Open Educational Resources | Pao Yue-kong Library, The Hong Kong Polytechnic University

Courseware

Math 679 - Elliptic Curves

Math 679 is a graduate level mathematics course whose purpose is to prove Mazur's theorem (link is external). Mazur's theorem is a well-known and important result, however it is not often taught in classroom settings. The course is divided into three parts: elliptic curves and abelian varieties, moduli of elliptic curves, and proof of Mazur’s theorem.

Keywords:: Abelian varieties Curves Algebraic Curves Elliptic
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15.875 Applications of System Dynamics

15.875 is a project-based course that explores how organizations can use system dynamics to achieve important goals. In small groups, students learn modeling and consulting skills by working on a term-long project with real-life managers. A diverse set of businesses and organizations sponsor class projects, from start-ups to the Fortune 500. The course focuses on gaining practical insight from the system dynamics process, and appeals to people interested in system dynamics, consulting, or managerial policy-making.

Subjects:: Management
Keywords:: Business consultants Social psychology
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15.024 Applied Economics for Managers | Sloan School of Management

The fact of scarcity forces individuals, firms, and societies to choose among alternative uses – or allocations – of its limited resources. Accordingly, the first part of this summer course seeks to understand how economists model the choice process of individual consumers and firms, and how markets work to coordinate these choices. It also examines how well markets perform this function using the economist's criterion of market efficiency. Overall, this course focuses on microeconomics, with some topics from macroeconomics and international trade. It emphasizes the integration of theory, data, and judgment in the analysis of corporate decisions and public policy, and in the assessment of changing U.S. and international business environments.

Subjects:: Management
Keywords:: Microeconomics
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Farmer's Agribusiness Training Course: Module 3 - Entrepreneurship. Lesson 5: Credit Management

This Farmers' Agribusiness training course has been developed to help both farmers and farmer organisations. Its intention is to provide access to provide access to additional skills and knowledge that will allow farmers to move from a 'farm' to a 'firm'. This lesson describes funding possibilities, the process for sourcing funds, the measures that should be taken to ensure effective utilization of funds, repayment procedures.

Subjects:: Management
Keywords:: Entrepreneurship Credit -- Management
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ESD.10 Introduction to Technology and Policy

This course explores perspectives in the policy process - agenda setting, problem definition, framing the terms of debate, formulation and analysis of options, implementation and evaluation of policy outcomes using frameworks including economics and markets, law, and business and management. Methods include cost/benefit analysis, probabilistic risk assessment, and system dynamics. Exercises include developing skills to work on the interface between technology and societal issues; simulation exercises; case studies; and group projects that illustrate issues involving multiple stakeholders with different value structures, high levels of uncertainty, multiple levels of complexity; and value trade-offs that are characteristic of engineering systems. Emphasis on negotiation, team building and group dynamics, and management of multiple actors and leadership.

Subjects:: Management
Keywords:: Policy sciences -- Economic aspects Political planning -- Economic aspects
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16.660J Introduction to Lean Six Sigma Methods (MIT)

This course covers the fundamental principles, practices and tools of Lean Six Sigma methods that underlay modern organizational productivity approaches applied in aerospace, automotive, health care, and other sectors. It includes lectures, active learning exercises, a plant tour, talks by industry practitioners, and videos. One third of the course is devoted to a physical simulation of an aircraft manufacturing enterprise or a clinic to illustrate the power of Lean Six Sigma methods. The course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.

Subjects:: Management
Keywords:: Industrial efficiency Lean manufacturing Six sigma (Quality control stard)
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ESD.60 Lean/Six Sigma Processes

Students of this course will develop a broad understanding of Lean/Six Sigma principles and practices, build capability to implement Lean/Six Sigma initiatives in manufacturing operations, and learn to operate with awareness of Lean/Six Sigma at the enterprise level. All course materials are organized around a common "single-point lesson" (SPL) format, with some of the SPLs provided by the instructor and guests and with some developed and delivered by student teams.

Subjects:: Management and Computing
Keywords:: Quality control Six sigma (Quality control stard)
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Free Online Course: Six Sigma: Define and Measure from edX | Class Central

An introduction to the Six Sigma methodology and DMAIC cycle for process improvement with a focus on the Define and Measure phases.

