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# Mathematics and Statistics

## Courses Available - Winter 2017

TIME SERIES & FORECASTING
STAT-3105 (3) Monday / Wednesday / Friday 9:30-10:20
2C16

The course deals with the general problem of analysing data which is ordered over time, for the purpose of forecasting and statistical prediction. Such data do not represent an independent sample and thus can not be analyzed using other statistical methods. Topics include: trend analysis, smoothing by moving averages, seasonal indices; forecasting using exponential smoothing and Box-Jenkins models.

PrerequisitesSTAT-2103

STATISTICAL RESEARCH II
STAT-3104 (3) Tuesday / Thursday 10:00-11:15
3M56

This course provides further insight into the practice of statistical research. Emphasis is placed upon the development of various analysis of variance (ANOVA) models for single-factor and multi-factor studies. Topics include the design and analysis of completely randomized, randomized block, balanced incomplete block and Latin square designs. The analysis of covariance (ANCOVA) is also considered in detail as well as random and mixed effects models. Sample size selection, power analysis, ANOVA diagnostics and remedial measures are discussed. Time permitting, nested, partially nested and repeated measures designs are presented.

PrerequisitesIf you have Linear Algebra I and STAT-1302(or STAT-2001) see Prof Hossain for permission to register.

APPLIED MULTIVARIATE METHODS
STAT-3102 (3) Tuesday / Thursday 8:30-9:45, Lab Friday 14:30-15:45
Class 3M61, Lab 1C10

This course is designed to provide an introduction to an important area in statistics which deals with the analysis of three or more intercorrelated random variables. It covers the following topics: Euclidean vector spaces, vector projections and orthogonalization methods, quadratic forms and symmetric positive (semi) definite matrices and their eigenstructures (eigenroots/vectors), the bivariate and multivariate normal probability functions, principal components analysis, canonical correlation analysis, and multi-group classification.

PrerequisitesSTAT-1302 or the former STAT-1201, or STAT-2001, or the former STAT-1601, or MATH-2203, or the former MATH-2221, or MATH-2201 (prerequisite) MATH-3612 or STAT-3612 (formerly STAT-3202) (must be taken previously or at the same time as this course) STAT-3102L (lab) (must be taken concurrently).

STATISTICAL COMPUTING
STAT-2903 (3) Tuesday / Thursday 10:00-11:15, Lab Tuesday / Thursday 11:30-12:45
Class 2C16, Lab 1C10

Students with limited computer experience are introduced to the use of modern statistical computer packages for data management and data analysis. Specifically, students learn how to use the computer for testing of pseudorandom numbers, simulation of discrete and continuous random variables, bootstrapping, analysis of single and multiple samples, linear and nonlinear regression, and analysis of contingency tables. Particular attention is paid to the effects of departures from standard assumptions.

PrerequisitesSTAT-1302, or the former STAT-1201, or both STAT-1501 and STAT-2001 or the former STAT-1601, or permission of the instructor (prerequisite) STAT-2903L (lab) (must be taken concurrently).

SURVEY SAMPLING
STAT-2301 (3) Monday / Wednesday / Friday 13:30-14:20
2C15

This course emphasizes practical aspects of conducting sample surveys. The four most common sample survey designs, simple random sampling, stratified random sampling, systematic sampling, and cluster sampling are examined. The course also deals with ratio and regression type estimators. Note: This course is of interest not only to Statistics majors but also to students of Business, Economics, Sociology and other social sciences as well as Environmental Studies.

Requisite Courses: STAT-1302, or the former STAT-1201, or both STAT-1501 and STAT-2001 or the former STAT-1601 (prerequisite).

SET THEORY
MATH-4403 (3) Monday / Wednesday 14:30-15:45
3C29

This course introduces concepts of set theory essential to modern mathematics. Topics include axioms for sets, infinite sets, cardinality, ordinal and cardinal numbers, and ordered sets.

Restrictions: Students may not hold credit for this course and MATH-2402 | MATH-3402 | MATH-3601.

Requisite Courses: MATH-1401 and one of MATH-3401, MATH-3402, MATH-2201, MATH-2203, MATH-2501 (prerequisite).

RINGS & FIELDS
MATH-4202 (3) Monday / Wednesday / Friday 8:30-9:20
2C16

This course is a study of field axioms, finite and infinite fields, integral domains, fraction fields, division rings, abstract rings, polynomial rings, PID's and UFD's, Galois Theory; solvability of cubic and quartic, unsolvability of the quintic and other classical mathematical problems.

Restrictions: Students may not hold credit for this course and MATH-3201 | MATH-4201.

Requisite Courses: MATH-3202 (prerequisite).

MATH/STAT II
MATH/STAT-3612 (3) Monday / Wednesday / Friday 10:30 - 11:20
2M74

This course studies the continuous probability distributions and their general properties, distributions of functions of random variables, sampling distributions, including t and F and introduction to estimation and theory of hypotheses testing. Cross-listed: STAT-3612(3).

Restrictions: Students may not hold credit for this course and STAT-3612.

DIFFERENTIAL EQUATIONS II
MATH-2103 (3) Monday / Wednesday / Friday
2M67

This course covers further concepts and methods of solving differential equations. The contents include: Laplace transform method, power and Frobenius series solutions, matrix methods for systems of linear differential equations, and an introduction to partial differential equations including the method of separation of variables.