University of Toronto at Scarborough 2003/2004 Calendar
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Mathematics

(B.Sc.)

Faculty List


E.W. Ellers, Ph.D. (Hamburg), Professor Emeritus
R.O. Buchweitz, Ph.D. (Hanover), Professor
J. Friedlander, M.A. (Waterloo), Ph.D. (Penn. State), F.R.S.C., Professor
L.C. Jeffrey, A.B. (Princeton), M.A. (Cambridge), Ph.D. (Oxford), Professor
M. Goldstein, Ph.D. (Tashkent), Professor
E. Mendelsohn, B.Sc., M.Sc. (Manitoba), Ph.D. (McGill), Professor
P. Selick, B.Sc., M.Sc., Ph.D. (Princeton), Professor
R.W. Sharpe, M.Sc., Ph.D. (Yale), Professor
C. Albanese, B.Sc., Ph.D. (Zurich), Associate Professor
J. Scherk, D.Phil., (Oxford), Associate Professor
A. Butscher, Ph.D., (Stanford), Assistant Professor
E. Moore, M.A. (Memorial), Ph.D. (Toronto), Senior Lecturer
S.C. Tryphonas, M.Sc. (Toronto), Senior Lecturer
N. Cheredeko, Ph.D. (Moscow State Tech. University), Lecturer
X. Jiang, B.Sc., M.Sc. Ph.D. (Glasgow) Lecturer

Our Mathematics began in the ancient Mesopotamian civilizations. The Babylonians already knew much of the mathematics taught traditionally in our schools. Their algebra and geometry was phrased in terms of crops and fields and money. Since the Renaissance, much of mathematics has come from problems in physics and astronomy; for example, calculus arose from problems in mechanics. In turn mathematics has provided the theoretical framework and tools in the Physical Sciences. In the 19th century some parts of mathematics appeared to develop away from their origins in the physical world. To the great surprise of many scientists and mathematicians, some of the "pure" mathematics has turned out to be essential in many aspects of 20th century science. Differential geometry provides the language for general relativity and cosmology, and Hilbert space theory and group representations are the tools for quantum mechanics. Similarly, graph theory, combinatorics and number theory play a major role in computer science.

The Specialist Programs in Mathematics and in Mathematics and Its Applications, and the Major Program in Mathematical Sciences, are eligible for inclusion in the Co-operative Program in Physical Sciences and the Early Teacher Project in Physical Sciences. Please refer to the Physical Sciences section

(page 185) and to the Co-operative Program (page 71) sections of this Calendar for further information.

SPECIALIST PROGRAM IN MATHEMATICS

Supervisor: E. Moore (416-287-7267)

The Specialist Program in Mathematics is designed to give students a thorough grounding in the main areas of Mathematics, together with an understanding of the close relationship between Mathematics and other Sciences. It provides an excellent education for students who may decide to pursue a career in research, or who wish to go on to careers in non-mathematical fields.
1. (3.0 full credit equivalents - FCEs):
CSCA48H Introduction to Computer Science
MATA23H Linear Algebra I
[MATA30H Calculus I (Grade 12)
or
MATA31H] Calculus I (OAC)
MATA37H Calculus II for Mathematical Sciences
PHYA10H Introduction to Classical Physics
PHYA21H Introduction to Modern Physics
2. (2.5 FCE):
[CSCB07H Software Design
or
CSCB36H] Introduction to the Theory of Computation
MATB24H Linear Algebra II
MATB41H Techniques of the Calculus of Several Variables I
MATB42H Techniques of the Calculus of Several Variables II
MATB43H Introduction to Analysis
3. (1.5 FCE):
MATB44H Differential Equations I
STAB52H An Introduction to Probability
STAB57H An Introduction to Statistics
4. (1.5 FCE):
MATC01H Groups and Symmetry
MATC02H Fields and Groups
[MATC25H Classical Plane Geometries and their Transformations
or
MATC15H] Introduction to Number Theory
5. (1.0 FCE):
MATC46H Differential Equations II
MATC34H Complex Variables
6. (1.0 FCE): Two of:
MATB61H Linear Programming and Optimization
MATC35H Chaos, Fractals and Dynamics
MATC38H Introduction to Real Analysis
MATC61H Introduction to Mathematical Finance
MATC65H Complex Variables II
7. (0.5 FCE): One of:
CSCC50H Numerical Algebra and Optimization
CSCC51H Numerical Approximation, Integration and Ordinary Differential Equations
MATC09H Introduction to Mathematical Logic
MATC16H Coding Theory and Cryptography
MATC44H Introduction to Combinatorics
MATC32H Graph Theory and Algorithms for its Applications
8. 1.0 FCE from MAT at B-, C-, or D-level.
9. (0.5 FCE):
CSCD03H Social Impact of Information Technology
or
PSCD02H Current Questions in Mathematics and Science

