Course Catalog

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.

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

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.

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.

The Middle East is a region of great diversity with different histories, cultures, languages and populations. It constitutes nevertheless a systematic entity, with close interrelations, and many common political, cultural and socio-economical challenges. The course will explore the cultural, political, ethnic and geographical realities of the region (historically and in the present). It will present as well the ongoing debates and themes in major political and cultural circles.

Internships may be taken for 1 or 4 credits. Students may do more than one internship, but internship credit cannot cumulatively total more than 4 credits.