Subjects:: Management
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Computer Systems Security

6.858 Computer Systems Security is a class about the design and implementation of secure computer systems. Lectures cover threat models, attacks that compromise security, and techniques for achieving security, based on recent research papers. Topics include operating system (OS) security, capabilities, information flow control, language security, network protocols, hardware security, and security in web applications.

Subjects:: Computing
Keywords:: Data protection Computer security Computer networks -- Security measures Data encryption (Computer science)
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Artificial Intelligence

This course includes interactive demonstrations which are intended to stimulate interest and to help students gain intuition about how artificial intelligence methods work under a variety of circumstances.

Subjects:: Computing
Keywords:: Artificial intelligence
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Design and Analysis of Algorithms

This is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of efficient algorithms, emphasizing methods of application. Topics include divide-and-conquer, randomization, dynamic programming, greedy algorithms, incremental improvement, complexity, and cryptography.

Subjects:: Computing
Keywords:: Algorithms
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User Interface Design and Implementation

This course examines human-computer interaction in the context of graphical user interfaces. The course covers human capabilities, design principles, prototyping techniques, evaluation techniques, and the implementation of graphical user interfaces. Deliverables include short programming assignments and a semester-long group project. Students taking the graduate version also have readings from current literature and additional assignments.

Subjects:: Computing
Keywords:: Human-computer interaction User interfaces (Computer systems)
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CS223A - Introduction to Robotics

The purpose of this course is to introduce you to basics of modeling, design, planning, and control of robot systems. In essence, the material treated in this course is a brief survey of relevant results from geometry, kinematics, statics, dynamics, and control. The course is presented in a standard format of lectures, readings and problem sets.

Subjects:: Mechanical Engineering
Keywords:: Robotics
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CS229 - Machine Learning

This course provides a broad introduction to machine learning and statistical pattern recognition. Topics include: supervised learning (generative/discriminative learning, parametric/non-parametric learning, neural networks, support vector machines); unsupervised learning (clustering, dimensionality reduction, kernel methods); learning theory (bias/variance tradeoffs; VC theory; large margins); reinforcement learning and adaptive control. The course will also discuss recent applications of machine learning, such as to robotic control, data mining, autonomous navigation, bioinformatics, speech recognition, and text and web data processing.

Subjects:: Computing
Keywords:: Pattern perception -- Statistical methods Machine learning
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Molecular, Cellular, and Tissue Biomechanics

This course develops and applies scaling laws and the methods of continuum and statistical mechanics to biomechanical phenomena over a range of length scales, from molecular to cellular to tissue or organ level.

Subjects:: Biomedical Engineering and Biology
Keywords:: Biomedical engineering Biomechanics
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Biomedical Signal and Image Processing

This course presents the fundamentals of digital signal processing with particular emphasis on problems in biomedical research and clinical medicine. It covers principles and algorithms for processing both deterministic and random signals. Topics include data acquisition, imaging, filtering, coding, feature extraction, and modeling. The focus of the course is a series of labs that provide practical experience in processing physiological data, with examples from cardiology, speech processing, and medical imaging. The labs are done in MATLAB® during weekly lab sessions that take place in an electronic classroom. Lectures cover signal processing topics relevant to the lab exercises, as well as background on the biological signals processed in the labs.

Subjects:: Biomedical Engineering and Medical Imaging
Keywords:: Biomedical engineering Signal processing Image processing
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Neurotechnology in Action

This course explores cutting-edge neurotechnology that is essential for advances in all aspects of neuroscience, including improvements in existing methods as well as the development, testing and discussion of completely new paradigms. Readings and in-class sessions cover the fields of electrophysiology, light microscopy, cellular engineering, optogenetics, electron microscopy, MRI / fMRI, and MEG / EEG.

Subjects:: Biomedical Engineering and Biology
Keywords:: Neurotechnology (Bioengineering)
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Principles and Practice of Assistive Technology

This is an interdisciplinary, project-based course, centered around a design project in which small teams of students work closely with a person with a disability in the Cambridge area to design a device, piece of equipment, app, or other solution that helps them live more independently.

Subjects:: Biomedical Engineering, Mechanical Engineering, Rehabilitation Sciences, Computing, and Electrical Engineering
Keywords:: Self-help devices for people with disabilities
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Numerical Fluid Mechanics

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).