NOTE: PSCD01H is a required course for ETP students

Recommended course: PHYB21H

SPECIALIST PROGRAM IN MATHEMATICS AND ITS APPLICATIONS

Supervisor: E. Moore (416-287-7267)

The Specialist program in Mathematics and its Applications is recommended to students with strong interests in mathematics and with career goals in areas such as teaching, computer science, the physical sciences and statistics. The program is flexible; there is a core of courses in mathematics and related disciplines, but you can choose among several areas of concentration.

CORE FOR ALL PROGRAM STREAMS:

1. (2.0 full credit equivalents):
[CSCA48H Introduction to Computer Science
or
PSCB57H] Introduction to Scientific Computing (if PSCB57H is selected it should be taken in second year)*
MATA23H Linear Algebra I
[MATA30H Calculus I (Grade 12)
or
MATA31H] Calculus I (OAC)
[MATA36H Calculus II for Physical Sciences
or
MATA37H] Calculus II for Mathematical Sciences
2. (2.5 FCE):
MATB24H Linear Algebra II
MATB41H Techniques of the Calculus of Several Variables I
MATB42H Techniques of the Calculus of Several Variables II
MATB43H Introduction to Analysis
MATB44H Differential Equations I
3. (1.0 FCE):
STAB52H An Introduction to Probability**
STAB57H An Introduction to Statistics**
4. (0.5 FCE):
MATC01H Groups and Symmetry
5. (0.5 FCE):
MATC34H Complex Variables

* PSCB57H is required for the Computational Physical Sciences stream

** STAB52H and STAB57H must be taken in second year for the Statistics stream

AREAS OF CONCENTRATION:

Teaching Stream:

6. (2.0 FCE):
MATC02H Fields and Groups
MATC15H Introduction to Number Theory
MATC25H Classical Plane Geometries and their Transformations
[MATC32H Graph Theory and Algorithms for its Applications
or
MATC44H] Introduction to Combinatorics
7. (1.5 FCE): Three of:
MATB61H Linear Programming and Optimization
MATC09H Introduction to Mathematical Logic
MATC16H Coding Theory and Cryptography
MATC35H Chaos, Fractals and Dynamics
MATC38H Introduction to Real Analysis
MATC46H Differential Equations II
MATC63H Differential Geometry I
MATC65H Complex Variables II
8. (2.0 FCE): Four C- or D-level CSC, MAT or STA half-credit courses
9. (0.5 FCE):
PSCD02H Current Questions in Mathematics and Science
or
CSCD03H Social Impact of Information Technology

NOTE: Students following this stream are encouraged to apply for acceptance into the Early Teacher Project. ETP students are required to take PSCD01H.

Statistics Stream:

6. (2.5 FCE):
MATB61H Linear Programming and Optimization
MATC02H Fields and Groups
MATC25H Classical Plane Geometries and their Transformations
MATC46H Differential Equations II
MATC61H Introduction to Mathematical Finance
7. (1.0 FCE): Two of:
MATC35H Chaos, Fractals and Dynamics
MATC38H Introduction to Real Analysis
MATC65H Complex Analysis II
8. 2.0 FCEs from C-level STA courses and 300- and 400-level STA courses on the St. George campus.
9. (0.5 FCE):
PSCD02H Current Questions in Mathematics and Science
or
CSCD03H Social Impact of Information Technology

Computational Physical Sciences Stream:

6. (5.0 FCE):
ASTA01H Introduction to Astronomy and Astrophysics I: The Sun and Planets
ASTA02H Introduction to Astronomy and Astrophysics II: Beyond the Sun and Planets
CSCC50H Numerical Algebra and Optimization
CSCC51H Numerical Approximation, Integration and Ordinary Differential Equations
MATB61H Linear Programming and Optimization
MATC35H Chaos, Fractals and Dynamics
MATC44H Introduction to Combinatorics
MATC46H Differential Equations II
PHYA10H Introduction to Classical Physics
PHYA21H Introduction to Modern Physics
7. (1.5 FCE): Three of:
PHYB21H Electricity and Magnetism
PHYB24H Introduction to Quantum Physics
PHYC20H Vibrations and Waves
ASTB21H Solar System and Stellar Astrophysics
ASTC22H Galactic and Extragalactic Astrophysics
8. (0.5 FCE): One of:
CSCD18H Computer Graphics
MATC61H Introduction to Mathematical Finance
MATC65H Complex Variables II
MATD01H Readings in Mathematics
[PSCD02H Current Questions in Mathematics and Science
or
CSCD03H] Social Impact of Information Technology

Computer Science Stream:

See Joint Mathematics stream in Computer Science Specialist Program

Design Your Own Stream:

6. (6.0 FCE): 12 half-credit courses chosen with the approval of the program supervisor for Mathematics and Its Applications.
7. (0.5 FCE):
PSCD02H Current Questions in Mathematics and Science
or
CSCD03H Social Impact of Information Technology

MAJOR PROGRAM IN MATHEMATICAL SCIENCES

Students must choose one of the following options:

Mathematics

Supervisor: E. Moore (416-287-7267)
1. (5.0 full credit equivalents):
CSCA48H Introduction to Computer Science
[CSCB07H Software Design
or
CSCB36H] Introduction to Theory of Computation
MATA23H Linear Algebra I
[MATA30H Calculus I (Grade 12)
or
MATA31H] Calculus I (OAC)
[MATA36H Calculus II for Physical Sciences
or
MATA37H] Calculus II for Mathematical Sciences
MATB24H Linear Algebra II
MATC01H Groups and Symmetry
MATB41H Techniques of the Calculus of Several Variables I
MATB42H Techniques of the Calculus of Several Variables II
STAB52H An Introduction to Probability
2. 1.5 FCE from:
MATB43H, MATB44H (C51H), MATC46H (C56H), MATC35H, MATC38H (C57H), MATC34H (C60H), MATC65H
3. 0.5 FCE from:
MATB61H, MATC25H (B30H), MATC02H (B32H), MATC09H, MATC15H (B70H), MATC30H, MATC44H (C31H), MATC32H, MATC61H, MATC63H (C54H)
4. 1.0 FCE from:
CSC C-level, CSC D-level, CSCD03, MATC16H, MATC44H (C31H), MATC32H, MATD01H, MATD02H, STAB57H, STAC42H, STAC62H, STAC67H, any STA300-level, STA400-level course on St. George Campus

Statistics

Supervisor: M. Evans (416-287-7274)
1. (5.0 full credit equivalents):
CSCA48H Introduction to Computer Science
[CSCB07H Software Design
or
CSCB36H] Introduction to Theory of Computation
MATA23H Linear Algebra I
[MATA30H Calculus I (Grade 12)
or
MATA31H] Calculus I (OAC)
[MATA36H Calculus II for Physical Sciences
or
MATA37H] Calculus II for Mathematical Sciences
MATB24H Linear Algebra II
MATB41H Techniques of the Calculus of Several Variables I
MATB42H Techniques of the Calculus of Several Variables II
STAB52H An Introduction to Probability
STAB57H An Introduction to Statistics
2. 2.0 FCE from:
STAC42H, STAC52H, STAC57H, STAC62H, STAC67H, any 300- and 400-level STA courses on St. George campus.
3. 1.0 FCE from:
any C- or D-level CSC course, CSCD03, MATB43H, MATB44H, any C-level MAT course, STAC42H, STAC52H, STAC57H, STAC62H, STAC67H, any 300- and 400-level STA course on St. George campus.

MATA23H3 Linear Algebra I

Systems of linear equations, matrices, Gaussian elimination; vector spaces, basis, dimension; inner product spaces, geometry in R^n; linear transformations; determinants, Cramer's rule; eigenvalues and eigenvectors, diagonalization; orthogonal transformations.
Exclusion: (MATA04), MAT223
Prerequisites: [OAC Calculus & OAC Algebra and Geometry] or [Grade 12 Advanced Functions and Introductory Calculus & Geometry and Discrete Mathematics]

