Some useful general tips for students -- especially first-year! -- taking math courses are given in Enjoying Math!. The pamphlet Formula for Success published by the Academic Skills Center has a useful summary of "pre-calculus" mathematics. Students needing further help with such material should contact the Academic Skills Center.

• Index of mathematics courses
• Mathematics program requirements

100-Series Courses

Mathematics 105H/FA
Applied Calculus

 An introduction to the methods and applications of calculus. Derivatives, exponential and logarithmic functions, optimization problems, related rates, integration, partial derivatives, differential equations. Selected applications from the natural and social sciences. Not available to students enrolled in or with credit for Mathematics 110. Not for credit towards a major in Mathematics.

• Prerequisite: A Grade 12U or U/C mathematics course or an OAC mathematics course.
• Meetings: Three hour lecture and one hour workshop weekly.
• Lectures: Mon 10:00-10:50 in SC 137, Wed 12:00-12:50 in OCA 203, Thu 12:00-12:50 in CCS 307.
• Seminars: Mon 11:00-11:50 in SC W1, Wed 10:00-10:50 in OCA 143, Thu 16:00-16:50 in ESC B319
• Instructor: G. Alobaidi

Mathematics 105H/FA (Oshawa)
Applied Calculus

 An introduction to the methods and applications of calculus. Derivatives, exponential and logarithmic functions, optimization problems, related rates, integration, partial derivatives, differential equations. Selected applications from the natural and social sciences. Not available to students enrolled in or with credit for Mathematics 110. Not for credit towards a major in Mathematics.

• Prerequisite: A Grade 12U or U/C mathematics course or an OAC mathematics course.
• Meetings: Three hour lecture and one hour workshop weekly..
• Lectures: TBA.
• Tutorials: TBA.
• Instructor: F.Pulfer

Mathematics 110 A
Calculus of one variable

 An examination of the concepts and techniques of calculus, with applications to other areas of mathematics and the physical and social sciences.

• Prerequisite: Grade 12 Advanced Functions and Introductory Calculus or Grade 13/OAC calculus - with at least 60% or equivalent in each case.
• Meetings: Three lectures and one seminar weekly.
• Lectures: Mon 14:00-14:50 in OCA 203, Wed 11:00-11:50 in OCA 203, Fri 09:00-09:50 in OCA 203.
• Seminars: Wed 12:00-12:50 in ESC B319 and 13:00-13:50 in ESC B319.
• Instructor: S. Bilaniuk

Mathematics 110 B
Calculus of one variable

 An examination of the concepts and techniques of calculus, with applications to other areas of mathematics and the physical and social sciences.

• Prerequisite: Grade 12 Advanced Functions and Introductory Calculus or Grade 13/OAC calculus - with at least 60% or equivalent in each case.
• Meetings: Three lectures and one seminar weekly.
• Lectures: Mon 17:00-17:50 in SC 137, Tue 11:00-11:50 in SC 137, Wed 013:00-13:50 in SC 137.
• Seminars: Tue 15:00-15:50 in ESC B319 ,Wed 15:00-15:50 in CCN M2.
• Instructor: M. Pivato

Mathematics 135H/FA
Linear Algebra I: Matrix Algebra

 Vectors, systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors. Excludes Mathematics 130.

• Prerequisite: A Grade 12U or U/C mathematics course or OAC Mathematics credit with at least 60%.
• Meetings: Three hours lecture and one hour workshop weekly.
• Lectures: Mon 12:00-12:50 in ECC 201, Thu 9:00-09:50 in SC 137, Fri 12:00-12:50 in CCS 307.
• Tutorials: Thu 15:00-15:50 in BL 107.2, Fri 13:00-13:50 in CCN M2.
• Instructor: D.G. Poole
• For more information, please see the MATH 135H home page.

Mathematics 150
A non-calculus-based introduction to probability and statistical methods

 Data summary, elementary probability, estimation, hypothesis testing, comparative methods, analysis of variance, regression, nonparametric methods, introduction to elementary applications of statistical computing. This course uses highschool mathematics as a foundation and involves the use of computers.Not credited toward Mathematics major requirements, nor available to students enrolled in, or with credit for Mathematics-Statistics 251H or Mathematics 110.