Subjects:: Mechanical Engineering
Keywords:: Fluid mechanics
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Internal Combustion Engines

This course studies the fundamentals of how the design and operation of internal combustion engines affect their performance, efficiency, fuel requirements, and environmental impact. Topics include fluid flow, thermodynamics, combustion, heat transfer and friction phenomena, and fuel properties, with reference to engine power, efficiency, and emissions.

Subjects:: Mechanical Engineering
Keywords:: Internal combustion engines
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Mechatronics

This course is an introduction to designing mechatronic systems, which require integration of the mechanical and electrical engineering disciplines within a unified framework. There are significant laboratory-based design experiences. Topics covered in the course include: Low-level interfacing of software with hardware; use of high-level graphical programming tools to implement real-time computation tasks; digital logic; analog interfacing and power amplifiers; measurement and sensing; electromagnetic and optical transducers; control of mechatronic systems.

Subjects:: Mechanical Engineering
Keywords:: Mechatronics
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Elements of Mechanical Design

This is an advanced course on modeling, design, integration and best practices for use of machine elements such as bearings, springs, gears, cams and mechanisms. Modeling and analysis of these elements is based upon extensive application of physics, mathematics and core mechanical engineering principles (solid mechanics, fluid mechanics, manufacturing, estimation, computer simulation, etc.).

Subjects:: Mechanical Engineering
Keywords:: Engineering design Machine design
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Materials Processing

This course is focused on physical understanding of materials processing, and the scaling laws that govern process speed, volume, and material quality. In particular, this course will cover the transport of heat and matter as these topics apply to materials processing.

Subjects:: Mechanical Engineering and Materials Science
Keywords:: Mass transfer Heat -- Transmission Transport theory Manufacturing processes Fluid mechanics
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Electromagnetics and Applications

This course explores electromagnetic phenomena in modern applications, including wireless and optical communications, circuits, computer interconnects and peripherals, microwave communications and radar, antennas, sensors, micro-electromechanical systems, and power generation and transmission. Fundamentals include quasistatic and dynamic solutions to Maxwell's equations; waves, radiation, and diffraction; coupling to media and structures; guided waves; resonance; acoustic analogs; and forces, power, and energy.

Subjects:: Electrical Engineering
Keywords:: Electromagnetism
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Solid-State Circuits

This is a course in analog circuit analysis and design. It covers the tools and methods necessary for the creative design of useful circuits using active devices. The class stresses insight and intuition, applied to the design of transistor circuits and the estimation of their performance. It concentrates on circuits using the bipolar junction transistor, but the techniques that we study can be equally applied to circuits using JFETs, MOSFETs, MESFETs, future exotic devices, or even vacuum tubes.

Subjects:: Electrical Engineering
Keywords:: Analog integrated circuits Linear integrated circuits
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Introduction to Electric Power Systems

This course is an introductory subject in the field of electric power systems and electrical to mechanical energy conversion. Electric power has become increasingly important as a way of transmitting and transforming energy in industrial, military and transportation uses. Electric power systems are also at the heart of alternative energy systems, including wind and solar electric, geothermal and small scale hydroelectric generation.

Subjects:: Electrical Engineering
Keywords:: Electric power systems
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Dynamic Systems and Control

The course addresses dynamic systems, i.e., systems that evolve with time. Typically these systems have inputs and outputs; it is of interest to understand how the input affects the output (or, vice-versa, what inputs should be given to generate a desired output). In particular, this course will concentrates on systems that can be modeled by Ordinary Differential Equations (ODEs), and that satisfy certain linearity and time-invariance conditions.

Subjects:: Computing
Keywords:: Mathematical models Dynamics System theory
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Signals and Systems

This course covers the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses). Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing.

Subjects:: Electrical Engineering
Keywords:: Signal processing System analysis
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Electric Cars: Introduction

This course explores the most important aspects of this new market, including state-of-the-art technology of electric vehicles and charging infrastructure; profitable business models for electric mobility; and effective policies for governmental bodies, which will accelerate the uptake of electric mobility.

Subjects:: Electrical Engineering
Keywords:: Electric vehicles
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Electric Cars: Technology

This course focuses on the technology behind electric cars. You will explore the working principle of electric vehicles, delve into the key roles played by motors and power electronics, learn about battery technology, EV charging, smart charging and about future trends in the development of electric cars.

