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Topics in Applied Mathematics

Topics in Applied Mathematics

An introduction to mathematical topics not included in the standard coursework, delivered ... (more)

An introduction to mathematical topics not included in the standard coursework, delivered by topics and projects chosen by the student. The objective of this course is to study the basic theory and methods in the toolbox of the core of applied mathematics, with a central scheme that addresses „Ů_Ęinformation processing__„ and with an emphasis on manipulation of digital image data. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Full Course
Homework and Assignments
Readings
Syllabi
Collection:
Saylor Foundation
Provider:
The Saylor Foundation
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The Beauty of Data Visualization

The Beauty of Data Visualization

David McCandless turns complex data sets (like worldwide military spending, media buzz, ... (more)

David McCandless turns complex data sets (like worldwide military spending, media buzz, Facebook status updates) into beautiful, simple diagrams that tease out unseen patterns and connections. Good design, he suggests, is the best way to navigate information glut -- and it may just change the way we see the world. A quiz, thought provoking question, and links for further study are provided to create a lesson around the 18-minute video. Educators may use the platform to easily "Flip" or create their own lesson for use with their students of any age or level. (less)

Subject:
Mathematics and Statistics
Social Sciences
Material Type:
Video Lectures
Collection:
TED-Ed
Provider:
TED-Ed
Author:
McCandless, David
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Principles of Applied Mathematics, Fall 2004

Principles of Applied Mathematics, Fall 2004

Principles of Applied Mathematics is a study of illustrative topics in discrete ... (more)

Principles of Applied Mathematics is a study of illustrative topics in discrete applied mathematics including sorting algorithms, information theory, coding theory, secret codes, generating functions, linear programming, game theory. There is an emphasis on topics that have direct application in the real world. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Kleitman, Daniel
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Principles of Applied Mathematics, Fall 2007

Principles of Applied Mathematics, Fall 2007

Principles of Applied Mathematics is a study of illustrative topics in discrete ... (more)

Principles of Applied Mathematics is a study of illustrative topics in discrete applied mathematics including sorting algorithms, information theory, coding theory, secret codes, generating functions, linear programming, game theory. There is an emphasis on topics that have direct application in the real world. This course was recently revised to meet the MIT Undergraduate Communication Requirement (CR). It covers the same content as 18.310, but assignments are structured with an additional focus on writing. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Kleitman, Daniel
Shor, Peter
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Principles of Applied Mathematics, Spring 2003

Principles of Applied Mathematics, Spring 2003

Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational ... (more)

Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modelling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world. (less)

Subject:
Mathematics and Statistics
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Rosales, Rodolfo
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Principles of Applied Mathematics, Spring 2006

Principles of Applied Mathematics, Spring 2006

Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational ... (more)

Introduction to fundamental concepts in "continuous" applied mathematics. Extensive use of demonstrational software. Discussion of computational and modeling issues. Nonlinear dynamical systems; nonlinear waves; diffusion; stability; characteristics; nonlinear steepening, breaking and shock formation; conservation laws; first-order partial differential equations; finite differences; numerical stability; etc. Applications to traffic problems, flows in rivers, internal waves, mechanical vibrations and other problems in the physical world. (less)

Subject:
Mathematics and Statistics
Material Type:
Assessments
Full Course
Homework and Assignments
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Bazant, Martin
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Protein Folding and Secondary Structure Prediction

Protein Folding and Secondary Structure Prediction

This is a brief introduction to the protein folding problem and methods ... (more)

This is a brief introduction to the protein folding problem and methods for protein Secondary structure prediction. The "Folding@home" project, Stanford University, is used as an example of one approach to studying the protein folding problem. Various s (less)

Subject:
Science and Technology
Material Type:
Readings
Syllabi
Collection:
Connexions
Provider:
Rice University
Author:
Susan Cates
No Strings Attached
Prediction and Predictability in the Atmosphere and Oceans, Spring 2003

Prediction and Predictability in the Atmosphere and Oceans, Spring 2003

Forecasting is the ultimate form of model validation. But even if a ... (more)

Forecasting is the ultimate form of model validation. But even if a perfect model is in hand, imperfect forecasts are likely. This course will cover the factors that limit our ability to produce good forecasts, will show how the quality of forecasts can be gauged a priori (predicting our ability to predict!), and will cover the state of the art in operational atmosphere and ocean forecasting systems. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Other
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Hansen, James
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Digestion Simulation

