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Principles of Applied Mathematics
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CC BY-NC-SA
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18.311 Principles of Continuum Applied Mathematics covers fundamental concepts in continuous applied mathematics, including applications from traffic flow, fluids, elasticity, granular flows, etc. The class also covers continuum limit; conservation laws, quasi-equilibrium; kinematic waves; characteristics, simple waves, shocks; diffusion (linear and nonlinear); numerical solution of wave equations; finite differences, consistency, stability; discrete and fast Fourier transforms; spectral methods; transforms and series (Fourier, Laplace). Additional topics may include sonic booms, Mach cone, caustics, lattices, dispersion, and group velocity.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Rosales, Rodolfo
Date Added:
02/01/2014
Principles of Computer System Design: An Introduction
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CC BY-NC-SA
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Principles of Computer System Design: An Introduction is published in two parts. Part I, containing chapters 1-6, is a traditional printed textbook published by Morgan Kaufman, an imprint of Elsevier. Part II, containing chapters 7-11, is available here as an open educational resource.
This textbook, an introduction to the principles and abstractions used in the design of computer systems, is an outgrowth of notes written for 6.033 Computer System Engineering over a period of 40-plus years. Individual chapters are also used in other EECS subjects. There is also a web site for the current 6.033 class with a lecture schedule that includes daily assignments, lecture notes, and lecture slides. The 6.033 class Web site also contains a thirteen-year archive of class assignments, design projects, and quizzes.

Subject:
Applied Science
Computer Science
Engineering
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Kaashoek, M.
Saltzer, Jerome
Date Added:
02/01/2009
Principles of Discrete Applied Mathematics
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CC BY-NC-SA
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This course is an introduction to discrete applied mathematics. Topics include probability, counting, linear programming, number-theoretic algorithms, sorting, data compression, and error-correcting codes. This is a Communication Intensive in the Major (CI-M) course, and thus includes a writing component.

Subject:
Business and Communication
Communication
Mathematics
Social Science
Statistics and Probability
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Goemans, Michel
Orecchia, Lorenzo
Peng, Richard
Ruff, Susan
Date Added:
09/01/2013
Project Euclid: Mathematics and Statistics Resources Online
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Project Euclid's mission is to advance scholarly communication in the field of theoretical and applied mathematics and statistics. It provides access to independent and society journals publishing in these areas. Through the site users can view tables of contents and article abstracts and benefit from a system offering full-text searching, reference linking, and cross-linking to Math Reviews, Zentralblatt, and CrossRef. The site also offers monographs and conference proceedings in these fields.

Subject:
Mathematics
Statistics and Probability
Material Type:
Reading
Provider:
Cornell University
Provider Set:
Project Euclid
Author:
Cornell University
Duke University Press
Scholarly Publishing and Academic Resources Coalition (SPARC)
Date Added:
11/04/2014
Proportional Reasoning and the Bee Waggle Dance
Unrestricted Use
CC BY
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Math in Real Life (MiRL) supports the expansion of regional networks to create an environment of innovation in math teaching and learning.  The focus on applied mathematics supports the natural interconnectedness of math to other disciplines while infusing relevance for students.  MiRL supports a limited number of networked math learning communities that focus on developing and testing applied problems in mathematics.  The networks help math teachers refine innovative teaching strategies with the guidance of regional partners and the Oregon Department of Education.

Subject:
Mathematics
Material Type:
Activity/Lab
Author:
Tom Thompson
Date Added:
08/10/2020
Quantifying Uncertainty
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CC BY-NC-SA
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The ability to quantify the uncertainty in our models of nature is fundamental to many inference problems in Science and Engineering. In this course, we study advanced methods to represent, sample, update and propagate uncertainty. This is a "hands on" course: Methodology will be coupled with applications. The course will include lectures, invited talks, discussions, reviews and projects and will meet once a week to discuss a method and its applications.