Subjects:: Electrical Engineering
Keywords:: Electric vehicles Electric vehicles -- Batteries
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Electric Cars: Business

This course explains how electric mobility can work for various businesses, including fleet managers, automobile manufacturers and charging infrastructure providers. The experts of TU Delft, together with other knowledge institutes and companies in the Netherlands, will provide insights into and examples of how innovations have disrupted conventional businesses and created new businesses altogether. This will be explained through various concepts and models, including total cost of ownership models, lean mass production, value chain thinking and business integration.

Subjects:: Electrical Engineering
Keywords:: Electric vehicles Electric vehicle industry
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Database Systems

This course introduces the foundations of database systems, focusing on basics such as the relational algebra and data model, schema normalization, query optimization, and transactions. It is designed for students who have taken 6.033 (or equivalent); no prior database experience is assumed, though students who have taken an undergraduate course in databases are encouraged to attend.

Subjects:: Computing
Keywords:: Database management
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Signals, Systems and Inference

This course covers signals, systems and inference in communication, control and signal processing. Topics include input-output and state-space models of linear systems driven by deterministic and random signals; time- and transform-domain representations in discrete and continuous time; and group delay. State feedback and observers. Probabilistic models; stochastic processes, correlation functions, power spectra, spectral factorization. Least-mean square error estimation; Wiener filtering. Hypothesis testing; detection; matched filters.

Subjects:: Electronic and Information Engineering|Electrical Engineering
Keywords:: Signal processing Signal theory (Telecommunication) System analysis
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Computation Structures

This course introduces architecture of digital systems, emphasizing structural principles common to a wide range of technologies. It covers the topics including multilevel implementation strategies, definition of new primitives (e.g., gates, instructions, procedures, processes) and their mechanization using lower-level elements. It also includes analysis of potential concurrency, precedence constraints and performance measures, pipelined and multidimensional systems, instruction set design issues and architectural support for contemporary software structures.

Subjects:: Electrical Engineering and Computing
Keywords:: Digital electronics
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Communicating with Mobile Technology

This course covers the basics of J2ME and explores mobile imaging and media creation, GPS location, user-centered design, usability testing, and prototyping. Java experience is recommended.

Subjects:: Computing
Keywords:: Mobile apps Mobile computing Cell phone systems Application software -- Development
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Prototyping Avionics

Students of this course will learn to design, build, and debug printed-circuit-boards.

Subjects:: Aeronautical and Aviation Engineering and Electrical Engineering
Keywords:: Avionics Printed circuits -- Design construction
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Aircraft Systems Engineering

This course adopts a holistic view of the aircraft as a system, covering: basic systems engineering; cost and weight estimation; basic aircraft performance; safety and reliability; lifecycle topics; aircraft subsystems; risk analysis and management; and system realization.

Subjects:: Aeronautical and Aviation Engineering
Keywords:: Airplanes -- Design construction
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Masculinity, Sexual Behavior and Health

This course focuses on men's health with particular attention to sexual and reproductive health and healthcare use among adolescents, extending throughout the lifespan.

Subjects:: Health Sciences
Keywords:: Men -- Health hygiene Sexual health Masculinity
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Introduction to Propulsion Systems

This course presents aerospace propulsive devices as systems, with functional requirements and engineering and environmental limitations along with requirements and limitations that constrain design choices. Both air-breathing and rocket engines are covered, at a level which enables rational integration of the propulsive system into an overall vehicle design. Mission analysis, fundamental performance relations, and exemplary design solutions are presented.

Subjects:: Aeronautical and Aviation Engineering
Keywords:: Airplanes -- Jet propulsion Space vehicles -- Propulsion systems
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Airline Management

This course provides an overview of airline management decision processes with a focus on economic issues and their relationship to operations planning models and decision support tools. It emphasizes the application of economic models of demand, pricing, costs, and supply to airline markets and networks, and it examines industry practice and emerging methods for fleet planning, route network design, scheduling, pricing and revenue management.

