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.
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://fd10.formdesk.com/aup/SeniorProjectApplication)
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.
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.
