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Department of Mathematics (MATH) courses at UVic:

MATH 100 - Calculus I

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Review of analytic geometry; functions and graphs; limits; derivatives; techniques and applications of differentiation; antiderivatives; the definite integral and area; logarithmic and exponential functions; trigonometric functions; Newton's, Simpson's and trapezoidal ... Course reviews: 0

MATH 101 - Calculus II

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Volumes; arc length and surface area; techniques of integration with applications; polar coordinates and area; l'Hôpital's rule; Taylor's formula; improper integrals; series and tests for convergence; power series and Taylor ... Course reviews: 0

MATH 102 - Calculus for Students in the Social and Biological Sciences

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Calculus of one variable with applications to the social and biological sciences. Exponential growth. Course reviews: 0

MATH 110 - Matrix Algebra for Engineers

2011/2012 academic year:
  • Fall
 Complex numbers, matrices and basic matrix operations, vectors, linear equations, determinants, eigenvalues and eigenvectors, linear dependence and independence, orthogonality. Course reviews: 0

MATH 120 - Precalculus Mathematics

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 The essential topics prerequisite for MATH 100 and 102. Elementary functions with emphasis on the general nature of functions; polynomial, rational, exponential, logarithmic, and trigonometric functions. Conic sections, plane analytic ... Course reviews: 0

MATH 122 - Logic and Foundations

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Logic and quantifiers, basic set theory, mathematical induction and recursive definitions, divide and conquer recurrence relations, properties of integers, counting, functions and relations, countable and uncountable sets, asymptotic notation. Course reviews: 2

MATH 151 - Finite Mathematics

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Geometric approach to linear programming, linear systems, Gauss-Jordan elimination, matrices, compound interest and annuities, permutations and combinations, basic laws of probability, conditional probability, independence, tree diagrams and Bayes formula, random ... Course reviews: 0

MATH 161 - Mathematics for Elementary School Teachers I

2011/2012 academic year:
  • Fall
  • Summer
 Number systems and their properties, the set of real numbers and its subsets, the interpretation of numerical operations with applications including combinations and permutations, standard computation algorithms, basic statistics, including ... Course reviews: 0

MATH 162 - Mathematics for Elementary School Teachers II

2011/2012 academic year:
  • Spring
 Mental computation and estimation, non-standard computation algorithms, basic set theory, probability, basic algebra and functions, two- and three-dimensional objects, symmetry, similarity, compass and straight-edge constructions, transformational geometry, measurement topics, including ... Course reviews: 0

MATH 199 - Problem-Solving Seminar

2011/2012 academic year:
  • Fall
 A seminar on solving non-routine challenging mathematical problems that require insight, creativity and ingenuity. Strongly recommended to students who wish to participate in Putnam Mathematics Competitions. Course reviews: 0

MATH 200 - Calculus of Several Variables

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Vectors and vector functions; solid analytic geometry; partial differentiation; directional derivatives and the gradient vector; Lagrange multipliers; multiple integration with applications; cylindrical and spherical coordinates; surface area; line integrals; Green's ... Course reviews: 0

MATH 201 - Introduction to Differential Equations

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 First order equations, linear second order equations and 2-dimensional systems of linear equations with constant coefficients, elementary qualitative methods, numerical Euler and Runge-Kutta methods, Laplace transform, applications. Course reviews: 1

MATH 202 - Intermediate Calculus for CSC and EOS

2011/2012 academic year:
  • Spring
 Vectors, curves, and surfaces in space; partial differentiation; directional derivatives and the gradient vector; Taylor's theorem for a function of two variables; introduction to differential equations. Course reviews: 0

MATH 205 - Multivariable Calculus

2011/2012 academic year:
  • not scheduled, yet
 Vectors in two and three dimensions, vector-valued functions, functions of several variables, multivariate differential calculus, multiple integrals. Course reviews: 0

MATH 208 - Mathematics for Economics and Econometrics

2011/2012 academic year:
  • Spring
 Matrix algebra: basic operations, linear equations, determinants and cofactors, linear independence, solution to linear systems, quadratic forms; partial derivatives, constrained and unconstrained optimization; applications to economics and econometrics. Course reviews: 1

MATH 211 - Matrix Algebra I

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Matrices: simultaneous equations; determinants; vectors in 2-, 3- and n-tuple space; inner product; linear independence and rank; change of coordinates; rotation of axes in 2- and 3-dimensional Euclidean space; orthogonal ... Course reviews: 0

