While this web page is (usually) more uptodate, Trent University's Academic Calendar is the official source for essential information about Mathematics courses, as well as degree and major requirements; the Academic Timetable is the official source for the times and places of class meetings. If you need to find or confirm any information not given in these documents, please contact the Department of Mathematics.
Some useful general tips for students  especially firstyear!  taking math courses are given in Enjoying Math!. The pamphlet Formula for Success published by the Academic Skills Center has a useful summary of "precalculus" mathematics. Students needing further help with such material should contact the Academic Skills Center.
100Series Courses  
Math. 105H/FA  Applied Calculus  Fall 2002 
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.
 
Math. 105H/FA  Applied Calculus  Fall 2002 (Oshawa) 
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.
 
Math. 110 A  Calculus of one variable  FallWinter 20022003 
An examination of the concepts and techniques of calculus, with applications to other areas of mathematics and the physical and social sciences.
 
Math. 110 B  Calculus of one variable  FallWinter 20022003 
An examination of the concepts and techniques of calculus, with applications to other areas of mathematics and the physical and social sciences.
 
Math. 135H/FA  Linear Algebra I: Matrix Algebra  Fall 2002 
Vectors, systems of linear equations, matrices, determinants, linear transformations, eigenvalues and eigenvectors. Excludes Mathematics 130.
 
Math. 150  A noncalculusbased introduction to probability & statistical methods  FallWinter 20022003 
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 MathematicsStatistics 251H or Mathematics 110.
 
Math. 155H/WI  Introduction to probability  Winter 2003 
Probability, random variables, probability distributions. Not available to students with credit for MathematicsStatistics 251H.
 
Math.Statistics 155H/WI  Introduction to probability  Winter 2003 (Oshawa) 
Probability, random variables, probability distributions. Not available to students with credit for MathematicsStatistics 251H.
 
200Series Courses  
Math. 200  Calculus in several dimensions  FallWinter 20022003 
Vector geometry, curves, surfaces in three dimensions. Partial differentiation and applications, multiple integrals. Vector calculus.
 
Math.Physics 205H/FA  Ordinary Differential Equations  Fall 2002 
First order equations; qualitative and numerical methods. Second order linear equations. Applications to physical and biological models. Laplace transforms. Power series solutions.
 
Math. 206H/FA  Analysis I: Introduction to Analysis  Fall 2002 
The real number system. Limits. Continuity. Differentiability. Meanvalue theorem. Convergence of sequences and series. Uniform convergence.
 
Math. 207H/WI  Introduction to numerical & computational methods  Winter 2003 
Error analysis, nonlinear equations, linear systems, interpolation methods, numerical differentiation and integration and initial value problems.
 
Math. 226H/FA  Geometry I: Euclidean geometry  Fall 2002 
Elements of Euclidean geometry stressing links to modern mathematical methods. Geometric transformations and symmetry. Recommended for Education students.
 
Math. 235H/WI  Linear Algebra II: Vector Spaces  Winter 2003 
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.
 
Math.Comp. Sci. 260  Discrete Structures  FallWinter 20022003 
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.
 
Math. 280  Mathematics for the Contemporary Classroom  FallWinter 20022003 
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 MathematicsComputer Science 260 or their equivalents. Not for credit towards any major in Mathematics.
 
300Series Courses 

Math.Physics 305H/FA  Partial Differential Equations  Fall 2002 
An introduction to methods for the solution of partial differential equations. Fourier Analysis.
 
Math. 306H/WI  Analysis II: Complex Analysis  Winter 2003 
Functions of a complex variable, analytic functions, complex integrals, Cauchy integral theorems, Taylor series, Laurent series, residue calculus.
 
Math.Physics 308H/WI  Methods of applied mathematics  Not offered in 20022003 
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.
 
Math. 310H/WI  Topology I: Metric spaces  Winter 2003 
Limits and continuity. Completeness, compactness, the HeineBorel theorem. Connectedness.
 
Math.Physics 311H/WI  Advanced classical mechanics  Winter 2003 
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.
 
Math.Physics 312H/FA  Classical mechanics  Fall 2002 
Applied mathematics as found in the classical mechanics of particles. Onedimensional motion, vector differential operators, threedimensional motion, moving and rotating coordinate systems, central forces, systems of particles.
 
Math. 322  Number Theory  Not offered in 20022003 
Number theory & related topics in algebra & analysis.
 
Math. 326H/WI  Geometry II: Projective & nonEuclidean geometries  Not offered in 20022003 
Elements of projective and nonEuclidean geometries, including an introduction to axiomatic systems.
 
Math. 330  Algebra III: Groups, rings & fields  FallWinter 20022003 
An introduction to abstract algebraic structures.
 
Math.Comp. Sci. 341  Linear and discrete optimization  FallWinter 20022003 
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.
 
Math. 355  An introduction to statistical analysis  FallWinter 20022003 
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 MathematicsStatistics 252H.
 
Math.Science 380  History of mathematics  Winter 20022003 
A study of the major currents of mathematical thought from ancient to modern times.
 
Math. 390  Readingseminar course (Full)  Fall and Winter (reading course) 
Details may be obtained by consulting the Department of Mathematics.
 
Math. 391H  Readingseminar course (Half)  Fall or Winter (reading course) 
Details may be obtained by consulting the Department of Mathematics.
 
400Series Courses 

Math. 406H/WI  Analysis III: Measure & integration  Winter 2003 (reading course) 
Riemann and Lebesque measure, integration.
 
Math. 407H/FA  Analysis IV: Topics in analysis  Fall 2002 
 
Math. 411  Introduction to mathematical modelling  Not offered in 20022003 
Differential equations, ordinary and partial.
 
Math.Comp. Sci. 415H/WI  Mathematical Logic  Winter 2003 (reading course) 
An introduction to the syntax and semantics of propositional and firstorder logics through the Soundness, Completeness and Compactness Theorems.
 
Math.Comp. Sci. 416H  Computability  Not offered in 20022003 
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.
 
Math. 426H/WI  Geometry III: Topics in geometry  Winter 2003 
 
Math. 431H/FA  Algebra IV: Galois theory  Fall 2002 (reading course) 
Extension fields and Galois groups.
 
Math. 432H  Algebra V: Topics in algebra  Not offered in 20022003 
 
Math. 436H  Topology II: General topology  Not offered in 20022003 
 
Math. 437H  Topology III: Topics in topology  Not offered in 20022003 
 
Math. 451H  Sampling theory  Not offered in 20022003 
 
Math. 452H  Theory of inference  Not offered in 20022003 
 
Math. 460  Combinatorics and graph theory  FallWinter 20022003 
 
Math. 470  Dynamical systems, chaos and fractals  FallWinter 20022003 (reading course) 
 
Math. 490  Readingseminar course (Full)  Fall and Winter (reading course) 
Details may be obtained by consulting the Department of Mathematics.
 
Math. 491H  Readingseminar course (Half)  Fall or Winter (reading course) 
Details may be obtained by consulting the Department of Mathematics.
 
Math. 495  Special Topics  FallWinter 20022003 (reading course) 

Developed by Stefan Bilaniuk and Skip Maxwell.
Maintained by Marcus Pivato.
Last updated 20021002