• Meetings: Three lectures weekly, one-hour problems session fortnightly.
• Lectures: Tue 16:00-16:50 in SC 317, Thu 12:00-12:50 in SC 137, Fri 11:00-11:50 in SC 137.
• Workshops: Mon 15:00-15:50 in CCN M2 and 16:00-16:50 in ESC B319, Tue 09:00-09:50 in CCW A2 and 14:00-14:50 in CCN M2, Fri 14:00-14:50 and 15:00-15:50 in CCN M2.
• Instructor: M. Boué.
• For more information, please see the Statistics Courses Page.

Mathematics 155H/WI
Introduction to probability

 Probability, random variables, probability distributions. Not available to students with credit for Mathematics-Statistics 251H.

• Corequisite: Mathematics 105H or Mathematics 110 taken previously or concurrently.
• Meetings: Three one-hour lectures weekly and one-hour workshop fortnightly.
• Lectures: Mon 10:00-10:50 in SC 137, Wed 14:00-14:50 in SC 137, Fri 12:00-12:50 in SC 137.
• Workshops: Mon 15:00-15:50 in CCN M2 and16:00-16:50 in ESC B319, Tue 09:00-09:50 in CCW A2 and 14:00-14:50 in CCN M2.
• Instructor: M. Boué.
• For more information, please see the Statistics Courses Page.

Mathematics-Statistics 155H/WI (Oshawa)
Introduction to probability

 Probability, random variables, probability distributions. Not available to students with credit for Mathematics-Statistics 251H.

• Corequisite: Mathematics 105H or Mathematics 110 taken previously or concurrently.
• Meetings: TBA.
• Lectures: TBA.
• Workshops: TBA.
• Instructor: F. Pulfer
• For more information, please see the Statistics Courses Page.

200-Series Courses

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Mathematics 200
Calculus in several dimensions

 Vector geometry, curves, surfaces in three dimensions. Partial differentiation and applications, multiple integrals. Vector calculus.

• Prerequisite: Mathematics 110.
• Meetings: Three lectures and one tutorial weekly.
• Lectures: Mon 13:00-13:50 in CCN M2, Tue 16:00-16:50 in ESC B319, Wed 16:00-16:50 in ESC B203.
• Seminars: Wed 14:00-14:50 in CCW A1, Tue 13:00-13:50 in ESC B319.
• Instructor: G. Alobaidi

Mathematics-Physics 205H/FA
Ordinary Differential Equations

 First order equations; qualitative and numerical methods. Second order linear equations. Applications to physical and biological models. Laplace transforms. Power series solutions.

• Prerequisite: Mathematics 110.
• Corequisite: Mathematics 200.
• Recommended: Mathematics 130 or 135H.
• Meetings: Three lectures and one tutorial weekly.
• Lectures: Tue 10:00-10:50 in BL 402, Wed 15:00-15:50 in SC W2, Thu 12:00-12:50 in OCA 208.
• Tutorials: Tue 11:00-11:50 in ECC 208, Wed 11:00-11:50 in OCA 206.
• Instructor: G. Alobaidi

Mathematics 206H/FA
Analysis I: Introduction to Analysis

 The real number system. Limits. Continuity. Differentiability. Mean-value theorem. Convergence of sequences and series. Uniform convergence.

• Prerequisite: Mathematics 110.
• Corequisite: Mathematics 200.
• Meetings: Three hours weekly.
• Lectures: Thu 11:00-11:50 in CCW A2, Fri 11:00-11:50 in CCW A2.
• Tutorial: Thu 12:00-12:50 in ECC 212
• Instructor: S. Bilaniuk

Mathematics 207H/WI
Introduction to numerical and computational methods

 Error analysis, non-linear equations, linear systems, interpolation methods, numerical differentiation and integration and initial value problems.

• Prerequisite: Mathematics 105H or 110.
• Meetings: Three lectures and one tutorial weekly.
• Lectures: Mon 11:00-11:50 in BL: 107.1, Tue 09:00-09:50 in BL: 107.1, Wed 11:00-11:50 in OCA 206.
• Tutorial: Thu 11:00-11:50 in BL 107.2
• Instructor: G. Alobaidi

Mathematics 226H/FA
Geometry I: Euclidean geometry

 Elements of Euclidean geometry stressing links to modern mathematical methods. Geometric transformations and symmetry. Recommended for Education students.