Subject:
Applied Science
Computer Science
Engineering
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Ravela, Sai
Date Added:
09/01/2012
Quinoa Pasta 3
Unrestricted Use
CC BY
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This tasks is an example of a mathematical modeling problem (SMP 4) and it also illustrates SMP 1 (Making sense of a problem). Students are only told that there are two ingredients in the pasta and they have a picture of the box. It might even be better to just show the picture of the box, or to bring in the box and ask the students to pose the question themselves.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
09/13/2012
Reactive Transport in the Subsurface
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CC BY-NC-SA
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This course teaches principles of flow, transport, and reaction processes in the natural subsurface.

Subject:
Career and Technical Education
Chemistry
Environmental Studies
Physical Geography
Physical Science
Material Type:
Full Course
Provider:
Penn State College of Earth and Mineral Sciences
Author:
Li Li
Date Added:
10/07/2019
Real World Class Documentary: Student Voices for Financial Education
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CC BY-NC
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This video from Next Gen Personal Finance follows the stories of five remarkable students from Maryland, New Mexico, North Carolina, Wisconsin, and Washington. The short (19 min.) documentary film demonstrates how student activism is behind the movement to increase access to financial education.

Subject:
Business and Communication
Career and Technical Education
Economics
Finance
Social Science
Material Type:
Activity/Lab
Case Study
Teaching/Learning Strategy
Author:
Next Gen Personal Finance
Date Added:
12/06/2022
RealWorldMath
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CC BY-NC-SA
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Real World Math is a collection of free math activities for Google Earth designed for students and educators. Mathematics is much more than a set of problems in a textbook. In the virtual world of Google Earth, concepts and challenges can be presented in a meaningful way that portray the usefulness of the ideas.

Material Type:
Homework/Assignment
Interactive
Lesson Plan
Simulation
Teaching/Learning Strategy
Provider:
Real World Math
Provider Set:
Individual Authors
Author:
Thomas Petra
Date Added:
03/27/2008
Reliable Resources Workshop
Only Sharing Permitted
CC BY-NC-ND
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In this collection you will find all the resources shared originally at our Reliable Resources workshop on April 22, 2021.  These resources include lesson plans, curriculum, teaching strategies, and games for teachers and students to develop a better understanding of economics and personal finance.

Subject:
Career and Technical Education
Economics
Finance
Material Type:
Activity/Lab
Game
Homework/Assignment
Lesson
Lesson Plan
Teaching/Learning Strategy
Author:
Linda Gallivan
Financial Education Public-Private Partnership
Washington OSPI OER Project
Date Added:
04/21/2021
Remote Learning Plan: Comparison and Discount Shopping Personal Finance
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CC BY-NC-SA
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This Remote Learning Plan was created by Taylor Shepard in collaboration with Andrew Easton as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for 9-12 Personal Finance students. Students will understand how to use discounts and taxes in comparison shopping. This Remote Learning Plan addresses the following NDE Standard: BMM.HS.5.12.c. It is expected that this Remote Learning Plan will take students 65 minutes to complete. Here is the direct link to the Google Doc:https://docs.google.com/presentation/d/1szHSsaKuPdnaDROGQPNUvpkTNek5t4tGq1rEdobP3cQ/edit?usp=sharing

Subject:
Business and Communication
Material Type:
Lesson Plan
Teaching/Learning Strategy
Author:
Taylor Shepard
Date Added:
07/30/2020
Retirement Account Basics: Why You’re Never Too Young to Start Thinking About Retirement
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Educational Use
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In this February 2024 Issue of Page One Economics: Focus on Finance, we’ll explore the most common retirement savings plans and other things to consider as you begin thinking about retirement. We will compare employer-based defined-benefit and defined-contribution plans, as well as options available to individuals. Understanding the basics of retirement savings accounts can help you feel empowered to start making decisions today for your retirement!

