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Basic Vector Space Methods in Signal and Systems Theory
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Linear algebra, vector space methods, and functional analysis are a powerful setting for many topics in engineering, science (including social sciences), and business. This collection starts with the simple idea of a matrix times a vector and develops tools and interpretations for many signal processing and system analysis and design methods.

Subject:
Business and Communication
Material Type:
Full Course
Reading
Provider:
Rice University
Provider Set:
Connexions
Author:
C. Sidney Burrus
Date Added:
02/16/2011
Battle of the Beams
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Students explore the properties of composites using inexpensive materials and processing techniques. They create beams using Laffy Taffy and water, and a choice of various reinforcements (pasta, rice, candies) and fabricating temperatures. Student groups compete for the highest strength beam. They measure flexure strength with three-point bend tests and calculations. Results are compared and discussed to learn how different materials and reinforcement shapes affect material properties and performance.

Subject:
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Marc Bird
Date Added:
09/18/2014
Biology
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No Strings Attached
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Biology is designed for multi-semester biology courses for science majors. It is grounded on an evolutionary basis and includes exciting features that highlight careers in the biological sciences and everyday applications of the concepts at hand. To meet the needs of today’s instructors and students, some content has been strategically condensed while maintaining the overall scope and coverage of traditional texts for this course. Instructors can customize the book, adapting it to the approach that works best in their classroom. Biology also includes an innovative art program that incorporates critical thinking and clicker questions to help students understand—and apply—key concepts.

Subject:
Life Science
Biology
Material Type:
Full Course
Provider:
Rice University
Provider Set:
OpenStax College
Date Added:
08/22/2012
Biology, Animal Structure and Function, The Animal Body: Basic Form and Function, Animal Primary Tissues
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By the end of this section, you will be able to:Describe epithelial tissuesDiscuss the different types of connective tissues in animalsDescribe three types of muscle tissuesDescribe nervous tissue

Subject:
Applied Science
Life Science
Biology
Material Type:
Module
Provider:
Rice University
Provider Set:
OpenStax College
Building a Stronger (Sweeter) New Orleans
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Students create and analyze composite materials with the intent of using the materials to construct a structure with optimal strength and minimal density. The composite materials are made of puffed rice cereal, marshmallows and chocolate chips. Student teams vary the concentrations of the three components to create their composite materials. They determine the material density and test its compressive strength by placing weights on it and measuring how much the material compresses. Students graph stress vs. strain and determine Young's modulus to analyze the strength of their materials.

Subject:
Architecture and Design
Engineering
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Charisse Nelson
Sarah Wigodsky
Date Added:
10/14/2015
Calculus Revisited, Fall 2010
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Calculus Revisited is a series of videos and related resources that covers the materials normally found in a freshman-level introductory calculus course.  The series was first released in 1970 as a way for people to review the essentials of calculus.  It is equally valuable for students who are learning calculus for the first time.

Subject:
Calculus
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Gross, Herbert
Date Added:
11/18/2012
Cell Biology, Spring 2007
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Biology of cells of higher organisms: structure, function, and biosynthesis of cellular membranes and organelles; cell growth and oncogenic transformation; transport, receptors and cell signaling; the cytoskeleton, the extracellular matrix, and cell movements; chromatin structure and RNA synthesis.

Subject:
Biology
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Orr-Weaver, Terry
Date Added:
01/01/2007
A First Course in Linear Algebra: Study Guide for the Undergraduate Linear Algebra Course
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In this book, there are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at “Answers to Odd-Numbered Exercises” section at the end of this book. This book is very useful for college students who studied Calculus I, and other students who want to review some linear algebra concepts before studying a second course in linear algebra. This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Mohammed Kaabar Website
Author:
Mohammed K A Kaabar
Date Added:
06/15/2015
Integrating Information Technology to study Mathematics
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This course is is a collection of resources on OER Commons curated for Adult Education instructors and students to show the integration of math into the Information Technology Career Sector. Students will analyze and practice specific skills related to being in IT as well as develop math skills. Modules in this curriculum guide can be studied in any particular order as one does not necessarily build upon the other. Each includes the idea of building mathematical and logic skills required for programming and other IT related careers.

Subject:
Career and Technical Education
Mathematics
Material Type:
Teaching/Learning Strategy
Unit of Study
Author:
Lyn Michaud Smith
Date Added:
05/30/2018
Linear Algebra: Matrices: Reduced Row Echelon Form 3
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This 12-minute video lesson provides another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form. [Linear Algebra playlist: Lesson 32 of 143]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra for Signals and Systems: A Matrix times a Vector
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Overview of the use of a matrix times a vector for the description of signal and systems operations. The vectors are descriptions of the signals and the matrix operator is a description of the system.

Subject:
Business and Communication
Algebra
Material Type:
Reading
Provider:
Rice University
Provider Set:
Connexions
Author:
C. Sidney Burrus
Date Added:
02/16/2011
Managing Global Integration, Spring 2012
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This course on global integration brings together matters of global markets and institutions, global strategy, organization, and leadership. Global integration, the process by which an organization with units around the world becomes united, will be presented as a link to entrepreneurship and general management. The seminar is offered only to those enrolled in the MIT Sloan Fellows Program and challenges the participants to draw upon their past managerial experiences, especially those affiliated with multinational companies.

Subject:
Business and Communication
Management
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Jos_ Santos
Date Added:
01/01/2012
Mathematics for Materials Scientists and Engineers, Fall 2005
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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
Material Type:
Full Course
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Carter, W. Craig
Date Added:
01/01/2005