Digestion Simulation

To reinforce students' understanding of the human digestion process, the functions of ... (more)

To reinforce students' understanding of the human digestion process, the functions of several stomach and small intestine fluids are analyzed, and the concept of simulation is introduced through a short, introductory demonstration of how these fluids work. Students learn what simulation means and how it relates to the engineering process, particularly in biomedical engineering. The teacher demo requires vinegar, baking soda, water and aspirin. (less)

Subject:
Mathematics and Statistics
Science and Technology
Material Type:
Activities and Labs
Lesson Plans
Collection:
TeachEngineering
Provider:
TeachEngineering
Author:
Denise W. Carlson
Jacob Crosby
Malinda Schaefer Zarske
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Hurricanes: New Tools for Predicting

Hurricanes: New Tools for Predicting

This video segment adapted from NOVA scienceNOW features new advances in predicting ... (more)

This video segment adapted from NOVA scienceNOW features new advances in predicting the intensity of hurricanes. ***Access to Teacher's Domain content now requires free login to PBS Learning Media. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Collection:
Teachers' Domain
Provider:
PBS Learning Media
Author:
WGBH Educational Foundation
Read the Fine Print
Introduction to Modeling and Simulation, Spring 2006

Introduction to Modeling and Simulation, Spring 2006

Basic concepts of computer modeling in science and engineering using discrete particle ... (more)

Basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. Techniques and software for statistical sampling, simulation, data analysis and visualization. Use of statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal-footing with theory and experiment. Term project allows development of individual interest. Student mentoring by a coordinated team of participating faculty from across the Institute. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Lecture Notes
Simulations
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Yip, Sidney
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Introduction to Modeling and Simulation, Spring 2002

Introduction to Modeling and Simulation, Spring 2002

Basic concepts of computer modeling in science and engineering using discrete particle ... (more)

Basic concepts of computer modeling in science and engineering using discrete particle systems and continuum fields. Techniques and software for statistical sampling, simulation, data analysis and visualization. Use of statistical, quantum chemical, molecular dynamics, Monte Carlo, mesoscale and continuum methods to study fundamental physical phenomena encountered in the fields of computational physics, chemistry, mechanics, materials science, biology, and applied mathematics. Applications drawn from a range of disciplines to build a broad-based understanding of complex structures and interactions in problems where simulation is on equal-footing with theory and experiment. Term project allows development of individual interest. Student mentoring by a coordinated team of participating faculty from across the Institute. (less)

Subject:
Science and Technology
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Yip, Sidney
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Earthquake Prediction

Earthquake Prediction

This video segment adapted from NOVA tells the tragic story of two ... (more)

This video segment adapted from NOVA tells the tragic story of two Japanese seismologists who disagreed about the threat of earthquakes in the early twentieth century. Today, seismologists in California offer residents a probability of risk that an earthquake might occur. ***Access to Teacher's Domain content now requires free login to PBS Learning Media. (less)

Subject:
Science and Technology
Material Type:
Activities and Labs
Collection:
Teachers' Domain
Provider:
PBS Learning Media
Author:
WGBH Educational Foundation
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Applied Mathematics - Dynamics

Applied Mathematics - Dynamics

These resources are a selection of audio and video podcasts from a ... (more)

These resources are a selection of audio and video podcasts from a first year Dynamics class MAM1044H at the University of Cape Town. The lectures cover a wide range of topics. Systematic introduction to the elements of mechanics kinematics in three dimensions Newtons laws of motion models of forces friction elastic springs fluid resistance Conservation of energy and momentum Simple systems of particles including brief introduction to rigid systems Orbital Mechanics with applications to the planning of space missions to the outer planets (less)

Subject:
Mathematics and Statistics
Material Type:
Audio Lectures
Collection:
University of Cape Town
Provider:
UCT OpenContent
Author:
Professor Peter Dunsby
No Strings Attached
Predicting Earthquakes

Predicting Earthquakes

This video segment, adapted from QUEST, describes the extraordinary research that scientists ... (more)

This video segment, adapted from QUEST, describes the extraordinary research that scientists are doing to help demystify and possibly better predict earthquakes. ***Access to Teacher's Domain content now requires free login to PBS Learning Media. (less)

Subject:
Science and Technology
Material Type:
Video Lectures
Collection:
Teachers' Domain
Provider:
KQED Education
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.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni ... (more)

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Subject:
Science and Technology
Material Type:
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
George Kocur
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