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It's a Connected World: The Beauty of Network Science
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Educational Use
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Students learn about complex networks and how to use graphs to represent them. They also learn that graph theory is a useful part of mathematics for studying complex networks in diverse applications of science and engineering, including neural networks in the brain, biochemical reaction networks in cells, communication networks, such as the internet, and social networks. Students are also introduced to random processes on networks. An illustrative example shows how a random process can be used to represent the spread of an infectious disease, such as the flu, on a social network of students, and demonstrates how scientists and engineers use mathematics and computers to model and simulate random processes on complex networks for the purposes of learning more about our world and creating solutions to improve our health, happiness and safety.

Subject:
Applied Science
Engineering
Material Type:
Unit of Study
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Debbie Jenkinson
Garrett Jenkinson
John Goutsias
Susan Frennesson
Date Added:
09/18/2014
LabXchange
Conditional Remix & Share Permitted
CC BY-NC
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LabXchange is an online community for learning, sharing, and collaboration.

Labs are places of exploration and discovery for every field imaginable. In this spirit, you can discover, engage, and share what you learn on LabXchange. We curate and create world-class digital content, delivered on a free, online platform that lets you integrate your learning and research experiences. Here, you take control of your learning and solve real-world problems as a community. Participation will always be free.

For information about upcoming professional development workshops, visit our blog!

Subject:
Anatomy/Physiology
Applied Science
Biology
Chemistry
Environmental Science
Genetics
Health, Medicine and Nursing
Information Science
Life Science
Mathematics
Measurement and Data
Nutrition
Physical Science
Physics
Statistics and Probability
Material Type:
Activity/Lab
Case Study
Data Set
Diagram/Illustration
Homework/Assignment
Interactive
Reading
Simulation
Teaching/Learning Strategy
Textbook
Date Added:
02/03/2022
Logistical and Transportation Planning Methods, Fall 2006
Conditional Remix & Share Permitted
CC BY-NC-SA
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Quantitative techniques of operations research with emphasis on applications in transportation systems analysis (urban, air, ocean, highway, and pickup and delivery systems) and in the planning and design of logistically oriented urban service systems (e.g., fire and police departments, emergency medical services, and emergency repair services). Unified study of functions of random variables, geometrical probability, multi-server queuing theory, spatial location theory, network analysis and graph theory, and relevant methods of simulation. Computer exercises and discussions of implementation difficulties.

Subject:
Business and Communication
Management
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Larson, Richard
Date Added:
01/01/2006
MIT Physics 8.02: Electrostatics - Electric Field of a Dipole
Unrestricted Use
CC BY
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This is an interactive 3-D simulation of the electric field of two equal and opposite charges. The user moves an observation point around to see how the total field at various points arises from the individual fields of each charge. This item is part of a larger collection of visualizations developed by the MIT TEAL/Studio Physics Project to support an introductory course in electricity and magnetism. Lecture notes, labs, and presentations are also available as part of the MIT Open Courseware Repository: MIT Open Courseware: Electricity and Magnetism

Subject:
Education
Physical Science
Physics
Material Type:
Interactive
Provider:
ComPADRE Digital Library
Provider Set:
ComPADRE: Resources for Physics and Astronomy Education
Author:
John Belcher
Michael Danziger
National Science Foundation
Date Added:
04/12/2010
Maneuvering and Control of Surface and Underwater Vehicles (13.49), Fall 2004
Conditional Remix & Share Permitted
CC BY-NC-SA
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Maneuvering motions of surface and underwater vehicles. Derivation of equations of motion, hydrodynamic coefficients. Memory effects. Linear and nonlinear forms of the equations of motion. Control surfaces modeling and design. Engine, propulsor, and transmission systems modeling and simulation during maneuvering. Stability of motion. Principles of multivariable automatic control. Optimal control, Kalman filtering, loop transfer recovery. Term project: applications chosen from autopilots for surface vehicles; towing in open seas; remotely operated vehicles.

Subject:
Oceanography
Physical Science
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Michael Triantafyllou
Date Added:
01/01/2004
Mathematics for Materials Scientists and Engineers, Fall 2005
Conditional Remix & Share Permitted
CC BY-NC-SA
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This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis. Users may find additional or updated materials at Professor Carter's 3.016 course Web site.

Subject:
Calculus
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Carter, W. Craig
Date Added:
01/01/2005
Modeling and Simulation for High School Teachers: Principles, Problems, and Lesson Plans
Conditional Remix & Share Permitted
CC BY-NC-SA
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A collaboration between the National Aeronautics and Space Administration (NASA) and the CK-12 Foundation, this book provides high school mathematics and physics teachers with an introduction to the main principles of modeling and simulation used in science and engineering. An appendix of lesson plans is included.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Lesson Plan
Teaching/Learning Strategy
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
04/03/2018
Particle Collision Simulation
Unrestricted Use
CC BY
Rating
0.0 stars

This simulation explores the relationship between particle kinetic energies during particle collisions. It is used in Lesson 13 of Unit 6.2 in the OpenSciEd curriculum.

