| MATH 0110 |
PRE-UNIVERSITY MATHEMATICS |
Yes |
|
Yes |
2011-F/W |
|
Topics from high school mathematics. This course serves as a
prerequisite for courses that require NS Grades 11 and 12 Academic Math
or their equivalent.
Prereq: with permission of the instructor
|
| MATH 0120 |
ADVANCED PRE-UNIVERSITY MATHEMATICS |
Yes |
|
Yes |
2011-F/W |
|
Topics from pre-calculus mathematics. This course serves as a
prerequisite for courses that require NS Grades 11 and 12 Advanced
Mathematics and Precalculus or their equivalents.
Prereq: with permission of the instructor
|
| MATH 1013 |
INTRODUCTORY CALCULUS 1 |
Yes |
|
|
2011-F/W |
|
Limits, tangent lines and derivatives. Applications of the derivative
to rates, extrema and curve sketching. The definite integral and its
application to determining area. (3h lecture, 1.5h studio)
Prereq: 60% or better in NS Precalculus (or equiv) OR 60% or better in
Math 0120. Satisfactory performance in diagnostic test is additionally
required.
|
| MATH 1023 |
INTRODUCTORY CALCULUS 2 |
Yes |
Yes |
|
2011-F/W |
|
Exponentials and logarithms, techniques of integration, volumes and
arc length, indeterminate forms, improper integrals, polar coordinates.
(3h lecture, 1.5h studio)
Prereq: Math 1013. It is strongly recommended that Math 1013 be
completed in the previous semester.
|
| MATH 1213 |
STATS:BUSINESS/BEHAVIORAL SCIENCES 1 |
Yes |
|
|
2011-F/W |
|
Descriptive statistics, exploratory data analysis, correlation, least
squares line, probability, random variables, normal distribution,
sampling distributions, estimation and confidence intervals, elementary
hypothesis testing, one-way analysis of variance using nonparametric
and parametric tests. (3h lecture, 1.5h studio)
Prereq: NS Grade 11 Academic or Advanced Math OR Math 0110
Note: Credit cannot be obtained for both Econ 2613 and Math 1213.
|
| MATH 1223 |
STATS:BUSINESS/BEHAVIORAL SCIENCES 2 |
Yes |
|
|
2011-F/W |
|
Binomial distribution and normal approximation to the Binomial,
hypothesis testing and non-parametric inference for one and two
populations, goodness-of-fit and contingency tables, one-way analysis of
variance and multiple comparisons; block designs; Friedman test; further
topics in regression. (3h lecture, 1.5h studio)
Prereq: Math 1213
|
| MATH 1313 |
FOUNDATIONS |
Yes |
|
|
2011-F/W |
|
Topics may include: Number systems. Complex numbers and De Moivre's
theorem. Base arithmetic. Sets, set operations. Methods of proof, logic,
truth tables, and quantifiers. Permutations and combinations. The
binomial theorem. Relations and functions. One-to-one and onto mappings.
Basic number theory. Equivalence relations. Congruences. Simple codes.
Graph theory.
Prereq: NS Grade 11 and 12 Academic or Advanced Math (or equiv) OR 60%
or better in each of NS Grade 11 and 12 Academic Math (or equiv)
|
| MATH 1323 |
MATRIX ALGEBRA |
Yes |
|
|
2011-F/W |
|
Systems of linear equations, matrices, vectors in two and three
dimensions, row reduction and echelon forms, linear independence and
span, linear transformations, matrix operations, Invertible Matrix
Theorem, subspaces, determinants, Cramer's Rule, eigenvectors and
eigenvalues; a computational approach, with applications.
Prereq: NS Grade 11 and 12 Academic or Advanced Math (or equiv); OR Math
0120
|
| MATH 1333 |
INTRODUCTION TO LINEAR ALGEBRA |
Yes |
|
|
2011-F/W |
|
Systems of linear equations, matrices, vectors, row reduction and
echelon forms, linear independence and span, linear transformations,
matrix operations, Invertible Matrix Theorem, elementary matrices, LU
Decomposition, subspaces, determinants and multilinear functions,
Cramer's Rule, eigenvalues and eigenvectors, geometry of vector spaces,
Singular Value Decomposition if time permits; a proof-based approach,
with applications.
Prereq: NS Grade 11 and 12 Academic or Advanced Math (or equiv); OR Math
0120
|
| MATH 1413 |
DISCRETE MATHEMATICS |
Yes |
|
Yes |
2011-F/W |
|
Logic, techniques of proof, mathematical induction, sets, relations and
and functions, equivalence relations and partial orders, matrix
arithmetic, solutions of systems of linear equations.