MATH 212 - Introduction to Algebra

2011/2012 academic year:
  • Spring
  • Summer
 Definitions and examples of groups, rings, fields, and integral domains; rational numbers, real numbers, and complex numbers; polynomials and their factorization; permutations. Additional topics chosen from Boolean algebras and lattices, ... Course reviews: 0

MATH 222 - Discrete and Combinatorial Mathematics

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Graph theory, counting, combinatorial arguments and proofs, inclusion-exclusion, partial orders and equivalence relations, deriving and solving recurrence relations, generating functions. Course reviews: 0

MATH 236 - Introduction to Real Analysis

2011/2012 academic year:
  • Spring
 Axiomatic and metric properties of the real numbers. Sequences and limits. Completeness, compactness, Bolzano-Weierstrass and Heine-Borel theorems. Infinite series. Continuous and uniformly continuous functions. Course reviews: 0

MATH 242 - Mathematics of Finance

2011/2012 academic year:
  • Spring
 Simple interest; compound interest; simple discount; simple annuities; general and other annuities; amortization methods; Canadian mortgages; sinking funds; bond prices and bond yields; net present value; capitalized cost; contingent payments; ... Course reviews: 0

MATH 300 - Advanced Calculus

2011/2012 academic year:
  • Fall
  • Spring
 Advanced topics in multidimensional calculus. Multidimensional Taylor's theorem, implicit and inverse function theorems. Surface integrals and the theorems of vector calculus. Sequences and series in Euclidean n-space. Sequences and series ... Course reviews: 0

MATH 301 - Complex Variables

2011/2012 academic year:
  • Spring
  • Summer
 Theory of functions of a complex variable, analytic functions, elementary functions, integration, power series, residue theory. Course reviews: 0

MATH 311 - Linear Algebra

2011/2012 academic year:
  • Spring
 Vector spaces and linear transformations, the canonical forms, inner product spaces and the spectral theorem. Course reviews: 0

MATH 312 - Abstract Algebra I

2011/2012 academic year:
  • Fall
 Groups, rings and fields, including quotient structures. Course reviews: 0

MATH 322 - Intermediate Combinatorics

2011/2012 academic year:
  • Spring
 A study of combinatorial objects, with topics chosen from: representations and generation of permutations and combinations; Gray codes, Latin squares, factorizations of graphs, block designs and finite geometries, partially ordered ... Course reviews: 0

MATH 336 - Real Analysis I

2011/2012 academic year:
  • not scheduled, yet
 Continuous and uniformly continuous functions, the Riemann integral, sequences and series of functions, uniform convergence, abstract metric spaces, inner-product spaces, differentiation in Euclidean n-space, Riesz representation theorem. Course reviews: 0

MATH 342 - Intermediate Ordinary Differential Equations

2011/2012 academic year:
  • Fall
  • Spring
 Informal discussion of the Picard-Lindelöf and Peano existence theorems, series solutions near ordinary and regular singular points, Frobenius method, systems of first order linear equations, complex and repeated eigenvalues, nonhomogeneous ... Course reviews: 0

MATH 346 - Introduction to Partial Differential Equations

2011/2012 academic year:
  • Spring
  • Summer
 Partial differential equations in physics (wave, heat and Laplace equations), solution by separation of variables, method of characteristics for first-order partial differential equations, boundary value problems, orthogonal functions, Fourier series, ... Course reviews: 0

MATH 348 - Numerical Methods with Applications to Finance and Economics

2011/2012 academic year:
  • Spring
 Selected topics in numerical analysis, with applications to finance and economics. Topics chosen from: rounding errors, root finding, systems of linear equations (direct and iterative methods), interpolation and approximation, numerical ... Course reviews: 0

MATH 352 - Introduction to Probability

2011/2012 academic year:
  • Fall
 Probability spaces, combinatorial analysis, inclusion-exclusion, conditional probability, independence, random variables, expectation, discrete and continuous distributions, limit theorems. Additional topics may include: probabilistic method, Markov chains. Course reviews: 0

MATH 360 - Mathematics for Education and Liberal Arts

2011/2012 academic year:
  • Fall
 A survey of mathematical techniques and methods with a focus on analytical skills and problem solving. Topics will be chosen from the following areas: number theory, Euclidean and non-Euclidean geometry, ... Course reviews: 0

