Minor Statistics for Management Students (21 credits)

Program Requirements

Mentor: Professor A. Kelome, Department of Mathematics and Statistics, Faculty of Science

Program Prerequisites

• MATH 133 Linear Algebra and Geometry (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases; quadratic loci in two and three dimensions.

  Terms: Fall 2012, Winter 2013, Summer 2013

  Instructors: Djivede Kelome, William J Anderson, Eric Cormier, Michael Bailey (Fall) William J Anderson, Alexey Eremin (Winter)

  • 3 hours lecture, 1 hour tutorial
  • Prerequisite: a course in functions
  • Restriction A: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
  • Restriction B: Not open to students who have taken or are taking MATH 123, MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
  • Restriction C: Not open to students who are taking or have taken MATH 134.
• MATH 140 Calculus 1 (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.

  Terms: Fall 2012, Winter 2013, Summer 2013

  Instructors: Sidney Trudeau, Stephen W Drury, William G Brown, Thomas F Fox (Fall)

  • 3 hours lecture, 1 hour tutorial
  • Prerequisite: High School Calculus
  • Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
  • Restriction: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
  • Each Tutorial section is enrolment limited
• MATH 141 Calculus 2 (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : The definite integral. Techniques of integration. Applications. Introduction to sequences and series.

  Terms: Fall 2012, Winter 2013, Summer 2013

  Instructors: Antonio Lei (Fall) Sidney Trudeau, Stephen W Drury, Thomas F Fox (Winter)

  • Prerequisites: MATH 139 or MATH 140 or MATH 150.
  • Restriction: Not open to students who have taken MATH 121 or CEGEP objective 00UP or equivalent
  • Restriction Note B: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
  • Each Tutorial section is enrolment limited

or their equivalents

Required Courses (15 credits)

• MATH 222 Calculus 3 (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.

  Terms: Fall 2012, Winter 2013, Summer 2013

  Instructors: Wilbur Jonsson, Mathew Donald Rogers (Fall) Wilbur Jonsson (Winter) Eric Cormier (Summer)

  • Prerequisite: MATH 141. Familiarity with vector geometry or Corequisite: MATH 133
  • Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227
• MATH 223 Linear Algebra (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.

  Terms: Fall 2012, Winter 2013

  Instructors: Layan El Hajj, Wilbur Jonsson (Fall) Wilbur Jonsson (Winter)

  • Fall and Winter
  • Prerequisite: MATH 133 or equivalent
  • Restriction: Not open to students in Mathematics programs nor to students who have taken or are taking MATH 236, MATH 247 or MATH 251. It is open to students in Faculty Programs
• MATH 323 Probability (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.

  Terms: Fall 2012, Winter 2013, Summer 2013

  Instructors: Masoud Asgharian-Dastenaei (Fall) David B Wolfson (Winter) Djivede Kelome (Summer)

  • Prerequisites: MATH 141 or equivalent.
  • Restriction: Intended for students in Science, Engineering and related disciplines, who have had differential and integral calculus
  • Restriction: Not open to students who have taken or are taking MATH 356
• MATH 324 Statistics (3 credits) *

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.

  Terms: Fall 2012, Winter 2013

  Instructors: William J Anderson (Fall) David B Wolfson (Winter)

  • Fall and Winter
  • Prerequisite: MATH 323 or equivalent
  • Restriction: Not open to students who have taken or are taking MATH 357
  • You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
• MATH 423 Regression and Analysis of Variance (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Least-squares estimators and their properties. Analysis of variance. Linear models with general covariance. Multivariate normal and chi-squared distributions; quadratic forms. General linear hypothesis: F-test and t-test. Prediction and confidence intervals. Transformations and residual plot. Balanced designs.

  Terms: Fall 2012

  Instructors: Abbas Khalili Mahmoudabadi (Fall)

  • Fall
  • Prerequisites: MATH 324, and MATH 223 or MATH 236
  • Restriction: Not open to students who have taken or are taking MATH 533.