Prereq: NS Grade 11 and 12 Advanced Math and Pre-calculus (or equiv) and
computer science enrolment
|
| MATH 1503 |
CONTEMPORARY MATHEMATICAL CONCEPTS |
Yes |
|
|
2010-F/W |
|
This course is designed to give students a measure of insight into
modern mathematics, especially those looking forward to a career in
elementary education. Topics will include propositional logic, number
systems, calculus of sets, solution of equations and inequalities, and
geometry. Emphasis is placed on the understanding and use of the various
concepts that are introduced. Science students, business students, and
economics students and mathematics and statistics majors may not receive
credit for this course.
|
| MATH 1513 |
TRUTH IN NUMBERS |
Yes |
|
|
2011-F/W |
|
The mathematical and statistical applications that appear in day-to-day
media are discussed. Topics may include elections, fair division,
climate change, environment, public health, epidemiology, finances,
google searches, cryptography, and polls, and will be based on stories
in the media. The course will teach numeracy skills to understand these
topics. The course cannot be used to meet the Mathematical requirement
for Math or other Science majors.
|
| MATH 1613 |
GEN LINEAR ALGEBRA CALC:BUSI/ECON |
Yes |
Yes |
Yes |
2011-F/W |
|
Linear equations and their graphs. Systems of linear equations and
linear inequalities. Polynomials, exponential and logarithmic functions.
Vector and matrix algebra. Derivatives and optimization. Applications to
business and economics are integrated throughout the course. Emphasis
is on understanding how problems are formulated mathematically and on
interpretation of mathematically-expressed real-world problems.
Prereq: NS Grade 11 and 12 Academic or Advanced Math (or equiv) OR Math
0120. Satisfactory performance in diagnostic test may be additionally
required.
|
| MATH 2013 |
ADVANCED CALCULUS |
Yes |
|
|
2011-F/W |
|
Functions of several variables. Partial differentiation and
applications. Vectors in R² and R³. Multiple and iterated
integrals. Polar coordinates, spherical and cylindrical coordinates
and multiple integrals. Change of variable in multiple integrals.
Vector-valued functions and vector calculus. (3hr lecture, 1.5 hr
studio)
Prereq: Math 1023 with C- or better
|
| MATH 2023 |
DIFFERENTIAL EQUATIONS I |
Yes |
|
|
2011-F/W |
|
First order differential equations, second order differential equations
with constant and variable coefficients, introduction to systems of
differential equations and phase plane analysis, series solutions,
boundary value problems, Laplace transforms. (3h lecture, 1.5h studio)
Prereq: Math 1023
|
| MATH 2213 |
APPL PROBABILITY SCI/ENGI |
Yes |
|
|
2011-F/W |
|
Descriptive statistics, combinatorics, probability spaces, random
variables, probability modeling, discrete and continuous distributions,
joint distributions, covariance, correlation, sampling distributions,
central limit theorem, simple linear regression. (4.5h lecture/studio
combined)
Prereq: Math 1023
|
| MATH 2223 |
APPLIED STATISTICS FOR SCIENCE |
Yes |
|
|
2011-F/W |
|
Estimation, confidence intervals, testing hypotheses, non-parametric
methods, goodness of fit, regression, analysis of variance. (4.5h
lecture/studio combined)
Prereq: Math 2213
|
| MATH 2233 |
STATISTICS FOR LIFE SCIENCES 1 |
Yes |
|
|
2011-F/W |
|
Exploratory data analysis, probability, random variables, discrete and
continuous distributions, sampling distributions, estimation confidence
intervals, hypothesis testing. This course is restricted to students in
biology, environmental science, computer science, nutrition, and
psychology. (3h lecture, 1.5h studio)
Prereq: NS Grade 11 and 12 Academic or Advanced Math OR Math 0120.
Biology students require second year standing or permission from the
Department Head.
|
| MATH 2243 |
STATISTICS FOR LIFE SCIENCES 2 |
Yes |
|
|
2011-F/W |
|
Parametric and non-parametric inference for one and two populations,
chi-square tests for goodness of fit, independence and homogeneity,
simple linear regression, experimental design and analysis of variance.
(3h lecture, 1.5h studio)
Prereq: Math 2233 with C- or better
|
| MATH 2313 |
LINEAR ALGEBRA 2 |
Yes |
|
|
2011-F/W |
|
Abstract vector spaces, subspaces including null space and column space,
linear transformations, coordinate systems, dimension, rank, change of
basis, eigenvalues and eigenvectors, characteristic equation,
diagonalization, inner product and orthogonality, orthogonal
projections, Gram-Schmidt algorithm, inner product spaces, quadratic
forms, Cayley-Hamilton Theorem.