• Prerequisite: Either Mathematics 105H or 110 (with OAC Algebra/Geometry recommended), or 135H.
• Meetings: Two lectures and one tutorial weekly.
• Lectures: Mon 16:00-16:50 in SC W4, Tue 11:00-11:50 in OCA 206.
• Tutorials: Thu 15:00-15:50 in OCA 204
• Instructor:  R. Yassawi

Mathematics 235H/WI
Linear Algebra II: Vector Spaces

 Vector spaces, basis and dimension, inner product spaces, orthogonality, linear transformations, diagonalization, determinants, eigenvalues, quadratic forms, least squares, the singular value decomposition. Excludes Mathematics 130.

• Prerequisite: Mathematics 135H.
• Meetings: Three hours lecture and one hour tutorial weekly.
• Lectures: Mon 09:00-09:50 in ESC B203, Wed 15:00-15:50 in ECC 201, Thu 15:00-15:50 in ESC B203.
• Tutorials: Thu 11:00-11:50 in CCW A2, Thu 12:00-12:50 in CCW A2.
• Instructor: D.G. Poole

Mathematics-Computer Science 260
Discrete Structures

 Mathematics related to computer science including propositional logic, recursive functions, combinatorics, graphs and networks, Boolean algebras. Applications to languages, analysis of algorithms, optimization problems, coding theory, and circuit design.

• Prerequisite: Mathematics 110 or 130 or 135H; or Computer Science 102H together with one Grade 12 U or U/C or OAC credit in Mathematics.
• Recommended: OAC Finite Mathematics.
• Meetings: Three hours weekly.
• Lectures: Wed 09:00-09:50 in CCN M2, Thu 10:00-10:50 in CCN M2, Fri 09:00-09:50 in CCN M2.
• Instructor: B. Zhou
• For more information, please see the MATH 260 home page.

Mathematics 280
Mathematics for the Contemporary Classroom

 A course in mathematics and mathematical thinking for prospective school teachers. Number systems and counting, graphs and networks, probability and statistics, measurement and growth, symmetry, computers and mathematics. Not available to students enrolled in or with credit for any of Mathematics 110, Mathematics 135H or Mathematics-Computer Science 260 or their equivalents. Not for credit towards any major in Mathematics.

• Note: Instructor's approval required; enrolment limited.
• Meetings: Three-hour lecture/workshop weekly.
• Lecture/Workshop:
  • Section A: Wed 19:00 -21:50 in BL 107.2.
  • Section B: Mon 15:00-17:50 in OCA 143.
  • Section C: Wed 14:00-16:50 in OCA 143
• Instructor: W. Morrison
• For more information, please see the MA 280 home page.

300-Series Courses

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Mathematics-Physics 305H/FA
Partial Differential Equations

 An introduction to methods for the solution of partial differential equations. Fourier Analysis.

• Prerequisite: Mathematics 205H.
• Corequisite: Mathematics 200.
• Meetings: Three hours weekly.
• Lectures: Mon 15:00-15:50 in CCN I2, Tue 13:00-14:50 in CCN I2.
• Instructor: M. Pivato

Mathematics 306H/WI
Analysis II: Complex Analysis

 Functions of a complex variable, analytic functions, complex integrals, Cauchy integral theorems, Taylor series, Laurent series, residue calculus.

• Co-/Prerequisite: Mathematics 200.
• Meetings: Two lectures and one tutorial weekly.
• Lectures: Mon 11:00-11:50 in CCN K1, Tue 12:00-12:50 in CCN K1.
• Tutorial: Mon 12:00-12:50 in CCN I1.
• Instructor: R. Yassawi

Mathematics-Physics 308H/WI
Methods of applied mathematics

 Differential equations in applied mathematics, including Bessel, Legendre, hypergeometric, Laguerre, Hermite, Chebyshev, etc. Series and numerical solutions. Properties of the special functions arising from these equations.

• Prerequisite: Mathematics-Physics 205H.
• Meetings: Three lectures and one tutorial weekly.
• Instructor: K. Abdella

Offered in alternate years. Not offered in 2002-2003

Mathematics 310H/WI
Topology I: Metric spaces

 Limits and continuity. Completeness, compactness, the Heine-Borel theorem. Connectedness.

