Data reduction methods; discrete and continuous random variables; hypothesis testing and confidence intervals; linear regression and linear models,...
Simple linear regression and bivariate correlation models; multiple regression analysis including polynomial regression and variable selection...
A rigorous development of calculus. Topics include sequences, series, convergence, limits, continuity, differentiability, and the Riemann integral. ...
Properties of continuous and discrete Fourier transforms; the Sampling Theorem; Inverse Fourier Transforms and convolution; introduction to wavelet...
An introduction to mathematical methods from linear algebra, calculus, and probability theory used in the financial analysis of problems in areas such...
Functions of a complex variable; transformations; integration; Taylor and Laurent expansions; theory of residues.† Prerequisites MA104...
Numerical solutions of differential equations and boundary value problems; linear systems of differential and difference equations including their...
Numerical solution of equations and systems of equations; numerical integration; methods of interpolation, extrapolation and curve-fitting; error...
Elementary theory of numbers; arithmetic functions; congruences; quadratic reciprocity; solutions to Diophantine equations.† ...
Survey of non-Euclidean geometries; coordinate geometry; projective, hyperbolic and affine geometries; Desargues
Examples and basic properties of groups and rings including their substructures, quotient structures and homomorphisms. Prerequisites MA215 or...
Selected topics may include graph colouring, extremal graph theory, planar graphs, random graphs, network flows, algebraic methods in graph theory,...
Prerequisites Permission of the department.†† Notes Irregular course
Discrete and continuous probability models; formal probability spaces and random variables; multivariate and conditional distributions; mathematical...
Review of problems and objectives of parametric statistics; likelihood function; methods of finding estimators; properties of estimators; interval...
Multivariate normal and Wishart distributions; estimation and hypothesis testing for data from one and two independent normal populations;...
Randomization and replication; one and two way classifications, including completely randomized and randomized complete block experiments; designs and...
This course provides a broad overview of modern statistical methods for data analysis. Statistical methodology may include linear and generalized...
Simple random samples, survey design, ratio and regression estimators, proportional allocation, stratified sampling, cluster sampling, complex...
Topics in metric spaces including open and closed sets, compactness, uniform continuity. Sequences and series of functions. The Riemann-Stieltjes...