Prereq: Math 1323 or 1333
|
| MATH 2433 |
GRAPH THEORY/ALGEBRAIC STRUCTURES |
Yes |
|
|
2010-F/W |
|
Graphs and trees with application to computer science, number theory,
monoids, semi-groups, groups and homomorphisms with application to
computer science, formal languages, finite state automata, and Turing
machines.
Prereq: Math 1413 or 1313
|
| MATH 2723 |
INTRO DIFFERENTIAL EQUATIONS |
Yes |
|
|
2011-F/W |
|
First order differential equations, separation of variables, exact
differential equations, integrating factors, second order
differential equations with constant coefficients, general solutions,
non-homogeneous equations, applications, equations with variable
coefficients, series solutions, Laplace transforms. (4.5h lecture)
Prereq: Math 1023
|
| MATH 2753 |
MULTIVARIATE CALCULUS FOR APPL SCI |
Yes |
|
|
2011-F/W |
|
Topics will include systems of linear equations, matrix algebra, vectors
in 2- and 3- space. Functions of several variables, partial derivatives.
Vector-valued functions, space curves, arc length, curvature. Multiple
and iterated integrals in rectangular, cylindrical, and spherical
coordinates. Scalar and vector fields, line integrals, calculus of
vector functions. (4.5h lecture)
Prereq: Math 1023
|
| MATH 3013 |
STUDIES IN MATHEMATICS/STATISTICS 1 |
Yes |
|
|
2010-F/W |
|
Study of a particular topic in mathematics or statistics.
Prereq: 6h Math at 2000 level with C- or better and permission of
department
|
| MATH 3023 |
STUDIES IN MATHEMATICS/STATISTICS 2 |
|
|
|
- |
|
Study of a particular topic in mathematics or statistics.
Prereq: 6h Math at 2000 level with C- or better and permission of
department
|
| MATH 3213 |
PROBABILITY |
|
|
|
2011-F/W |
|
Elementary set theory, outcome spaces, probability spaces, laws of
probability (discrete and continuous), independence, conditionality,
random variables, random vectors, distributions of functions of
random variables, moments and moment generating functions, special
distributions, law of large numbers, central limit theorem.
Prereq: Math 2013, 2223
|
| MATH 3233 |
REGRESSION |
Yes |
|
|
2010-F/W |
|
An introduction to the methodology and theory involved in multi-linear
regression. Topics include variable selection, indicator variables,
correlation analysis and general linear hypothesis testing.
Prereq: Math 1323 or permission of dept. and Math 2223
|
| MATH 3253 |
NONPARAMETRIC STAT INFERENCE |
Yes |
|
|
2010-F/W |
|
Nonparametric statistical inference and statistical methods based on
ranks. Topics include: rank and sign tests, linear rank statistics,
nonparametric analysis of variance, measures of concordance, relative
power and efficiency.
Prereq: Math 2223
|
| MATH 3263 |
SAMPLING THEORY |
Yes |
|
|
2010-F/W |
|
Statistical surveys, simple random sampling, sampling proportions and
percentages, estimation of sample size, ratio and regression estimators,
stratified random sampling, cluster sampling, probability sampling.
Prereq: Math 2223
|
| MATH 3273 |
DESIGN & ANALYSIS OF EXPERIMENTS |
|
|
|
2011-F/W |
|
Single and multi-factor analysis of variance, fixed and random effects
models, analysis of co-variance, experimental design, including
randomized block designs, balanced incomplete block designs, and
factorial designs. Other topics may include repeated measures, split
plot designs, response surface models, and fractional factorial designs.
Prereq: Math 2223 with a minimum of C-
|
| MATH 3283 |
TIME SERIES |
|
|
|
2011-F/W |
|
Seasonal effects, trends, descriptive methods. Stochastic processes,
moving average and autoregressive processes. Autocorrelation. Model
fitting and Box Jenkins models. Forecasting. Regression based
procedures.
Prereq: Math 2223 or permission of dept.
|
| MATH 3293 |
APPLIED MULTIVARIATE STATISTICS |
Yes |
|
|
2010-F/W |
|
Topics include: descriptive and graphical methods, multivariate normal,
principal components, factor analysis, canonical correlations. Cluster
analysis, multidimensional scaling, discriminant analysis.
Prereq: Math 2223
|
| MATH 3303 |
ALGEBRA 1 |
Yes |
|
|
2010-F/W |
|
Modern mathematics with emphasis on the fundamental concepts and
structures of algebra. Introduction to groups, rings and fields. Topics
including homomorphisms, isomorphisms, quotient structures, finite
fields.
