest must be taken
into account. Doing so requires mathematical calculations, and this
course introduces some of those
calculations. While the background required
is only (the equivalent of) Ontario Grade 12 mathematics, the
course will be a universitylevel
mathematics course that requires problemsolving
skills.
This
course will be offered in both Fall term and Winter term, one section
per term. It should be particularly attractive to students in the
Business and Society Program, and
also to students in economics and businessrelated
areas. The course emphasizes problemsolving rather than
theory. Computers (spreadsheets)
will not be used; students will need a handheld
calculator which can at least calculate exponents and logarithms.
Tentatively,
the text will be P. Zima and R. L. Brown, Mathematics
of Finance, 5th Ed. (McGrawHill
Ryerson Limited, 2001), but only about half
the text (and not exactly the first half) will be covered. A
Solutions Manual for the text will
also be available for purchase.
The
grading scheme for the course has not been determined, but it will
likely involve one or two tests and a final examination.
This
course is closely related to two other MATH courses. The relationship
is: MATH 1581 3.0 plus MATH 2581 3.0 is equivalent to MATH
2580 6.0. So MATH 1581 3.0 contains about half the material that is
covered in MATH 2580 6.0 (but not
exactly the first half), while MATH 2581 3.0
contains the remaining topics from MATH 2580 6.0. Students who might
major in Mathematics for Commerce
should take either MATH 2580 6.0 or both MATH
1581 3.0 and MATH 2581 3.0. Either MATH 1581 3.0 or MATH 2580 6.0
will serve to satisfy part of the
Core requirements of the Business and Society
Program. Spreadsheets are taught in both MATH 2580 6.0 and MATH
2581 3.0.
Prerequisite:
Ontario Grade 12 Mathematics or equivalent.
Exclusion: AS/AK/MATH 2580 6.0.
Coordinators: Fall: TBA
Winter: TBA
AS/SC/MATH 1590
3.0 W The Nature of Mathematics II
2001/2002 Calendar copy:
A continuation of some
of the themes explored in AS/SC/MATH 1580 3.0. Further topics
include elements of probability and statistics, the nature of
computers, elementary set theory and
logic.
This course will continue in the spirit of
MATH 1580 3.0. The course will
provide additional opportunities for
students to develop a positive attitude
towards mathematics and to achieve success in thinking mathematically.
There will be an emphasis on problem solving both in class
and in homework assignments. Students will be encouraged to
reflect on their activities by
keeping a journal.
Many of the projects in the course will be
drawn from the book Thinking
Mathematically, by J. Mason, et al. Students should have a
copy of this book.
The
final grade will be based on a combination of assignments, projects
and participation. The specific
breakdown will be announced.
Prerequisite: AS/SC/MATH
1580 3.0 or permission of the
course coordinator.
Exclusions: Not open to any student who has
taken or is taking another
university mathematics course (except
AS/SC/MATH 1580 3.0), unless permission
of the course coordinator is obtained.
Coordinator: Martin Muldoon (muldoon@yorku.ca)