Subject:
Business and Communication
Economics
Finance
Social Science
Material Type:
Lesson
Reading
Provider:
Federal Reserve Bank of St. Louis
Provider Set:
Page One Economics
Author:
Amanda Geiger
Date Added:
02/01/2024
Rising Gas Prices Đ Compounding and Inflation
Unrestricted Use
CC BY
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The purpose of this task is to give students an opportunity to explore various aspects of exponential models (e.g., distinguishing between constant absolute growth and constant relative growth, solving equations using logarithms, applying compound interest formulas) in the context of a real world problem with ties to developing financial literacy skills.

Subject:
Functions
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
02/13/2013
Rockets
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Educational Use
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Students learn how and why engineers design satellites to benefit life on Earth, as well as explore motion, rockets and rocket motion. Through six lessons and 10 associated hands-on activities, students discover that the motion of all objects everything from the flight of a rocket to the movement of a canoe is governed by Newton's three laws of motion. This unit introduces students to the challenges of getting into space for the purpose of exploration. The ideas of thrust, weight and control are explored, helping students to fully understand what goes into the design of rockets and the value of understanding these scientific concepts. After learning how and why the experts make specific engineering choices, students also learn about the iterative engineering design process as they design and construct their own model rockets. Then students explore triangulation, a concept that is fundamental to the navigation of satellites and global positioning systems designed by engineers; by investigating these technologies, they learn how people can determine their positions and the locations of others.

Subject:
Applied Science
Astronomy
Engineering
Physical Science
Material Type:
Full Course
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Date Added:
10/14/2015
Room for Rivers: Perspectives on River Basin Management
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Learn from the experience of the Netherlands-based “Room for the River” program devising sustainable river and delta solutions in times of climate change.

With a long history of disasters and years of dealing with the challenges posed by water, the Netherlands has accumulated essential knowledge about water management and specifically of rivers. This course will share with you this knowledge gleaned over more than a decade under the Dutch government’s “Room for the River” program, started in 2007. The goal of this program was to manage higher water levels in rivers, while restoring the river’s natural flood plain in places where it is least harmful in order to protect those areas that need protection. All this in the context of the changing characteristics of rivers in times of climate change.

While the practical experience gained from this program is derived from cases in the Netherlands, it also applies to other countries that build their social, ecological and economic prosperity on what rivers bring them. It will be most beneficial for water managers, river engineers, landscape designers and policy makers who seek more knowledge surrounding analysis, design and development of river and delta solutions.

The specific skills gained in this course are in the design of engineering interventions; stakeholder analysis and balancing economic benefits with safe living conditions, ecological quality and attractive landscapes. You will also understand the impact of climate change and will be introduced to approaches to deal with the long-term dynamics and uncertainties that rivers bring.

We offer you the opportunity to learn from our experiences and apply it on your own river and we also aim to learn from you. The course is structured as an exchange, with a strong focus on analysis and design.

Subject:
Physical Geography
Physical Science
Material Type:
Full Course
Provider:
Delft University of Technology
Provider Set:
Delft University OpenCourseWare
Author:
Dirk Sijmons
Ellen Minkman
Floortje d'Hont
Frans Klijn
Martine Rutten
Date Added:
02/08/2024
STAR: Software Tools for Academics and Researchers
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CC BY-NC-SA
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The Software Tools for Academics and Researchers (STAR) program at MIT seeks to bridge the divide between scientific research and the classroom. Understanding and applying research methods in the classroom setting can be challenging due to time constraints and the need for advanced equipment and facilities. The multidisciplinary STAR team collaborates with faculty from MIT and other educational institutions to design software exploring core scientific research concepts. The goal of STAR is to develop innovative and intuitive teaching tools for classroom use.
All of the STAR educational tools are freely available. To complement the educational software, the STAR website contains curriculum components/modules which can facilitate the use of STAR educational tools in a variety of educational settings. Students, teachers, and professors should feel welcome to download software and curriculum modules for their own use.
Online Publication

Subject:
Applied Science
Biology
Computer Science
Education
Educational Technology
Engineering
Environmental Science
Genetics
Hydrology
Life Science
Physical Science
Physics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
None, MIT Office of Educational Innovation and Technology
Date Added:
02/01/2012