MATH 362 - Elementary Number Theory

2011/2012 academic year:
  • Fall
 Divisibility, primes, congruences, arithmetic functions, primitive roots, quadratic residues, basic representation and decimals, and a selection from the following topics: Pythagorean triples, representation as sums of squares, infinite descent, rational ... Course reviews: 0

MATH 365 - A First Course in Topology

2011/2012 academic year:
  • Spring
 Basic concepts in topology, including examples in Euclidean space, metric spaces, and topological spaces. Additional topics in geometric or differential topology. Course reviews: 0

MATH 366 - Geometry

2011/2012 academic year:
  • Fall
 Theorems on triangles and circles, Euclidean constructions, tiling and polyhedra, isometries, similarities, inversion, projective lines and points, axiomatic and non-Euclidean geometries. Course reviews: 0

MATH 375 - Philosophy of Mathematics

2011/2012 academic year:
  • not scheduled, yet
 An introduction to problems in the philosophy of mathematics. Topics include the nature of mathematical objects (are they human constructions, or do they exist independently of us?), the status of ... Course reviews: 0

MATH 377 - Mathematical Modelling

2011/2012 academic year:
  • Spring
 The formulation, analysis and interpretation of mathematical models in various areas of application. Both continuous and discrete deterministic and stochastic models will be employed. Mathematical techniques used may include: differential ... Course reviews: 0

MATH 379 - Nonlinear Dynamical Systems and Chaos

2011/2012 academic year:
  • Spring
 An introduction to dynamical systems aimed at mathematics students and mathematically-inclined students from the sciences and engineering. Topics include: existence theory, geometric analysis, stability theory, bifurcation theory and chaos for ... Course reviews: 0

MATH 399 - Advanced Problem-Solving Seminar

2011/2012 academic year:
  • Fall
 A second seminar course on solving non-routine mathematical problems. Strongly recommended to students who wish to participate in Putnam Mathematics Competitions. Course reviews: 0

MATH 401 - Complex Analysis

2011/2012 academic year:
  • Fall
 Topics chosen from: conformal mappings, the Riemann mapping theorem, the maximum principle, infinite products, Picard's theorem, normal families, Hp-spaces, approximation by rational functions, the Riemann zeta function, analytic continuation and ... Course reviews: 0

MATH 412 - Abstract Algebra II

2011/2012 academic year:
  • Fall
 Field theory, composition series of groups, Galois theory. Course reviews: 0

MATH 413 - Applied Algebra

2011/2012 academic year:
  • Spring
 A survey of the applications of algebraic structures in computer science, applied mathematics, and electrical engineering. Topics may include: cryptography, switching circuits, finite state machines, state diagrams, machine homomorphism, group ... Course reviews: 0

MATH 415 - History of Mathematics

2011/2012 academic year:
  • Fall
 Survey of the development of Mathematics from its earliest beginnings through to the present. Course reviews: 0

MATH 422 - Combinatorial Mathematics

2011/2012 academic year:
  • Spring
 Permutations and combinations, generating functions, recurrence relations, inclusion-exclusion principle. Mobius inversion, Polya's enumeration theorem. Ramsey's theorem, systems of distinctive representatives, combinatorial designs, algorithmic aspects of combinatorics. Course reviews: 0

MATH 423 - Graph Theory

2011/2012 academic year:
  • Fall
 An introduction to the combinatorial, algorithmic and algebraic aspects of graph theory. Course reviews: 0

MATH 435 - Real Analysis II

2011/2012 academic year:
  • not scheduled, yet
 Lebesgue measure and integration, Lp spaces, Stone-Weierstrass theorem, Arzela-Ascoli theorem. Hilbert space and Fourier series. Course reviews: 0

MATH 436 - Calculus on Manifolds

2011/2012 academic year:
  • Spring
 Differentiable manifolds. Differential forms. Stokes theorem and a selection of results from classical vector calculus. Course reviews: 0

MATH 442 - Advanced Ordinary Differential Equations

2011/2012 academic year:
  • Fall
 Rigorous existence and uniqueness theory; qualitative theory of systems of ordinary differential equations including Poincaré and Liapunov stability; periodic orbits; Poincaré-Bendixson theory; bifurcations; stable, unstable and centre manifold theorems. Additional ... Course reviews: 0

