Course Catalog

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Course Catalog

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.

SENIOR PROJECT (MA4095)

A Senior Project is an independent study representing a Major Capstone Project that needs to be registered using the Senior Project registration form.
(Download: https://aupforms.formstack.com/workflows/senior_project)

HISTORY OF THE MIDDLE EAST I (ME1015)

This course surveys major themes in the ancient (pre-Islamic) and medieval history of the Middle East. It is organized around two parts. The first surveys successive civilizations and empires that rose in the region or invaded and dominated it, from the Egyptians, the Assyrians, the Babylonians, the Hittites, the Phoenicians, the Persians, to the Greeks and the Romans/Byzantines. The birth of Judaism and Christianity is presented in this part. The Second covers the rise of Islam, its expansion and the Caliphate it established from the 7th to the late 13th century, when the Mongol seized Bagdad.

HISTORY OF THE MIDDLE EAST II (ME1016)

This course examines the historical development of the Middle East from the rise of the Ottoman Empire to its decline, and later from colonial rule to national independences. It covers the Arab World, Turkey and Iran and follows four main general themes: Reform, Colonialism, Nationalism and Revolution. The course is divided into two main sections which are organised chronologically and thematically. The first part of the course deals with the formation of the Ottoman Empire, its expansion, and the rise of Safavids in Persia. It then covers the reform movements in the Ottoman and Persian (Qajar) Empires, the influence of Europe and the political and social upheaval brought about by the outbreak of revolutions in the early 20th century. Indigenous responses to European penetration and indigenous reform are analysed through an understanding of revolutionary movements, and the rise of nationalism. The second part of the course examines the emergence of states in the Arab World, the British French accords and declarations, the question of Palestine and the Zionist activism and the debates around Secularism vs. Islam.