Course Catalog

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Course Catalog

CALCULUS III (MA3030)

Examines examples from the physical sciences to illustrate the introduced concepts. Topics include: trigonometric and hyperbolic functions; polar coordinates, parametric curves and conic sections; vectors, curves and surfaces in space; vector fields, line integrals, theorems of Green and Stokes.

RESEARCH AND WRITING IN CS & MATHEMATICS (MA3050)

This course addresses writing in a professional context for both Computer Science and Mathematics. Students will learn to write technical material aimed at professionals, to engage in peer review and critique (including writing a reviewing report directed to the author) and appropriate styles of writing for different audiences (e.g. children, the general public, an evaluator, professional colleagues). Students will explore quantitative and qualitative research methodologies, as well as how to design, and report on, different types of studies, including observational studies, scientific experiments, usability studies and many others. Along the way, they will learn to write in mark-up language (such as LaTeX or other) appropriate to the context.

MULTIVARIATE STATISTICAL ANALYSIS (MA3066)

This course is designed to extend the statistical analysis of environmental and social science data: it will highlight the building blocks of multivariate analysis from the definition of the research problem to the interpretation of the results. Both dependence methods (that is in which one or several variables can be expressed in terms of the others – for instance Multivariate Analysis of Variance or Discriminant Analysis) and interdependence methods (where all the variables are analysed simultaneously – for instance Factor & Cluster Analyses or Multidimensional Scaling) will be studied.
Significant applications will be analysed and discussed so as to develop new insights.
Projects (individual or with peers), will allow the students to apply the multivariate models, thereby enhancing the importance of work and knowledge sharing.
Statistical software package: SPSS.
Prerequisite: MA 1020

TOPICS IN MATHEMATICS (MA3091)

Courses on different topics in the discipline, enriching the present course offerings. These classes are taught by permanent or visiting faculty.

APPLIED DIFFERENTIAL EQUATIONS (MA3100)

Applied Differential Equations takes the study of differential equations, begun in Calculus 1, to the next level, and further allows students a first meeting with difference equations.

The first, and larger part of the course, deals with differential equations (DE's) -- linear and non-linear DE's; first and higer-order DE's and systems of DE's; ordinary DE's and partial DE's. Examples come from population dynamics (in various species), hydrostatic equations for water and air, wave equations (for example sound waves, water waves, seismic waves,...)

The second part of the course looks at difference equations, with both time and space differencing connections with differentiation; solutions (numerically as well as algebraically); analysis of solutions in terms of convergence and stability. The one-way wave equation (advection equation) is looked at in more detail.

INTERNSHIP (MA3980)

Internships may be taken for 0 credits. Students may do more than one internship, but internship credit cannot cumulatively total more than 4 credits.

QUANTITATIVE DECISION-MAKING (MA4030)

Demonstrates the use of simple mathematical, statistical, computer techniques to explore marketing, finance, personnel, and production problems. Introduces advanced techniques of operational research: linear and integer programming, simulation, decision analysis, and statistical forecasting. Reviews basic mathematical concepts underlying these techniques by illustrating their use in specific situations. Studies the strengths and weaknesses of mathematical models through individual and group projects.

TOPICS IN MATHEMATICS (MA4091)

Topics vary by semester