Subjects:: Aeronautical and Aviation Engineering and Hotel, Travel and Tourism
Keywords:: Airlines -- Management
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Aircraft Stability and Control

This class includes a brief review of applied aerodynamics and modern approaches in aircraft stability and control. Topics covered include static stability and trim; stability derivatives and characteristic longitudinal and lateral-directional motions; and physical effects of the wing, fuselage, and tail on aircraft motion. Control methods and systems are discussed, with emphasis on flight vehicle stabilization by classical and modern control techniques; time and frequency domain analysis of control system performance; and human-pilot models and pilot-in-the-loop controls with applications. Other topics covered include V/STOL stability, dynamics, and control during transition from hover to forward flight; parameter sensitivity; and handling quality analysis of aircraft through variable flight conditions. There will be a brief discussion of motion at high angles-of-attack, roll coupling, and other nonlinear flight regimes.

Subjects:: Aeronautical and Aviation Engineering
Keywords:: Stability of airplanes Flight control
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Introduction to Aeronautical Engineering I

This course provides an overview of and an introduction to the fundamentals of aeronautics, using the history of aviation as a story line. The course uses examples from the very beginning of aviation (the Montgolfier brothers’ balloon flight in 1783 and the Wright brothers’ heavier-than-air flight in 1903) and continues all the way through to the current Airbus A380 and future aircraft. This trajectory will start with a general introduction to aeronautics, to be followed by a closer look at aerodynamics and flight performance.

Subjects:: Aeronautical and Aviation Engineering
Keywords:: Aerospace engineering Airplanes Aeronautics Aerodynamics
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Introduction to Aerospace Structures and Materials

This course introduces the structural and material design of aircraft. Students will see and understand how aircraft and spacecraft are manufactured, and learn how safety is enshrined at every stage. Experts from the Aerospace Structures and Materials Department of Delft University of Technology will help you explore and analyze the mechanical properties of materials; learning about manufacturing techniques, fatigue, loads and stresses, design considerations and more – all the scientific and engineering principles that structural and materials engineers face on a daily basis.

Subjects:: Aeronautical and Aviation Engineering
Keywords:: Space vehicles -- Materials Airplanes -- Materials Aerospace engineering
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Logistics and Supply Chain Management

This course surveys operations research models and techniques developed for a variety of problems arising in logistical planning of multi-echelon systems. There is a focus on planning models for production/inventory/distribution strategies in general multi-echelon multi-item systems. Topics include vehicle routing problems, dynamic lot sizing inventory models, stochastic and deterministic multi-echelon inventory systems, the bullwhip effect, pricing models, and integration problems arising in supply chain management. Probability and linear programming experience required.

Subjects:: Logistics and Industrial and Systems Engineering
Keywords:: Industrial management
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Arthritis and rheumatoid arthritis

A series of videos explaining how joints work and what can go wrong. It covers common muscular-skeletal diseases especially symptoms, causes and treatments on topics related to arthritis & gait. Study materials designed to go with the videos are found at https://www.khanacademy.org/science/health-and-medicine/muscular-skeletal-diseases/arthritis/a/arthritis-and-rheumatoid-arthritis

Subjects:: Rehabilitation Sciences
Keywords:: Rheumatoid arthritis Arthritis
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Endocrine system introduction

A set of 6 video lessons to help the understanding of the endocrine system and how hormones work for the human body. Transcripts included.

Subjects:: Health Sciences
Keywords:: Endocrinology Endocrine gls
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Muscular system introduction

A course consisted of 12 Video & 2 Quizzes introducing how the muscular system works in the human body. Transcripts included.

Subjects:: Health Sciences and Rehabilitation Sciences
Keywords:: Muscle contraction -- Regulation Muscle proteins Troponin I
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Visual Design

Students in this mini-course are introduced to the basics of visual communication design and typography, and learn to analyze and produce effective printed documents, such as technical reports, proposals, and software documentation.

Subjects:: Visualisation and Typography
Keywords:: Communication of technical information Information visualization
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Cultural Heritage Tourism Event Planning and Management

Topics in Cultural Heritage Tourism Event Planning and Management explores the core principles of event planning and management as it specifically relates to cultural heritage tourism, demonstrating the principles through the case study of three existing cultural heritage festivals

Subjects:: Event and Convention and Hotel, Travel and Tourism
Keywords:: Heritage tourism
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Food and Wine Pairing Tutorial

An interactive tutorial intended for individuals who want to overcome the intimidation factor associated with selecting a wine from an endless wine list in a fine restaurant.

Subjects:: Food and Beverage
Keywords:: Food wine pairing Wine wine making Wine tasting
Resource Type:: Courseware

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