• Prerequisite: Mathematics 206H.
• Meetings: Two lectures and one tutorial weekly.
• Lectures: Mon 16:00-16:50 in SC W4, Tue 10:00-10:50 in in SC W3.
• Tutorial: Thu 16:00-16:50 in CCN I2.
• Instructor: R. Yassawi

Mathematics-Physics 311H/WI
Advanced classical mechanics

 Applied mathematics as found in the classical mechanics of particles, rigid bodies and continuous media. Motion of rigid bodies, Lagrangian mechanics, Hamiltonian mechanics, dynamics of oscillating systems.

• Prerequisites: Mathematics 200 and 205H and Mathematics-Physics 312H.
• Meetings: Three class meetings weekly.
• Lectures: Mon 13:00-14:50 in SC 317, Tue 13:00-13:50 in SC 317.
• Tutorial: Thu 14:00-14:50 in SC 317
• Taught by the Department of Physics.

Mathematics-Physics 312H/FA
Classical mechanics

 Applied mathematics as found in the classical mechanics of particles. One-dimensional motion, vector differential operators, three-dimensional motion, moving and rotating coordinate systems, central forces, systems of particles.

• Prerequisites: Mathematics 110 and Physics 100 or permission of the instructor.
• Pre or co-orequisite: Mathematics 200.
• Meetings: Three lectures and tutorial weekly.
• Lectures: Mon 11:00-12:50 in SC 317, Tue 10:00-10:50 in SC 317.
• Tutorial: Tue 11:00-11:50 in SC W2.
• Taught by the Department of Physics.

Mathematics 322
Number Theory

Number theory and related topics in algebra and analysis.

• Prerequisites: Mathematics 110, and 130 or 235H.
• Meetings: Three hours weekly.
• Instructor: S. Bilaniuk
• Offered in alternate years but not in 2002-2003.

Mathematics 326H/WI
Geometry II: Projective and non-Euclidean geometries

 Elements of projective and non-Euclidean geometries, including an introduction to axiomatic systems.

• Prerequisite: Mathematics 135H or permission of the instructor.
• Meetings: Two lectures and one tutorial weekly.
• Offered in alternate years but not in 2002-2003.

Mathematics 330
Algebra III: Groups, rings, and fields

 An introduction to abstract algebraic structures.

• Prerequisite: Mathematics 235H.
• Meetings: Two lectures and one tutorial weekly.
• Lectures: Mon 14:00-14:50 in CCN I2, Tue 18:00-18:50 in CCN I2.
• Tutorial: Thu 09:00-09:50 in SC W4
• Instructor: M. Pivato
• For more information, please see the MATH 330 home page.

Mathematics-Computer Science 341
Linear and discrete optimization

 Introduction to the concepts, techniques and applications of linear programming and discrete optimization. Topics include the simplex method, dynamic programming, duality, game theory, transportation problems, assignment problems, matchings in graphs, network flow theory, and combinatorial optimization with emphasis on integer programming.

• Prerequisites: Mathematics 130 or 135H, and Mathematics-Computer Science 260.
• Meetings: Two lectures and one tutorial weekly.
• Lecture: Thu 11:00-12:50 in ECC 202.
• Tutorial: Fri 10:00-10:50 in CCN I1.
• Instructor: B. Zhou
• For more information, please see the MATH 341 home page.

Mathematics 355
An introduction to statistical analysis

 Introduction to mathematical statistics: exploring and describing relationships, sampling, point and interval estimation, likelihood methods, hypothesis testing, comparative inferences, contingency tables, linear regression and correlation introductory multiple regression, design and analysis of experiments, nonparametric methods. Assumes a background in probability and uses introductory linear algebra. Excludes Mathematics-Statistics 252H.

• Prerequisites: Mathematics-Statistic 155H, Mathematics 105H or 110.
• Strongly recommended: Mathematics 135H
• Meetings: Three lectures weekly and one hour workshop occasionally.
• Lectures: Mon 13:00-13:50 in CCN K1, Tue 15:00-15:50 in CCN K1, Wed 10:00-10:50 in BL 107.1.
• Workshops: Wed 15:00-15:50 or 16:00-16:50 in CCW C3.
• Instructor: M. Boué
• For more information, please see the Statistics Courses Page.