MATH 446 - Advanced Partial Differential Equations

2011/2012 academic year:
  • not scheduled, yet
 The Cauchy-Kovalevskaya theorem, geometric theory of first order partial differential equations, well-posed problems, elliptic equations, semigroups. Course reviews: 0

MATH 447 - Nonlinear Programming

2011/2012 academic year:
  • not scheduled, yet
 Introduction to theory and algorithm of nonlinear programming. Topics may include: unconstrained optimization theory and iterative methods; Lagrange multipliers and Karush-Kuhn-Tucker theorem for constrained optimization problems; convex programming and duality, ... Course reviews: 0

MATH 451 - Probability

2011/2012 academic year:
  • not scheduled, yet
 Language of formal probability, laws of large numbers and applications (Weierstrass approximation), central limit theorem, Borel-Cantelli laws, large deviations estimates, Chernoff bounds, number-theoretic applications, coupling of random variables, the probabilistic ... Course reviews: 0

MATH 452 - Stochastic Processes

2011/2012 academic year:
  • Fall
 Introduction to the branch of probability theory which deals with the mathematical analysis of systems that evolve in time while undergoing chance fluctuations. Main topics include random walks, Markov chains, ... Course reviews: 0

MATH 462 - Topics in Number Theory

2011/2012 academic year:
  • Summer
 A selection of topics which may include compositions and partitions, geometry of numbers, rational approximation, distribution of primes, order of magnitude of arithmetic funtions, proofs of the Prime Number Theorem ... Course reviews: 0

MATH 463 - Algebraic Number Theory

2011/2012 academic year:
  • not scheduled, yet
 An introduction to algebraic number theory: rings of integers, prime factorization, finiteness of ideal class group, Dirichlet unit theorem, splitting of primes, structure of inertia groups, elliptic curves. Course reviews: 0

MATH 465 - Topics in Topology

2011/2012 academic year:
  • Spring
 Topics chosen from point set topology, introduction to algebraic topology, classification of surfaces, homology theory, and homotopy theory. Course reviews: 0

MATH 467 - Differential Geometry

2011/2012 academic year:
  • not scheduled, yet
 Local theory: curvature, torsion, geodesics, vector fields, intrinsic geometry, spaces of constant curvature. Elements of global theory. Course reviews: 0

MATH 475 - Topics in Mathematical Biology

2011/2012 academic year:
  • not scheduled, yet
 Possible topics include population modelling, infectious disease dynamics, models of neuronal networks and models of gene regulatory networks. Course reviews: 0

MATH 477 - Stochastic Financial Modelling

2011/2012 academic year:
  • Spring
 Brief review of financial concepts (hedging, arbitrage, options etc.), Martingales, drift and volatility, the binomial model, Brownian motion, the Black-Scholes option pricing formula and some of its extensions. Course reviews: 0

MATH 490 - Directed Studies in Mathematics

2011/2012 academic year:
  • not scheduled, yet
 Course reviews: 0

MATH 492 - Topics in Applied Mathematics

2011/2012 academic year:
  • Fall
 Possible topics include population modelling, neural networks, stochastic processes, discrete optimization, actuarial mathematics, calculus of variations, and fluid mechanics. Course reviews: 0

MATH 493 - Topics in Pure Mathematics

2011/2012 academic year:
  • Fall
  • Spring
 Possible topics include advanced complex analysis, functional analysis, introduction to manifolds, and mathematical logic. Course reviews: 0

MATH 510 - Abstract Algebra

2011/2012 academic year:
  • Spring
 Graduate course in the Course reviews: 0

MATH 511 - Topics in Matrix Theory and Linear Algebra

2011/2012 academic year:
  • not scheduled, yet
 Graduate course in the Course reviews: 0

MATH 520 - Number Theory

2011/2012 academic year:
  • Summer
 Graduate course in the Course reviews: 0

MATH 522 - Combinatorics

2011/2012 academic year:
  • Spring
 Course reviews: 0

MATH 523 - Graph Theory

2011/2012 academic year:
  • Fall
 Course reviews: 0

MATH 529 - Topics in Discrete Mathematics

2011/2012 academic year:
  • Fall
 Course reviews: 0

MATH 530 - Real Analysis

2011/2012 academic year:
  • Fall
 Abstract measure and integration; product measures; measures on locally compact spaces and the Riesz representation theorem; the Stone-Weierstrass theorem. Course reviews: 0