Prereq: Math 2313
|
| MATH 3343 |
COMBINATORICS |
Yes |
|
|
2010-F/W |
|
The basic concepts and problems in combinatorial analysis, with
applications. Topics include enumeration, selections and arrangements,
distributions, binomial identities, Stirling numbers, recurrence
relations, generating functions, inclusion-exclusion, Polya's theorem,
designs.
Prereq: Math 2213
|
| MATH 3413 |
NUMERICAL METHODS |
Yes |
|
|
2010-F/W |
|
Floating point computation, errors and their propagation, linear
systems of equations, nonlinear equations, interpolation, numerical
differentiation and integration. The solution of mathematical problems
on a computer forms an integral part of the course.
Prereq: Math 1023 and one of 1323 or 1333 or 1413
|
| MATH 3513 |
NUMBER THEORY |
|
|
|
2011-F/W |
|
The basic concepts and problems of number theory. Topics included are
properties of integers, divisibility and primes; congruences, power
residues and quadratic reciprocity; Diophantine equations.
Prereq: Math 2313 or permission of the instructor
|
| MATH 3533 |
REAL ANALYSIS 1 |
Yes |
|
|
2011-F/W |
|
Set theory, countability, the real number system, sequences, limits,
series, functions, continuity, point set topology on the real line,
the Riemann Integral, differentiation.
Prereq: Math 2013 or 2753
|
| MATH 3543 |
COMPLEX VARIABLES |
|
|
|
2011-F/W |
|
Complex numbers, analytic functions, elementary functions; contour
integrals, Cauchy integral formula, maximum modulus theorem, series,
residues and poles, conformal mapping; applications.
Prereq: Math 2023 or 2753
|
| MATH 3573 |
HISTORY OF MATHEMATICS |
|
|
|
2003-F/W |
|
A study of the history of mathematics from the seventeenth century
onward, with particular emphasis being placed on the shift from
classical methods to the more abstract modern setting. Topics covered
may include: the vibrating string, Cauchy and the definition of
limits, the origins of set theory, non-Euclidean geometry, the
development of group theory from Lagrange to Klein and Lie.
Prereq: one of Math 2013 or 2753, and one of Math 2023 or 2723
|
| MATH 3603 |
OPER RESEARCH 1:PROGRAMING/NETWORKS |
|
|
|
2011-F/W |
|
This course will provide an overview of the operational research
modelling approach, and focuses on deterministric mathematical
programming. Topics may include linear programming, transportation
and assignment problems, network methods, integer programming, and
nonlinear programming.
Prereq: Math 2313 and either Math 2013 or 2753
|
| MATH 3633 |
OPER RESEARCH 2:STOCHASTIC MODELS |
Yes |
|
|
2010-F/W |
|
This course will focus on stochastic modelling. Topics may include
decision analysis, simulation, recurrent events such as birth and
death processes, Markov processes, queuing theory and waiting line
models, and inventory control.
Prereq: Math 2223, 2313
|
| MATH 3713 |
ORDINARY DIFFERENTIAL EQUATIONS II |
Yes |
|
|
2011-F/W |
|
Topics include systems of linear differential equations, Sturm-Liouville
problems, orthogonal functions, Fourier series, dynamical systems,
nonlinear systems.
Prereq: Math 2023 or 2723
|
| MATH 4013 |
TOPICS IN MATH AND STATS 1 |
Yes |
|
|
2010-F/W |
|
Senior-level study of a particular topic in mathematics or statistics.
Prereq: 6h Math at 3000 level with C- or better, and permission of dept.
|
| MATH 4023 |
TOPICS IN MATH AND STATS 2 |
|
|
|
2011-F/W |
|
Senior-level study of a particular topic in mathematics or statistics.
Prereq: 6h Math at 3000 level with C- or better, and permission of dept.
|
| MATH 4213 |
MATHEMATICAL STATISTICS |
|
|
|
2011-F/W |
|
Sampling distributions, elementary decision theory, estimation,
testing hypotheses.
Prereq: Math 3213
|
| MATH 4223 |
GENERALIZED LINEAR MODELS |
Yes |
|
|
2010-F/W |
|
Review of least squares linear regression and maximum likelihood
estimation. Generalized linear models, including binomial (logistic)
regression, Poisson regression, contingency tables and log-linear
models. Other topics in regression modelling such as survival analysis.
