APPLIED STATISTICS II (MA2020)

Familiarizes students with several types of multivariate statistics methods with respect primarily to applications and interpretations in the area of social sciences. This course will cover the data-analysis concepts and procedures used in applied and experimental psychology, economics, business and in general in social sciences. Emphasis will be given to the qualitative interpretation and manipulation of mathematical and statistical concepts, showing the students their effectiveness through concrete applications. Students will use appropriate software packages for labs and projects.

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)

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.