MATA25H3 Calculus B

Second term content of (MATA26Y); the final examination includes topics covered in MATA24H in the 2003 Winter Session. Offered for the last time in the 2003 Summer Session; MATA24H together with MATA25H is equivalent for program and MAT prerequisite purposes to (MATA26Y).
Exclusion: (MATA26Y), (MATA28Y), MATA27H, (MATA29Y), MAT123, MAT124, MAT125, MAT126, MAT133, MAT135, MAT137
Prerequisite: (MATA24H)

MATA27H3 Introduction to Optimization

Areas to be covered include: R^n as a model space in economics, contour maps; exponential functions and logarithms, with applications to finance; review of differential calculus in one variable, marginal analysis; vectors, differential calculus of several variables and optimization, with applications to economics.
Exclusions: (MATA26Y), (MATA28Y), (MATA29Y), (MATA24H), (MATA25H), MAT123, MAT124, MAT125, MAT126, MAT133, MAT135, MAT137, MATA30H, MATA31H, MATA35H, MATA36H, MATA37H
Prerequisite: OAC Calculus or Grade 12 Advanced Functions and Introductory Calculus

NOTE: This course is intended for students in Management Programs. It does not satisfy the requirements for any Program in the Computer and Mathematical Sciences or Physical and Environmental Sciences or Life Sciences and it may not be used as a prerequisite for any further Mathematics course.

MATA30H3 Calculus I (Grade 12)

An introduction to the basic techniques of Calculus. Elementary functions: rational, trigonometric, root, exponential and logarithmic functions and their graphs. Basic calculus: limits, continuity, derivatives, derivatives of higher order, analysis of graphs, use of derivatives; integrals and their applications, techniques of integration.
Exclusions: MATA31H, MATA27H, (MATA26Y), (MATA28Y), (MATA29Y), (MATA24H), (MATA25H), MAT 123, MAT124, MAT125, MAT126, MAT133, MAT135, MAT137, JMB170
Prerequisites: [Grade 12 Advanced Functions and Introductory Calculus] & [one of Grade 12 Geometry and Discrete Mathematics or Mathematics of Data Management]

MATA31H3 Calculus I (OAC)

An introduction to the basic techniques of Calculus. Elementary functions: rational, trigonometric, root, exponential and logarithmic functions and their graphs. Basic calculus: limits, continuity, derivatives, derivatives of higher order, analysis of graphs, use of derivatives; integrals and their applications, techniques of integration.
Exclusions: MATA30H, MATA27H, (MATA26Y), (MATA28Y), (MATA29Y), (MATA24H), (MATA25H), MAT123, MAT124, MAT125, MAT126, MAT133, MAT135, MAT137, JMB170
Prerequisites: [OAC Calculus] & [one of OAC Algebra and Geometry or OAC Finite Mathematics]

MATA35H3 Calculus II for Biological Sciences

A calculus course emphasizing examples and applications in the biological and environmental sciences. Discrete probability; basic statistics: hypothesis testing, distribution analysis. Basic calculus: extrema, growth rates, diffusion rates; differential equations; population dynamics; vectors and matrices in 2 and 3 dimensions; genetics applications.
Exclusions: MATA36H, MATA37H, MATA27H, (MATA26Y), (MATA28Y), (MATA29Y), (MATA24H), (MATA25H), MAT123,MAT 124, MAT125, MAT126, MAT133, MAT135, MAT137, JMB170
Prerequisites: MATA30H or MATA31H

Note: This course will not satisfy the Mathematics requirements for any Program in Computer and Mathematical Sciences, nor will it normally serve as a prerequisite for further courses in Mathematics. Students who are not sure which Calculus II course they should choose are encouraged to consult with the supervisor(s) of Programs in their area(s) of interest.

MATA36H3 Calculus II for Physical Sciences

This course is intended to prepare students for the physical sciences. Topics to be covered include:, Newton's method, approximation of functions by Taylor polynomials, numerical methods of integration, complex numbers, sequences, series, Taylor series, differential equations.
Exclusions: MATA35H3, MATA37H3, MATA27H3, (MATA26Y3), (MATA28Y3), (MATA29Y3), (MATA24H3), (MATA25H3), MAT123, MAT124, MAT125, MAT126, MAT133, MAT135, MAT137, JMB170
Prerequisite: MATA30H or MATA31H

MATA37H3 Calculus II for Mathematical Sciences

A calculus course providing a conceptual approach for students needing more than techniques and applications. An introduction to proof and the theoretical side of basic calculus emphasizing intuition. Fundamental Theorem of Calculus, Taylor's Theorem, sequences and series, power series and differential equations.
Exclusions: MATA35H, MATA36H, MATA27H, (MATA26Y), (MATA28Y), (MATA29Y), (MATA24H), (MATA25H), MAT 123, MAT124, MAT125, MAT126, MAT133, MAT135, 137, JMB170
Prerequisite: MATA30H or MATA31H

