maths 300 Level

335 Management Science
This course prepares students for careers as analysts and consultants in industries
with a focus on enhancing business value through operations, logistics and supply
chain management. A variety of successful implementations of management
science/operations research tools in different application areas will be studied. Tools
such as linear programming, project scheduling with uncertain activity times, various
inventory models and simulation will be introduced and coupled with application in
the fields of managing operations in manufacturing, long term financial planning
and management of healthcare systems. Cross-listed as CSCI 335. Prerequisites:
MATH 106/126 or MATH 105 or CSCI 161. Three credits.

347 Combinatorics
The course covers the principle of inclusion and exclusion; generating functions;
recurrence relations; rings and modular arithmetic; finite state machines; group
and coding theory; Pólya’s method of enumeration; finite field and combinatorial
design; graph theory. Prerequisite: MATH 277. Three credits. Not offered 2017-
2018; next offered 2018-2019.

354 Modern Algebra I
This course introduces algebraic structures such as groups, rings and fields
along with fundamental algebraic concepts such as symmetries, permutations,
isomorphisms and homomorphisms. Applications from diverse areas may
include coding theory, crystallography, circuits, logic, geometry and graph theory.
Prerequisites: MATH 254, 277. Three credits.

361 Advanced Vector Calculus
Topics include vectors; vector differentiation including gradient, divergence, and
curl; vector integration including the Gauss and Stokes theorems. Prerequisites:
MATH 222 or 267 and 223 or 253. Three credits.

366 Real Analysis I
This course considers rigorous development of the real number system; numerical
sequences and series; properties of continuous functions; metric spaces; sequences
and series of functions. Prerequisites: MATH 254, 267 and 277. Three credits.

367 Differential Equations
Topics include first- and second-order linear differential equations; systems of linear
differential equations; methods of solution including Laplace transforms and series
solution; introduction to non-linear differential equations and numerical methods.
Credit will be granted for only one of MATH 367 or MATH 221. Prerequisites: MATH
107 or 127(112). Three credits.

371 Modern Geometries
A brief survey of geometries including projective, affine, similarity, equiareal,
Euclidean, and non-Euclidean. Emphasis is on the invariants of transformational
geometry. Prerequisite: MATH 277. Three credits. Not offered 2017-2018; next
offered 2018-2019.

372 Number Theory
Topics include divisibility of integers; congruences; the Chinese remainder theorem;
quadratic residues and non-residues; Gaussian reciprocity law; number theoretic
functions; and the Moebius inversion formula. Prerequisite: MATH 277. Three
credits. Offered 2017-2018 and in alternate years.

384 Numerical Methods
This course covers methods used to solve mathematical problems on computer
systems, including mathematical background and error analysis of solutions to
non-linear equations; polynomial interpolations; integration and differentiation;
quadrature methods; systems of equations and differential equations. Prerequisites:
MATH 223 or 253; CSCI 161 or 125. Three credits. Offered 2017-2018 and in
alternate years.

387 Mathematical Modelling
This course teaches the use of mathematical models to solve real-world problems.
The modelling cycle will be practiced using problems found in the real world.
Prerequisites: MATH 222 or 267, and MATH 223 or 253. Three credits. Not offered
2017-2018; next offered 2018-2019.

389 Financial Mathematics
Topics include stochastic models of financial markets; forward and futures contracts;
European options and equivalent Martingale measures; hedging strategies and
management of risk; term structure models and interest rate derivatives; and optimal
stopping and American options. Ito’s lemma and Girsanov’s theorem to develop
methods for pricing financial derivatives are examined. Pricing problems are considered
in discrete (Binormal option price model) and continuous-time (Black-Scholes Merton
price model). Credit will be granted for only one of MATH 389 or MATH 471 offered
in 2012-2013. Prerequisites: MATH 106 or 126(111); STAT 101(201) or 231. Three
credits. Offered 2017-2018 and in alternate years.

399 Selected Topics
The topic for 2020-2021 is Sports Analytics. Modern sports science and professional teams increasingly require the use of applied statistical and analytical techniques. This course introduces the use of statistical analysis in a variety of contexts applicable to sport, including models, prediction, inference, simulation, performance and notational analysis as found in statistical sports science. A major component will be a research-based project based on real-world data. Credit will be granted for only on of MATH 399 and MATH 471(2019-2020). Prerequisites: One of STAT 101, STAT 224, STAT 231 or HKIN 301. Three credits.