Online courses directory (19947)

2.26 is a 6-unit Honors-level subject serving as the Mechanical Engineering department's sole course in compressible fluid dynamics. The prerequisites for this course are undergraduate courses in thermodynamics, fluid dynamics, and heat transfer.

The goal of this course is to lay out the fundamental concepts and results for the compressible flow of gases. Topics to be covered include: appropriate conservation laws; propagation of disturbances; isentropic flows; normal shock wave relations, oblique shock waves, weak and strong shocks, and shock wave structure; compressible flows in ducts with area changes, friction, or heat addition; heat transfer to high speed flows; unsteady compressible flows, Riemann invariants, and piston and shock tube problems; steady 2D supersonic flow, Prandtl-Meyer function; and self-similar compressible flows. The emphasis will be on physical understanding of the phenomena and basic analytical techniques.

This course is an introduction to numerical methods and MATLAB^®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).

Prof. Pierre Lermusiaux is very grateful to the teaching assistants Dr. Matt Ueckermann, Dr. Tapovan Lolla, Mr. Jing Lin, and Mr. Arpit Agarwal for their contributions to the course over the years.

The class will be devoted to the work of David Lewis, one of the most exciting and influential philosophers of the late twentieth century. We will have seminar-style discussions about his work on counterfactuals, time, causation, probability, and decision-theory.

This course analyzes combinatorial problems and methods for their solution. Topics include: enumeration, generating functions, recurrence relations, construction of bijections, introduction to graph theory, network algorithms, and extremal combinatorics.

In this second term of Algebraic Topology, the topics covered include fibrations, homotopy groups, the Hurewicz theorem, vector bundles, characteristic classes, cobordism, and possible further topics at the discretion of the instructor.

This subject provides an introduction to fluid mechanics. Students are introduced to and become familiar with all relevant physical properties and fundamental laws governing the behavior of fluids and learn how to solve a variety of problems of interest to civil and environmental engineers. While there is a chance to put skills from calculus and differential equations to use in this subject, the emphasis is on physical understanding of why a fluid behaves the way it does. The aim is to make the students think as a fluid. In addition to relating a working knowledge of fluid mechanics, the subject prepares students for higher-level subjects in fluid dynamics.

This course provides an introduction to the design of feedback systems. Topics covered include: properties and advantages of feedback systems, time-domain and frequency-domain performance measures, stability and degree of stability, root locus method, Nyquist criterion, frequency-domain design, compensation techniques, application to a wide variety of physical systems, internal and external compensation of operational amplifiers, modeling and compensation of power converter systems, and phase lock loops.

This course is the second of a two-term sequence with 6.450. The focus is on coding techniques for approaching the Shannon limit of additive white Gaussian noise (AWGN) channels, their performance analysis, and design principles. After a review of 6.450 and the Shannon limit for AWGN channels, the course begins by discussing small signal constellations, performance analysis and coding gain, and hard-decision and soft-decision decoding. It continues with binary linear block codes, Reed-Muller codes, finite fields, Reed-Solomon and BCH codes, binary linear convolutional codes, and the Viterbi algorithm.

More advanced topics include trellis representations of binary linear block codes and trellis-based decoding; codes on graphs; the sum-product and min-sum algorithms; the BCJR algorithm; turbo codes, LDPC codes and RA codes; and performance of LDPC codes with iterative decoding. Finally, the course addresses coding for the bandwidth-limited regime, including lattice codes, trellis-coded modulation, multilevel coding and shaping. If time permits, it covers equalization of linear Gaussian channels.

This course is designed to provide an introduction to a variety of empirical research methods used by political scientists. The primary aims of the course are to make you a more sophisticated consumer of diverse empirical research and to allow you to conduct advanced independent work in your junior and senior years. This is not a course in data analysis. Rather, it is a course on how to approach political science research.

This course develops skills in research design for policy analysis and planning. The emphasis is on the logic of the research process and its constituent elements. The course relies on a seminar format so students are expected to read all of the assigned materials and come to class prepared to discuss key themes, ideas, and controversies. Since the materials draw broadly on the social sciences, and since students have diverse interests and methodological preferences, ongoing themes in our discussions will be linking concepts to planning scholarship in general and considering how different epistemological orientations and methodological techniques map on to planning specializations.

Social workers are committed professionals who work in partnership with individuals, families and groups experiencing marginalization, disadvantage or social difficulties. This course will give you a thorough knowledge and understanding of what social work is, the skills needed to be a social worker, and what social workers do.<br /><br />There are also video and audio based case studies which will help you further enhance your understanding during this social work online course.<br /><br />ALISON's free Diploma in Social Work Studies online course is ideal for professionals who are already in a health-related or care-giving occupation and who want to learn more about social work, and for learners who are interested in social work as a career.<br />

Present Value is one of the most widely used concepts in the financial world as its calculation can determine the current worth of a future sum of money or stream of cash flow given a specified rate of return. Determining the appropriate discount rate is the key to properly valuing future cash flows, whether they be earnings coming in or obligations going out. This free online financial economics course reviews what the concept of present value is all about and discusses how to calculate the present value using simple calculations. You will learn why the calculation of present value is extremely important in many financial calculations such as net present value, bond yields, spot rates, and pension obligations. Having completed this free course you will be able to calculate present value to help you decide whether you should accept a cash rebate, 0% financing on the purchase of a car or to pay points on a mortgage. This course will be of interest to professionals in the accounting and financial services sectors, to accounting, finance or economics students, or to the general public who wish to understand the concept of present value and how its calculation can help them with their personal finances.<br />

Cell division and replication are fundamental biological processes that occur in all organisms. This free online course about cell division will explain the complex processes of cell division in detail. You will learn about mitosis and meiosis and the phases that occur in each of these processes. You will learn that in the early stages of development embryonic cells can generate all cell types in the body. You will also look at how cells divide and replicate allowing us grow and repair body tissues, and if damage occurs, how some cells can replicate faster than surrounding cells to form tumours. This free course will be of great interest to all students who wish to pursue a career in the sciences, medicine, pharmacy, nursing, biology or biodiversity or the individual learner who simply wants to learn more about mitosis, meiosis and their role in cell division and replication.<br />

Supply and demand in a market economy is one the most fundamental concepts in economics. Demand refers to the quantity of a product or service that is demanded by consumers. Supply refers to how much of the product or service the market can offer. The price of a good or service is greatly influenced by supply and demand and will usually settle at a point where the quantity demanded by consumers will equal the quantity supplied by producers. This free online economics course will review in detail the laws of supply and demand, how they operate in a market economy and how they determine the price of goods and services. The course outlines factors that affect both supply and demand, and how there is an in-built price elasticity within supply and demand for goods or services. This free online economics course will be of great interest to all professionals in the areas of economics, finance, business and politics who would like to learn more about how the price of goods and services is determined, and to all learners who would like a greater understanding of the fundamental laws of supply and demand.<br />

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