Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

Following a brief classroom discussion of relevant principles, each student completes the paper design of several advanced circuits such as multiplexers, sample-and-holds, gain-controlled amplifiers, analog multipliers, digital-to-analog or analog-to-digital converters, and power amplifiers. One of each student's designs is presented to the class, and one may be built and evaluated. Associated laboratory emphasizing the use of modern analog building blocks. Alternate years.

Materials covered include: special relativity, electrodynamics of moving media, waves in dispersive media, microstrip integrated circuits, quantum optics, remote sensing, radiative transfer theory, scattering by rough surfaces, effective permittivities, and random media.

Theoretical topics of fluid dynamics relevant to natural phenomena or man-made hazards in water and atmosphere. Basic law of fluid motion. Scaling and approximations. Slow flows, with applications to drag on a particle and mud flow on a slope. Boundary layers: jets and plumes in pure fluids or in porous media. Thermal and buoyancy effects, selective withdrawal and internal waves. Transient boundary layers in impulsive flows or waves. Induced streaming and mass transport. Dispersion in steady flows or in waves. Effects of earth rotation on coastal flows. Wind induced flow in shallow seas. Stratified seas and coastal upwelling.

Theoretical topics of fluid dynamics relevant to natural phenomena or man-made hazards in water and atmosphere. Basic law of fluid motion. Scaling and approximations. Slow flows, with applications to drag on a particle and mud flow on a slope. Boundary layers: jets and plumes in pure fluids or in porous media. Thermal and buoyancy effects, selective withdrawal and internal waves. Transient boundary layers in impulsive flows or waves. Induced streaming and mass transport. Dispersion in steady flows or in waves. Effects of earth rotation on coastal flows. Wind induced flow in shallow seas. Stratified seas and coastal upwelling.

This course is a survey of principal concepts and methods of fluid dynamics. Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows.

This lesson is designed to follow the Intermediate SAEs:The Next Step. The objective is to continue to move students through the research and development of their Foundational Career SAE. The students will continue to work on their Foundational SAE project based on their career interest, but research topics at the advanced level. The teacher may choose to only use the Foundational SAE project or they can also include an immersion SAE project that students keep track of their time, income and expenses over the course of the class. The students will participate in weekly assignments for their Foundational SAE and if they are completing an immersion SAE they will keep track of their hours each week. Starting SAE projects in the classroom should be simple for the teacher and students. Minimum expectations that can still produce success for all students would be tracking 1-hour of SAE time per week, exploring one career topic per week, and recording one financial entry per month. A final report or project at the end of the class would also be a minimum expectation for all students.

Site characterization and geotechnical aspects of the design and construction of foundation systems. Topics include site investigation (with emphasis on in situ testing), shallow (footings and raftings) and deep (piles and caissons) foundations, excavation support systems, groundwater control, slope stability, soil improvement (compaction, soil reinforcement, etc.), and construction monitoring.

Advanced Igneous Petrology covers the history of and recent developments in the study of igneous rocks. Students review the chemistry and structure of igneous rock-forming minerals and proceed to study how these minerals occur and interact in igneous rocks. The course focuses on igneous processes and how we have learned about them through studying a number of significant sites worldwide.

Systematic development of reading, writing, and oral communication skills. Introduction to advanced grammar that deepens the understanding of Japanese culture and society through reading and discussion. Lab work required. This course covers lessons 22 through 27 of Japanese: The Spoken Language by Eleanor H. Jordan with Mari Noda. The goal of the course is to continue to build oral proficiency by expanding your knowledge of vocabulary and grammar. Class hours will be devoted to developing speaking skills in a variety of circumstances; making requests, invitations, apologies, suggestions, dealing with problems, expressing your opinions, etc. Grammatical and social appropriateness on your utterances will be stressed. Keep in mind that daily tape-work is essential.

Continuation of 21F.505. Further development of reading, writing, and oral communication skills. Extension of advanced grammar and further enhancement of advanced vocabulary. Variety of cultural elements studied through readings, video, and discussion. Lab work required. This course covers Lessons 27 through 30 of Japanese: The Spoken Language by Eleanor H. Jordan with Mari Noda. The goal of the course is to continue expanding grammar and vocabulary by further developing four skills: speaking, listening, reading, and writing. The goal is to acquire the ability to use Japanese appropriately with increasing spontaneity emphasized, and to be prepared to become an independent learner to the point where you are capable of handling authentic Japanese by yourself, without fear or hesitation.

This course is an advanced course in macroeconomics that seeks to bring students to the research frontier. The course is divided into two sections. The first half is taught by Prof. Iv‡n Werning and covers topics such as how to formulate and solve optimal problems. Students will study fiscal and monetary policy, among other issues. The second half, taught by Prof. George-Marios Angeletos, covers recent work on multiple equilibria, global games, and informational fictions.

Topics change from year to year. Most recent topics include: optimal fiscal and monetary policy; optimal capital taxation; time inconsistency and incentive incompatibility of optimal policies; redistribution and political economics; heterogeneous agents and incomplete markets; Real Business Cycle models and new-keynesian models; endogenous growth; aggregate fluctuations and propagation mechanisms; recursive methods and robust control in macro.

This brief video from the New North region gives an overview of the Advanced Manufacturing Pathway and the process students can use to access the pathway and its components.

This course is a graduate introduction to natural language processing - the study of human language from a computational perspective. It covers syntactic, semantic and discourse processing models, emphasizing machine learning or corpus-based methods and algorithms. It also covers applications of these methods and models in syntactic parsing, information extraction, statistical machine translation, dialogue systems, and summarization. The subject qualifies as an Artificial Intelligence and Applications concentration subject.

Application of structure and theory to the study of organic reaction mechanisms: stereochemical features including conformation and stereoelectronic effects; reaction dynamics, isotope effects and molecular orbital theory applied to pericyclic and photochemical reactions; and special reactive intermediates including carbenes, carbanions, and free radicals.

" The focus of the course is the concepts and techniques for solving the partial differential equations (PDE) that permeate various scientific disciplines. The emphasis is on nonlinear PDE. Applications include problems from fluid dynamics, electrical and mechanical engineering, materials science, quantum mechanics, etc."

This course focuses on phonological phenomena that are sensitive to morphological structure, including base-reduplicant identity, cyclicity, level ordering, derived environment effects, opaque rule interactions, and morpheme structure constraints. In the recent OT literature, it has been claimed that all of these phenomena can be analyzed with a single theoretical device: correspondence constraints, which regulate the similarity of lexically related forms (such as input and output, base and derivative, base and reduplicant).

Investigates conceptual and formal issues in different media or between media such as sculpture, photography, and video. Explores issues of representation, interpretation, and meaning, and how they relate to historical, social and cultural context.

This course will explore the mutual influences of ideas of nature, theories of city design and planning, and practices of urban design, construction, and management. We will investigate how natural processes shape urban landscapes (from the scale of street corner to region) and how to intervene strategically in those processes in order to achieve certain goals. We will examine cases of cities that adapted successfully to natural processes and those that did not. Students will then have the opportunity to research a case of their choice and to present their findings for discussion. The subject may be historical or an an example of contemporary theory and practice. Additional information is also available at Professor Spirn’s class website.