Course Catalog

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CALCULUS II (MA2030)

The continuation of MA1030, Calculus I. This course is appropriate for economics, mathematics, business and computer science majors and minors. Topics include: infinite series and applications; differential equations of first and second order and applications, functions of several variables, partial derivatives with applications, especially Lagrange multipliers. Includes the use of Mathematica.

LINEAR ALGEBRA (MA2041)

Treats applications in economics and computer science, limited to Euclidean n-space. Topics include: the linear structure of space, vectors, norms and angles, transformations of space, systems of linear equations and their applications, the Gauss-Jordan method, matrices, determinants, eigenvalues and eigenvectors. Uses Mathematica for graphics and algorithms.

TOPICS IN MATHEMATICS (MA2091)

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

DISCRETE MATHEMATICS (MA2400)

This course is designed to highlight discrete mathematical structures. Discusses propositional logic, proofs and mathematical induction, matrices of relations and digraphs, set theory and number bases, combinatorial analysis, graph theory and Boolean algebra.The prerequisite for this course is MA1010 or above or CS 1040.

PROBABILITY (MA3005)

Examines probability in its various components and through its diverse applications. Topics include: combinatorial analysis, axioms of probability, discrete random variables and distributions & continuous random variables and probability density functions, joint distribution functions, law of large numbers. The statistical concepts of conditioning, independence and expectation will be highlighted, as well as the notion of moments. Selected applications will shed light on the use of probability in various fields.

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)

One of the most critical factors in the success of an idea is effective communication.

This course addresses written communication in different contexts for both Computer Science and Mathematics.

Students will learn to choose the appropriate styles for different audiences (e.g. textbooks, articles/reviews, posters, general public, professional colleagues).
They will be asked to research and report on small practical tasks in bot CS and Math, such as proof, empiric complexity analysis of algorithmic strategies, data analysis and visualization and software documentation, producing well structured and formatted documents. Along the way, they will learn to use mark-up languages (such as LaTeX and markdown) and dedicated software for plotting and graphics editing.

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.