Mathematics-Science 380
History of mathematics

Winter 2002-2003

 A study of the major currents of mathematical thought from ancient to modern times.

• Prerequisites: Mathematics 110 and 235H, or Mathematics 110 and permission of the instructor. Second-year students wishing to take the course must have permission of the instructor.
• Meetings: Three hours weekly.
• Lectures: Mon 09:00-10:50 in OCA 207.
• Seminars: Thu 15:00-15:50 in OCA 128.
• For more information, please see the MATH 380 home page.

Mathematics 390
Reading-seminar course

400-Series Courses

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Mathematics 406H/WI
Analysis III: Measure and integration

 Riemann and Lebesque measure, integration.

• Prerequisites: Mathematics 206H, 310H.
• Meetings: To be arranged (Reading course).
• Instructor: R. Yassawi

Mathematics 407H/FA
Analysis IV: Topics in analysis

• Prerequisites: Mathematics 206H, 310H.
• Meetings: Three hours weekly.
• Lectures: Mon 11:00-12:50 in ECC 202.
• Seminars Thu 16:00-16:50 in SC W1.
• Instructor: R. Yassawi

Mathematics 411
Introduction to mathematical modelling

 Differential equations, ordinary and partial.

• Prerequisite: Mathematics-Physics 305H.
• Meetings: Two hours weekly.
• Instructor: K. Abdella

Mathematics-Computer Science 415H/WI
Mathematical Logic

 An introduction to the syntax and semantics of propositional and first-order logics through the Soundness, Completeness and Compactness Theorems.

• Prerequisite: Mathematics-Computer Science 260 or Mathematics 330 or permission of the instructor.
• Meetings: Two hours weekly.
• Lectures: Mon 11:00-11:50 in SC W1, Tue 10:00-10:50 in SC W1.
• Instructor: S. Bilaniuk
• For more information, please see the MATH 415H home page.

Mathematics-Computer Science 416H
Computability

 An introduction to computability via Turing machines and recursive functions, followed either by applications to the Incompleteness Theorem or by an introduction to complexity theory.

• Prerequisite: Computer Science 305H or Mathematics 330 or Mathematics-Computer Science 415H or permission of the instructor.
• Instructor: S. Bilaniuk

Mathematics 426H/WI
Geometry III: Topics in geometry

• Prerequisite: Mathematics 225 or 226H or 326H.
• Meetings: To be arranged
• Instructor: S. Bilaniuk

Mathematics 431H/FA
Algebra IV: Galois theory

 Extension fields and Galois groups.

• Prerequisite: Mathematics 330.
• Meetings: To be arranged.
• Instructor: D.G. Poole

Mathematics 432H
Algebra V: Topics in algebra

• Prerequisite: Mathematics 330.

Mathematics 436H
Topology II: General topology

• Prerequisite: Mathematics 310H

Mathematics 437H
Topology III: Topics in topology

• Prerequisite: Mathematics 310H.

Mathematics 451H
Sampling theory

• Prerequisites: Mathematics 355.
• For more information, please see the Statistics Courses Page.

Mathematics 452H
Theory of inference

• Prerequisite: Mathematics 355.
• For more information, please see the Statistics Courses Page.

Mathematics 460
Combinatorics and graph theory

• Prerequisite: Mathematics-Computer Science 260 or permission of the instructor.
• Recommended: Mathematics 330.
• Meetings: Three hours weekly.
• Lectures: Mon 09:00-10:50 in ECC 202.
• Seminar: Wed 13:00-13:50 in ECC 208.
• Instructor: B. Zhou
• For more information, please see the MA 460 home page.

Mathematics 470
Dynamical systems, chaos and fractals

• Prerequisites: Mathematics 206H and 235H.
• Recommended: Mathematics 306H, 310H.
• Meetings: To be arranged.
• Instructor: R. Yassawi

Mathematics 490
Special Topics

• Prerequisite: Permission of the instructor.
• Meetings:TBA
• Instructor: S. Bilaniuk

Mathematics 497
Special Topics

• Prerequisite: Permission of the instructor.
• Meetings:TBA
• Instructor:TBA

Department of Mathematics