MATH 531 - Functional Analysis

2011/2012 academic year:
  • not scheduled, yet
 Graduate course in the Course reviews: 0

MATH 532 - Introduction to Operator Theory

2011/2012 academic year:
  • Spring
 Graduate course in the Course reviews: 0

MATH 533 - Topics in Operator Theory and Operator Algebras

2011/2012 academic year:
  • not scheduled, yet
 Course reviews: 0

MATH 535 - Topics in Analysis

2011/2012 academic year:
  • not scheduled, yet
 Topics may include some of the following: ergodic theory, dynamical systems, potential theory, harmonic analysis. Course reviews: 0

MATH 538 - Complex Analysis

2011/2012 academic year:
  • not scheduled, yet
 Topics chosen from: conformal mappings, the Riemann mapping theorem, the maximum principle, infinite products, Picard's theorem, normal families, Hp-spaces, approximation by rational functions, the Riemann zeta function, analytic continuation and ... Course reviews: 0

MATH 540 - Topology

2011/2012 academic year:
  • Spring
 Graduate course in the Course reviews: 0

MATH 550 - Topics in Applied Mathematics

2011/2012 academic year:
  • Spring
 Course reviews: 0

MATH 551 - Differential and Integral Equations

2011/2012 academic year:
  • Fall
 Graduate course in the Course reviews: 0

MATH 555 - Topics in Probability

2011/2012 academic year:
  • not scheduled, yet
 Course reviews: 0

MATH 560 - Mathematical Models

2011/2012 academic year:
  • not scheduled, yet
 The formulation, analysis and interpretation of mathematical models of selected scientific topics. Course reviews: 0

MATH 563 - Algebraic Number Theory

2011/2012 academic year:
  • not scheduled, yet
 Graduate course in the Course reviews: 0

MATH 570 - Optimal Control Theory

2011/2012 academic year:
  • not scheduled, yet
 Formulation of calculus of variations and optimal control problems. Euler and Jacobi necessary conditions. Method of dynamic programming. Existence and regularity of optimal controls. Optional topics may include: stochastic optimal ... Course reviews: 0

MATH 575 - Topics in Mathematical Biology

2011/2012 academic year:
  • not scheduled, yet
 Possible topics include population modelling, infectious disease dynamics, models of neuronal networks and models of gene regulatory networks. Course reviews: 0

MATH 580 - Topics in Pure Mathematics

2011/2012 academic year:
  • Fall
 Course reviews: 0

MATH 581 - Directed Studies

2011/2012 academic year:
  • not scheduled, yet
 Directed studies may be available in the areas of faculty interest. Course reviews: 0

MATH 585 - Seminar

2011/2012 academic year:
  • Fall
 Course reviews: 0

MATH 586 - Operator Theory Seminar

2011/2012 academic year:
  • Fall
  • Spring
 Course reviews: 0

MATH 587 - Applied Math Seminar

2011/2012 academic year:
  • Spring
  • Fall
 Course reviews: 0

MATH 588 - Discrete Mathematics Seminar

2011/2012 academic year:
  • Fall
  • Spring
 Course reviews: 0

MATH 591E - Topics in Mathematics for Secondary Teachers

2011/2012 academic year:
  • not scheduled, yet
 Intended for students enrolled in a master's program specializing in Mathematics Education but open to students enrolled in other master's programs in Education. One of the four topics: Geometry, Mathematical ... Course reviews: 0

MATH 599 - Master's Thesis

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Course reviews: 0

MATH 690 - Directed Studies

2011/2012 academic year:
  • not scheduled, yet
 May be available in areas of faculty interest. Course reviews: 0

MATH 693 - Candidacy Examination

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Course reviews: 0

MATH 699 - Dissertation

2011/2012 academic year:
  • Fall
  • Spring
  • Summer
 Course reviews: 0

MATH 335 - REAL ANALYSIS

2011/2012 academic year:
  • Fall
 Course reviews: 0

MATH 449 - SCIENTIFIC COMPUTING

2011/2012 academic year:
  • Spring
 Course reviews: 0

MATH 549 - SCIENTIFIC COMPUTING

2011/2012 academic year:
  • Spring
 Course reviews: 0

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