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Major Concentration Statistics for Management Students (39 credits)

Offered by: Management     Degree: Bachelor of Commerce

Program Requirements

Mentor: Professor R. Steele; Department of Mathematics and Statistics, Faculty of Science

This program is comprised of 39 credits.

Students entering the Major concentration in Statistics are normally expected to have completed MATH 133, MATH 140, and MATH 141 or their equivalents. Otherwise they will be required to make up any deficiencies in these courses over and above the 39 credits required by the program.

Required Courses (27 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 2014, Winter 2015

    Instructors: Gantumur Tsogtgerel (Winter)

    • 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 2014, Winter 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • 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 242 Analysis 1 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.

    Terms: Fall 2014

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Fall
    • Prerequisite: MATH 141
    • Restriction(s): Not open to students who are taking or who have taken MATH 254.
  • MATH 243 Analysis 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Definition and properties of Riemann integral, Fundamental Theorem of Calculus, Taylor's theorem. Infinite series: alternating, telescoping series, rearrangements, conditional and absolute convergence, convergence tests. Power series and Taylor series. Elementary functions. Introduction to metric spaces.

    Terms: Winter 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Winter
    • Prerequisite: MATH 242 or MATH 254.
  • MATH 314 Advanced Calculus (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss. Fourier series with applications.

    Terms: Fall 2014, Winter 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Prerequisites: MATH 133, MATH 222
    • Restriction: Not open to students who have taken or are taking MATH 248
  • 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 2014, Winter 2015

    Instructors: Djivede Kelome (Winter)

    • 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 2014, Winter 2015

    Instructors: Russell Steele (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 2014

    Instructors: David Stephens (Fall)

    • Fall
    • Prerequisites: MATH 324, and MATH 223 or MATH 236
    • Restriction: Not open to students who have taken or are taking MATH 533.
  • MGSC 373 Operations Research 1 (3 credits)

    Offered by: Management (Desautels Faculty of Management)

    Overview

    Management Science : A realistic experience of analytical models which have been successfully applied in several areas of managerial decision-making like marketing, finance and IS. Emphasis on the formulation of problems, their solution approaches, limitations, underlying assumptions and practical use. Topics include: decision analysis, project management, simulation, linear and integer programming, sensitivity analysis.

    Terms: Fall 2014

    Instructors: Brian E Smith (Fall)

    • Prerequisite: MGCR 271
    • Prerequisite (Continuing Studies): MGCR 273
    • Restriction: Not open to students who have taken MGCR 373
    • Continuing Studies: CMA Requirement

* Credits for MATH 324 are counted toward Management Core, where they replace MGCR 271. MGCR 271 cannot be taken for credit after credit for MATH 324 has been obtained.

Complementary Courses (12 credits)

6 credits selected from:

  • MGSC 479 Applied Optimization (3 credits)

    Offered by: Management (Desautels Faculty of Management)

    Overview

    Management Science : Applications of optimization models to management problems, including Linear Programming, Integer Programming and Nonlinear Programming.

    Terms: This course is not scheduled for the 2014-2015 academic year.

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Prerequisite: MGSC 373.
  • 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 2014-2015 academic year.

    Instructors: There are no professors associated with this course for the 2014-2015 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 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

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

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 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • 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 315 Ordinary Differential Equations (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.

    Terms: Fall 2014, Winter 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Prerequisite: MATH 222.
    • Corequisite: MATH 133.
    • Restriction: Not open to students who have taken or are taking MATH 325.
  • MATH 340 Discrete Structures 2 (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.

    Terms: Winter 2015

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Winter
    • Prerequisites: MATH 235 or MATH 240 or MATH 242.
    • Corequisites: MATH 223 or MATH 236.
    • Restriction: Not open to students who have taken or are taking MATH 343 or MATH 350.
  • MATH 410 Majors Project (3 credits)

    Offered by: Mathematics and Statistics (Faculty of Science)

    Overview

    Mathematics & Statistics (Sci) : A supervised project.

    Terms: Fall 2014, Winter 2015

    Instructors: Djivede Kelome (Fall) Djivede Kelome (Winter)

    • Prerequisite: Students must have 21 completed credits of the required mathematics courses in their program, including all required 200 level mathematics courses.
    • Requires departmental approval.
  • 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 2015

    Instructors: David B Wolfson (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 2015

    Instructors: Russell Steele (Winter)

    • Winter
    • Prerequisite: MATH 423
    • 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 2014

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • 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: This course is not scheduled for the 2014-2015 academic year.

    Instructors: There are no professors associated with this course for the 2014-2015 academic year.

    • Prerequisite: MATH 324 or equivalent
    • Restriction: Not open to students who have taken MATH 425

** MATH 204 cannot be taken for credit after credit for MATH 324 has been obtained. The two courses can be taken concurrently. Students should consult the rules for credit for Statistics courses in the course overlap section.

Desautels Faculty of Management—2014-2015 (last updated Feb. 18, 2014) (disclaimer)