# Minor Mathematics for Management Students (18 credits)

Offered by: Management     Degree: Bachelor of Commerce

### Program Requirements

Mentors: Professors A. Hundemer and 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 2014, Winter 2015, Summer 2015

Instructors: Djivede Kelome, Michael Brandenbursky, Christopher Cornwell, Sidney Trudeau (Fall) Djivede Kelome, Sidney Trudeau (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 2014, Winter 2015, Summer 2015

Instructors: Axel W Hundemer, Stephen W Drury, Ronan Conlon (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 2014, Winter 2015, Summer 2015

Instructors: Thomas F Fox (Fall) Axel W Hundemer, Ronan Conlon, Luis Haug (Winter) Stephan Ehlen (Summer)

• 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 (12 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, Summer 2015

Instructors: Jian-Jun Xu, Michael Brandenbursky (Fall) 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: Stephan Ehlen (Fall)

• 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 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, Summer 2015

Instructors: Charles Roth (Fall) Jian-Jun Xu (Winter)

• Prerequisite: MATH 222.
• Corequisite: MATH 133.
• Restriction: Not open to students who have taken or are taking MATH 325.
• 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

#### Complementary Courses (6 credits)

Maximum of 3 credits from:

Offered by: Management (Desautels Faculty of Management)

### Overview

Management Science : A practical managerial approach to advanced simple and multiple regression analysis, with application in finance, economics and business, including a review of probability theory, an introduction to methods of least squares and maximum likelihood estimation, autoregressive forecasting models and analysis of variance.

Terms: Fall 2014, Winter 2015

Instructors: Brian E Smith (Fall) Brian E Smith (Winter)

• Prerequisite: MGCR 271
• Restriction: Not open to students who have taken MGSC 272 or MGCR 272
• 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.

• 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.

• Restriction: Not open to students who have taken MGSC 678.

The remaining 3 credits selected from:

• MATH 316 Complex Variables (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

### Overview

Mathematics & Statistics (Sci) : Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.

Terms: Fall 2014

Instructors: John A Toth (Fall)

• Fall
• Prerequisites: MATH 314 and MATH 243
• Restriction: Not open to students who have taken or are taking MATH 249, MATH 366, MATH 381 or MATH 466.
• MATH 317 Numerical Analysis (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

### Overview

Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.

Terms: Fall 2014

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

• Fall
• Prerequisites: MATH 315 or MATH 325 or MATH 263, and COMP 202 or permission of instructor.
• MATH 319 Introduction to Partial Differential Equations (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

### Overview

Mathematics & Statistics (Sci) : First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.

Terms: Winter 2015

Instructors: Peter Bartello (Winter)

• Winter
• Prerequisites: MATH 223 or MATH 236, MATH 314, MATH 315
• 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, Summer 2015

Instructors: William J Anderson (Fall) Djivede Kelome (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 326 Nonlinear Dynamics and Chaos (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

### Overview

Mathematics & Statistics (Sci) : Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.

Terms: Fall 2014

Instructors: Jean-Christophe Nave (Fall)

• Fall
• Prerequisites: MATH 222, MATH 223
• Restriction: Not open to students who have taken or are taking MATH 376
• 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: Frederick Shepherd (Winter)

• 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 407 Dynamic Programming (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

### Overview

Mathematics & Statistics (Sci) : Sequential decision problems, resource allocation, transportation problems, equipment replacement, integer programming, network analysis, inventory systems, project scheduling, queuing theory calculus of variations, markovian decision processes, stochastic path problems, reliability, discrete and continuous control processes.

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.

• Winter
• Prerequisites: COMP 202; MATH 223 or MATH 236, MATH 314, MATH 315 and MATH 323
• MATH 417 Mathematical Programming (3 credits)

Offered by: Mathematics and Statistics (Faculty of Science)

### Overview

Mathematics & Statistics (Sci) : An introductory course in optimization by linear algebra, and calculus methods. Linear programming (convex polyhedra, simplex method, duality, multi-criteria problems), integer programming, and some topics in nonlinear programming (convex functions, optimality conditions, numerical methods). Representative applications to various disciplines.

Terms: Fall 2014

Instructors: Nicolas Bousquet (Fall)

• Prerequisites: COMP 202, and MATH 223 or MATH 236, and MATH 314 or equivalent
• Restriction: Not open to students who have taken or are taking MATH 487.
Desautels Faculty of Management—2014-2015 (last updated Feb. 18, 2014) (disclaimer)