MATB24H3 Linear Algebra II

Fields, vector spaces over a field, linear transformations; diagonalizability, invariant subspaces, Cayley-Hamilton theorem; hermitian inner product, normal, self-adjoint and unitary operators, method of least squares, introduction to coding theory.
Exclusions: (MATA04Y), MAT224
Prerequisites: MATA23H or MAT223

MATB41H3 Techniques of the Calculus of Several Variables I

Partial derivatives, gradient, tangent plane, Jacobian matrix and chain rule, Taylor series; extremal problems, extremal problems with constraints and Lagrange multipliers, multiple integrals, spherical and cylindrical coordinates, law of transformation of variables.
Exclusions: (MATA28Y), (MATA29Y), (MAT230), (MAT234Y), MAT235, MAT237, (MAT239Y), MAT257
Prerequisites: MATA23H & [MATA36H or MATA37H or (MATA26Y)]

MATB42H3 Techniques of the Calculus of Several Variables II

Fourier series. Vector fields in Rn, Divergence and curl, curves, parametric representation of curves, path and line integrals, surfaces, parametric representations of surfaces, surface integrals. Green's, Gauss', and Stokes' theorems will also be covered. An introduction to differential forms, total derivative.
Exclusions: (MAT230), (MAT234Y), MAT235, MAT237, (MAT239Y), MAT257
Prerequisite: MATB41H

MATB43H3 Introduction to Analysis

Calculus revisited rigorously: properties of real numbers, limits, compactness, topology of Euclidean space, continuity, differentiability, fundamental theorem, Riemann integral.
Exclusions: (MATA27Y); MAT246
Prerequisites: [MATA36H or MATA37H or (MATA26Y)] & [MATA23H & MATB24H]
Corequisite: MATB42H

MATB44H3 Differential Equations I

Ordinary differential equations of the first and second order, existence and uniqueness; solutions by series and integrals; linear systems of first order; non-linear equations; difference equations.
Exclusions: (MATC51), MAT244, MAT267
Prerequisites: [MATA36H or MATA37H or (MATA26Y)] & MATA23H
Corequisites: MATB41H & MATB24H

MATB61H3 Linear Programming and Optimization

Linear programming, simplex algorithm, duality theory, interior point method; quadratic and convex optimization, stochastic programming; applications to portfolio optimization and operations research.
Exclusion: APM236H, (APM261H)
Prerequisite: MATA23H
Corequisite: MATB42H

MATC01H3 Groups and Symmetry

Congruences and fields. Permutations and permutation groups. Linear groups. Abstract groups, homomorphisms, subgroups. Symmetry groups of regular polygons and Platonic solids, wallpaper groups. Group actions, class formula. Cosets, Lagrange's theorem. Normal subgroups, quotient groups. Emphasis on examples and calulations.
Exclusions: (MATC91H),(MATB31), MAT301, (MAT347)
Prerequisite: MATB24H

MATC02H3 Fields and Groups

Abstract group theory: Sylow theorems, groups of small order, simple groups, classification of finite abelian groups. Fields and Galois theory: polynomials over a field, field extensions, constructibility; Galois groups of polynomials, in particular cubics, insolvability of quintics by radicals.
Exclusion: (MATB32H), MAT302 (MAT347)
Prerequisite: MATC01H

MATC09H3 Introduction to Mathematical Logic

Predicate calculus. Relationship between truth and provability; Gˆdel's completeness theorem. First order arithmetic as an example of a first-order system. Gˆdel's incompleteness theorem; outline of its proof. Introduction to recursive functions.
Exclusions: MAT309H, CSC438H
Prerequisites: MATB24H & [MATB43H or CSCB38H]

MATC15H3 Introduction to Number Theory

Elementary topics in number theory; arithmetic functions; polynomials over the residue classes modulo m, characters on the residue classes modulo m; quadratic reciprocity law, representation of numbers as sums of squares.
Exclusions: (MATB70), MAT315
Prerequisites: [MATA36H or MATA37H or (MATA26Y)] & [MATB24H or (MATA04Y)]

