Momentum principles and energy principles. Lagrange's equations, Hamilton's principle. Applications to mechanical systems including gyroscopic effects. Study of steady motions and nature of small deviations therefrom. Natural modes and natural frequencies for continuous and lumped parameter systems. Forced vibrations. Dynamic stability theory. Causes of instability. This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems. This course was originally developed by Professor T. Akylas.

First of two-term sequence on modeling, analysis and control of dynamic systems. Mechanical translation, uniaxial rotation, electrical circuits and their coupling via levers, gears and electro-mechanical devices. Analytical and computational solution of linear differential equations and state-determined systems. Laplace transforms, transfer functions. Frequency response, Bode plots. Vibrations, modal analysis. Open- and closed-loop control, instability. Time-domain controller design, introduction to frequency-domain control design techniques. Case studies of engineering applications.

This course will introduce the student to the history of sub-Saharan Africa from the European 'scramble for Africa' in the late nineteenth century to the present day. The student will learn about the major political, economic, and social changes that took place in Africa during this period. Each unit will include representative primary-source documents that illustrate important overarching political, economic, and social themes in modern African history, such as the effects of World War I and World War II, the rise of African nationalism, decolonization and wars for independence, the influence of the Cold War, the problems of development, and the causes and consequences of the civil wars that have plagued African countries in the latter twentieth century. By the end of the course, the student will understand the historical origins of the challenges independent African nations face today. Upon successful completion of this course, the student will be able to: Identify and describe the regions of Africa colonized by European powers; Understand the causes of European imperialism and its short and long-term effects on African societies; Describe key African response to colonial rule; Identify and describe the effects of the First and Second World Wars on Africa; Identify and describe the causes of decolonization in Africa; Identify and describe the major political, economic, and social challenges to African states and societies after independence. (History 252)

Advanced topics emphasizing thermo-fluid dynamic phenomena and analysis methods. Single-heated channel-transient analysis. Multiple-heated channels connected at plena. Loop analysis including single and two-phase natural circulation. Kinematics and dynamics of two-phase flows with energy addition. Boiling, instabilities, and critical conditions. Subchannel analysis.

The Voyager and Pioneer Spacecraft have detected large-scale quasi-periodic plasma fluctuations in the outer heliosphere beyond 20 AU. A plasma vortex sheet model can explain these fluctuations and the observed correlations between various physical variables. The large scale outer heliosphere is modeled by solving the 3-D compressible magneto-hydrodynamic equations involving three interacting shear layers. Computations were done on a Cray computer at the NASA Center for Computational Sciences. Six cases are animated: Weak magnetic field and strong magnetic field, each at three values of tau, the vortex street characteristic time. Contours of density are shown as dark transparent tubes. Critical points of the velocity field are represented by Glyphs. Vortex cores are shown in orange and blue.

The Voyager and Pioneer Spacecraft have detected large-scale quasi-periodic plasma fluctuations in the outer heliosphere beyond 20 AU. A plasma vortex sheet model can explain these fluctuations and the observed correlations between various physical variables. The large scale outer heliosphere is modeled by solving the 3-D compressible magneto-hydrodynamic equations involving three interacting shear layers. Computations were done on a Cray computer at the NASA Center for Computational Sciences. Six cases are animated: Weak magnetic field and strong magnetic field, each at three values of tau, the vortex street characteristic time. Contours of density are shown as dark transparent tubes. Critical points of the velocity field are represented by Glyphs. Vortex cores are shown in orange and blue.