* Credits for MATH 324 are counted in the Management core, where they replace MGCR 271. MATH 324 is a required course in the program and may be double-counted for this Minor.

Complementary Courses (6 credits)

6 credits selected from:

• MATH 204 Principles of Statistics 2 (3 credits) **

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : The concept of degrees of freedom and the analysis of variability. Planning of experiments. Experimental designs. Polynomial and multiple regressions. Statistical computer packages (no previous computing experience is needed). General statistical procedures requiring few assumptions about the probability model.

  Terms: Winter 2013

  Instructors: David Stephens (Winter)

  • Winter
  • Prerequisite: MATH 203 or equivalent. No calculus prerequisites
  • Restriction: This course is intended for students in all disciplines. For extensive course restrictions covering statistics courses see Section 3.6.1 of the Arts and of the Science sections of the calendar regarding course overlaps.
  • You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
• MATH 447 Introduction to Stochastic Processes (3 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Conditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.

  Terms: Winter 2013

  Instructors: William J Anderson (Winter)

  • Winter
  • Prerequisite: MATH 323
  • Restriction: Not open to students who have taken or are taking MATH 547.
• MATH 523 Generalized Linear Models (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Modern discrete data analysis. Exponential families, orthogonality, link functions. Inference and model selection using analysis of deviance. Shrinkage (Bayesian, frequentist viewpoints). Smoothing. Residuals. Quasi-likelihood. Sliced inverse regression. Contingency tables: logistic regression, log-linear models. Censored data. Applications to current problems in medicine, biological and physical sciences. GLIM, S, software.

  Terms: Winter 2013

  Instructors: David Stephens (Winter)

  • Winter
  • Prerequisite: MATH 423 or EPIB 697
  • Restriction: Not open to students who have taken MATH 426
• MATH 524 Nonparametric Statistics (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Distribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.

  Terms: Fall 2012

  Instructors: Johanna Neslehova (Fall)

  • Fall
  • Prerequisite: MATH 324 or equivalent
  • Restriction: Not open to students who have taken MATH 424
• MATH 525 Sampling Theory and Applications (4 credits)

  Offered by: Mathematics and Statistics (Faculty of Science)

  Overview

  Mathematics & Statistics (Sci) : Simple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.

  Terms: Fall 2012

  Instructors: Russell Steele (Fall)

  • Prerequisite: MATH 324 or equivalent
  • Restriction: Not open to students who have taken MATH 425
• MGSC 575 Applied Time Series Analysis Managerial Forecasting (3 credits)

  Offered by: Management (Desautels Faculty of Management)

  Overview

  Management Science : Management applications of time series analysis. Starting with ratio-to-moving average methods, the course deals successively with Census 2, exponential smoothing methods, the methodology introduced by Box and Jenkins, spectral analysis and time-series regression techniques. Computational aspects and applications of the methodology are emphasized.

  Terms: This course is not scheduled for the 2012-2013 academic year.

  Instructors: There are no professors associated with this course for the 2012-2013 academic year.

  • Prerequisite (Undergraduate): MGCR 271.
  • Restriction: Not open to students who have taken MGSC 675.
• MGSC 578 Simulation of Management Systems (3 credits)

  Offered by: Management (Desautels Faculty of Management)

  Overview

  Management Science : Building simulation models of management systems. Design of simulation experiments and the analysis and implementation of results. Students are expected to design a complete simulation of a real problem using a standard simulation language.

  Terms: Winter 2013

  Instructors: Jeroen Struben (Winter)

  • Prerequisite: (Undergraduate) MGCR 271.
  • Restriction: Not open to students who have taken MGSC 678.

** Students should consult the rules for credit for Statistics courses in the course overlap section of this publication. In particular, MATH 204 cannot be taken for credit after credit for MATH 324 has been obtained.