Subject:
Physical Science
Physics
Material Type:
Simulation
Author:
OpenSciEd
Date Added:
04/29/2021
Passing the Bug
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Educational Use
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Students apply concepts of disease transmission to analyze infection data, either provided or created using Bluetooth-enabled Android devices. This data collection may include several cases, such as small static groups (representing historically rural areas), several roaming students (representing world-travelers), or one large, tightly knit group (representing urban populations). To explore the algorithms to a deeper degree, students may also design their own diseases using the App Inventor framework.

Subject:
Applied Science
Education
Engineering
Life Science
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Douglas Bertelsen
Date Added:
09/18/2014
Pendulum Lab
Unrestricted Use
CC BY
Rating
0.0 stars

Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing. It's easy to measure the period using the photogate timer. You can vary friction and the strength of gravity. Use the pendulum to find the value of g on planet X. Notice the anharmonic behavior at large amplitude.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Michael Dubson
Trish Loeblein
Date Added:
10/27/2008
Processes on Complex Networks
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Educational Use
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Building on their understanding of graphs, students are introduced to random processes on networks. They walk through an illustrative example to see how a random process can be used to represent the spread of an infectious disease, such as the flu, on a social network of students. This demonstrates how scientists and engineers use mathematics to model and simulate random processes on complex networks. Topics covered include random processes and modeling disease spread, specifically the SIR (susceptible, infectious, resistant) model.

Subject:
Applied Science
Education
Engineering
Life Science
Mathematics
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Debbie Jenkinson
Garrett Jenkinson
John Goutsias
Susan Frennesson
Date Added:
09/18/2014
Projectile Motion  set initial velocity components
Conditional Remix & Share Permitted
CC BY-SA
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This simulation is about Projectile Motion set initial velocity components

هذه المحاكاة تتعلق بحركة المقذوفات - وآلية تحديد مكونات السرعه الأولية.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
Boston University
Author:
Andrew Duffy
Date Added:
08/10/2020
Projectile Motion  with motion diagram and velocity components
Conditional Remix & Share Permitted
CC BY-SA
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This simulation is about Projectile Motion with motion diagram and velocity components

, هذه المحاكاة تتحدث عن - حركة المقذوفات , مع عناصر الرسم البياني الحركة والسرعه.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
Boston University
Author:
Andrew Duffy
Date Added:
08/10/2020
Projectile Motion with motion diagram, velocity components, and graphs
Unrestricted Use
CC BY
Rating
0.0 stars

This simulation is about Projectile Motion (with motion diagram, velocity components, and graphs,

هذه المحاكاة هي تتحدث عن حركة المقذوفات ومايتعلق بمخطط الحركة، مكوناته والسرعة، والرسوم البيانية

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
Boston University
Author:
Andrew Duffy
Date Added:
08/10/2020
Race between a dropped ball and one launched horizontally
Conditional Remix & Share Permitted
CC BY-SA
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This simulation is showing the Race between a dropped ball and one launched horizontally هذه المحاكاة توضح الفرق بالسرعه بين كرة سقطت من الأعلى الى الأسفل وبين كرة اطلقت من الأسفل الى الأعلى.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
Boston University
Author:
Andrew Duffy
Date Added:
08/10/2020
Radiative Transfer, Spring 2006
Conditional Remix & Share Permitted
CC BY-NC-SA
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Principles of thermal radiation and their application to engineering heat and photon transfer problems. Quantum and classical models of radiative properties of materials, electromagnetic wave theory for thermal radiation, radiative transfer in absorbing, emitting, and scattering media, and coherent laser radiation. Applications cover laser-material interactions, imaging, infrared instrumentation, global warming, semiconductor manufacturing, combustion, furnaces, and high temperature processing.

Subject:
Career and Technical Education
Manufacturing
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Chen, Gang
Date Added:
01/01/2006
Relative velocity: race on a moving sidewalk
Conditional Remix & Share Permitted
CC BY-SA
Rating
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This simulation involves relative velocity in one dimension. It is an out-and-back race between two women. Mia runs on the moving sidewalk, while Brandi runs on the non-moving floor. Under what conditions is the race a tie? Under what conditions does Mia win? Under what conditions does Brandi win?

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
Boston University
Author:
Andrew Duffy
Date Added:
08/10/2020
Star Library: Counting Eights: A First Activity in the Study and Interpretation of Probability
Conditional Remix & Share Permitted
CC BY-NC-SA
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0.0 stars

Students explore the definition and interpretations of the probability of an event by investigating the long run proportion of times a sum of 8 is obtained when two balanced dice are rolled repeatedly. Making use of hand calculations, computer simulations, and descriptive techniques, students encounter the laws of large numbers in a familiar setting. By working through the exercises, students will gain a deeper understanding of the qualitative and quantitative relationships between theoretical probability and long run relative frequency. Particularly, students investigate the proximity of the relative frequency of an event to its probability and conclude, from data, that the dispersion of the relative frequency diminishes on the order .

Subject:
Mathematics
Statistics and Probability
Material Type:
Activity/Lab
Provider:
Consortium for the Advancement of Undergraduate Statistics Education
Provider Set:
Causeweb.org
Author:
Hartlaub, Bradley
Jones, Brian D.
Date Added:
01/22/2020