Prereq: two of Math 3213, 3233, 3253, 3263, 3273, 3283, 3293
|
| MATH 4233 |
STATISTICAL CONSULTING |
|
|
|
2011-F/W |
|
The course aims to develop broad guidelines for a comprehensive approach
to data analysis. Topics include data preparation, outlier detection and
exploratory data analysis. Criteria for the selection of suitable
methodologies are discussed as well as model validation methods and
empirical evaluations methods. The course will be based largely on case
studies.
Prereq: 6h from Math 3233, 3253, 3263, 3273, 3293; Coreq: 3h statistics
course from the above list
|
| MATH 4323 |
ALGEBRA 2 |
Yes |
|
|
2010-F/W |
|
Group theory, fields, field extensions, leading to Galois theory.
Prereq: Math 3303
|
| MATH 4333 |
CRYPTOGRAPHY |
|
|
|
2011-F/W |
|
This course is an introduction to modern cryptographic techniques and
their mathematical foundations. Review of elementary number theory and
algebra; classical cryptosystems; encryption standards; public key
cryptosystems; digital signatures. Elliptic curve cryptography and
quantum cryptography may be included.
Prereq: Math 3303 or 3513
|
| MATH 4343 |
GRAPH THEORY |
|
|
|
2011-F/W |
|
Isomorphism, classes of graphs, vertex degrees, graphics sequences,
properties of trees, spanning trees, decompositions, Eulerian graphs,
Hamilton graphs, matchings and factorizations including Hall's Theorem,
connectivity, graph colouring, planar graphs including Euler's Formula,
extremality, optimization.
Prereq: Math 2313 and a Math 3000/4000 level course either taken
previously or concurrently
|
| MATH 4423 |
ADVANCED NUMERICAL METHODS |
|
|
|
2009-F/W |
|
Numerical differentiation and integration, numerical solution of
differential equations, optimization. The solution of problems on a
computer forms an integral part of the course.
Prereq: Math 3413 and enrolment in one 3000-level mathematics and
statistics course
|
| MATH 4513 |
INTRODUCTORY TOPOLOGY |
Yes |
|
|
2010-F/W |
|
Topological spaces; closure, interior, and boundary; bases; mappings and
continuity; compactness and covering; connectedness; product spaces;
metric spaces; completeness; applications.
Prereq: Math 3533
|
| MATH 4523 |
MEASURE & INTEGRATION |
|
|
|
2004-F/W |
|
Measurable sets. Lebesgue and Stieltjes integrals in Rn and abstract
spaces. Selected applications.
Prereq: Math 3533
|
| MATH 4553 |
REAL ANALYSIS 2 |
|
|
|
2011-F/W |
|
A continuation of 3533. Topics include integration, infinite series and
power series, convergence in Rn, topology in Rn, continuity and
differentiability for multivariate functions, implicit and inverse
function theorems, extra topics such as Fourier series if time permits.
Prereq: Math 3533
|
| MATH 4623 |
DISCRETE AND COMB OPTIMIZATION |
|
|
|
- |
|
The course emphasizes practical algorithms in discrete optimization. It
provides an introduction to polyhedral theory and complexity theory.
Topics in general integer programming include facets and strong valid
inequalities, Langrangean relaxation and duality, and analysis of
general-purpose algorithms such as branch and bound and cutting plane
algorithms.
Prereq: Math 3603
|
| MATH 4753 |
PARTIAL DIFFERENTIAL EQUATIONS |
Yes |
|
|
2010-F/W |
|
Topics may include linear second order partial differential equations
(parabolic, elliptic, and hyperbolic), separation of variables,
eigenfunction expansion, Fourier series, method of characteristics,
non-linear waves.
Prereq: Math 3713 and either Math 2013 or 2753
|
| MATH 4763 |
SIGNAL APPROXIMATION/ANALYSIS |
|
|
|
2006-F/W |
|
Approximation theory, Fourier analysis, wavelet analysis, discrete
signal processing, applications to audio and image processing and
coding.
Prereq: Math 2313 and 3533
|
| MATH 4773 |
FLUID DYNAMICS |
Yes |
|
|
2011-F/W |
|
Topics may include the Navier-Stokes equations, streamlines,
circulation, vorticity, irrotational flow, potential flow, laminar flow,
gravity waves, dimensional analysis, geophysical fluid dynamics,
turbulence, hydrodynamic instability.
Prereq/Coreq: Math 4753 or permission of instructor
|
| MATH 4913 |
HONOURS PROJECT |
|
|
|
2011-F/W |
|
A honours project in mathematics or statistics to be completed in
conjunction with the honours student's advisor. An oral report (seminar)
and a written report on the project are required in the second term.
Prereq: at least third year standing in the honours program
|
| MATH 4996 |
HONOURS THESIS |
Yes |
|
|
2011-F/W |
|
|