MATC16H3 Coding Theory and Cryptography

The main problems of coding theory and cryptography are defined. Classic linear and non-linear codes. Error correcting and decoding properties .Cryptanalysis of classical ciphers from substitution to DES and various public key systems e.g. RSA and discrete logarithm based systems. Needed mathematical results from number theory, finite fields, and complexity theory are stated.
Prerequisites: MATB24H & STAB52H
Corequisite: MATC15H recommended

MATC25H3 Classical Plane Geometries and their Transformations

An introduction to geometry with a selection of topics from the following: symmetry and symmetry groups, finite geometries and applications, non-Euclidean geometry.
Exclusions: (MATB30), (MAT325), MAT365
Prerequisite: MATA23H
Corequisite: MATC01H

MATC32H3 Graph Theory and Algorithms for its Applications

Graphs, subgraphs, isomorphism, trees, connectivity, Euler and Hamiltonian properties, matchings, vertex and edge colourings, planarity, network flows and strongly regular graphs; applications to such problems as timetabling, personnel assignment, tank form scheduling, traveling salesmen, tournament scheduling, experimental design and finite geometries.
Prerequisites: [MATB24H or CSCB38H] & at least one other B-level course in Mathematics or Computer Science

MATC34H3 Complex Variables

Theory of functions of one complex variable, analytic and meromorphic functions. Cauchy's theorem, residue calculus, conformal mappings, introduction to analytic continuation and harmonic functions.
Exclusions: (MATC60H), MAT334
Prerequisite: MATB42

MATC35H3 Chaos, Fractals and Dynamics

Areas covered include: metric spaces, dynamics on the real line, fixed points, periodic points, attractors, repellors, Sarkovskii's theoren parametrized families of functions and bifurcations, period doubling, dynamics of the logistic map, symbolic dynamics, chaos, topological equivalence of the logistic map and the shift map, Newton's method; dynamics on the complex line, iterations of rational functions, Julia sets, Mandelbrot set.
Exclusion: MAT335
Prerequisite: MATB43H

MATC38H3 Introduction to Real Analysis

Metric spaces, completeness, uniform convergence. Topics in measure theory: the Lebesgue integral, Riemann-Stieltjes integral, L p spaces, Fourier series.
Exclusion: MAT337, (MAT338)
Prerequisites: MATB42H & MATB43H

MATC44H3 Introduction to Combinatorics

Basic counting principles, generating functions, permutations with restrictions. Fundamentals of graph theory with algorithms; applications (including network flows). Combinatorial structures including block designs and finite geometries.
Exclusions: (MATC31), MAT344
Prerequisite: MATB24H

MATC46H3 Differential Equations II

Sturm-Liouville problems, Green's functions, special functions (Bessel, Legendre), partial differential equations of second order, separation of variables, integral equations, Fourier transform, stationary phase method.
Exclusions: (MATC56), AMP346H
Prerequisites: MATB44H & MATB24H
Corequisite: MATB42

MATC61H3 Introduction to Mathematical Finance

Brownian motions, Fokker-Planck equation, stopping times, reflection principle, Girsanov theorem; Stochastic calculus, Ito's lemma, martingales; stochastic optimization, Black-Scholes equation. The course provides an introduction to methods of interest in financial mathematics.
Prerequisites: MATB42H, [(STAB47H) or STAB52H]
Corequisites: MATB61H & MATC46H

Recommended: STAC62H

MATC63H3 Differential Geometry

Curves and surfaces in Euclidean 3-space. Serret-Frenet frames and the associated equations, the first and second fundamental forms and their integrability conditions, intrinsic geometry and parallelism, the Gauss-Bonnet theorem.
Exclusions: MATC54, MAT363
Prerequisite: MATB43

MATC65H3 Complex Variables II

Applications of complex analysis to geometry, physics and number theory. Fractional linear transformations and the Lorentz group. Solution to the Dirichlet problem by conformal mapping and the Poisson kernel. The Riemann mapping theorem. The prime number theorem.
Exclusion: MAT354
Prerequisite: MATC34H

MATD01H3 Readings in Mathematics

Independent study under the direction of a faculty member.
Prerequisite: A GPA of 2.5 or more and consent of the instructor.

MATD02H3 Readings in Mathematics II

Independent study under the direction of a faculty member.
Prerequisite: A GPA of 2.5 or more and consent of the instructor.

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University of Toronto at Scarborough 2003/2004 Calendar
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