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-1-1A First Course in Linear Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=297792
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form.<br><br>
PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com. <br><br>
GNU Free Documentation LicenseThu, 13 Mar 2008 19:39:13 GMTRobert Beezer University of Pugent SoundElements of Abstract and Linear Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=89025
A foundational textbook on abstract algebra with emphasis on linear algebra.Mon, 14 May 2001 07:00:00 GMTE. H. Connell Department of Mathematics, University of MiamiA First Course in Linear Algebra
https://www.merlot.org/merlot/viewMaterial.htm?id=76448
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">This text, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course in linear algebra for science and engineering students who have an understanding of basic algebra.</span></span></p>
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">All major topics of linear algebra are available in detail, as well as proofs of important theorems. In addition, connections to topics covered in advanced courses are introduced. The text is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile.</span></span></p>
<p style="margin-top: 0.49cm; margin-bottom: 0.49cm; line-height: 100%;"><span style="color: #00000a;"><span style="font-family: 'arial' , serif;">Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the text.</span></span></p>
<p style="margin-bottom: 0cm; line-height: 100%;"><span style="color: #00000a;">Lyryx develops and supports open texts, with editorial services to adapt the text for each particular course. In addition, Lyryx provides</span><span style="color: #00000a;">content-specific formative online assessment, a wide variety of supplements, and in-house support available 7 days/week for both students and instructors.</span></p>Thu, 07 Mar 2002 08:00:00 GMTK. Kuttler, Adapted by Lyryx Learning Lyryx LearningCOW -- Calculus on the Web
https://www.merlot.org/merlot/viewMaterial.htm?id=83836
<p>This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered.</p>Tue, 17 May 2005 07:00:00 GMTGerardo Mendoza; Dan Reich Temple University; Temple UniversityEigenExplorer
https://www.merlot.org/merlot/viewMaterial.htm?id=91056
<p>EigenExplorer is a Java applet designed to explore the the relationships between a matrix A, a vector x, and the matrix-vector product Ax.</p>Sat, 29 Jul 2000 07:00:00 GMTJonathon SenningLinear Algebra Toolkit
https://www.merlot.org/merlot/viewMaterial.htm?id=1254614
<p>This Linear Algebra Toolkit is consist of several modules in linear algebra. Each module is designed to help a linear algebra student learn and practice a basic linear algebra procedure, such as Gauss-Jordan reduction, calculating the determinant, or checking for linear independence.</p>Fri, 02 Dec 2016 14:11:47 GMTPrzemyslaw Bogacki Old Dominion UniversityLinear algebra via exterior products
https://www.merlot.org/merlot/viewMaterial.htm?id=447307
<p>This is a free, online textbook. According to Textbook Revolution, "Really explains abstract vectors, tensors, exterior products, determinants, Pfaffians, and more - linear algebra without cumbersome matrix calculations. Suitable as a second course of intermediate to advanced linear algebra. Exercises and example calculations provided."</p>Mon, 26 Apr 2010 21:18:30 GMTSergei Winitzki University of MuenchenMath and Geometry Worksheets
https://www.merlot.org/merlot/viewMaterial.htm?id=584434
<p>This is a great site for finding worksheets related to lessons in algebra and geometry. There are also math related puzzles available to use.</p>Fri, 23 Sep 2011 07:40:33 GMTJason BattersonMIT OpenCourseWare: Linear Algebra Video Lectures
https://www.merlot.org/merlot/viewMaterial.htm?id=84286
This site provides a series of Professor Strang's Class Linear Algebra Lecture Videos.Sat, 16 Jul 2005 07:00:00 GMTGilbert Strang Massachusetts Institute of TechnologyNet Force
https://www.merlot.org/merlot/viewMaterial.htm?id=89263
<p>Three vectors (forces) can be independently manipulated, with the net force being computed for each configuration.</p>Sun, 06 May 2001 07:00:00 GMTJohn Brecht Center for Technology in Learning, SRI InternationalTechnology Across the Curriculum
https://www.merlot.org/merlot/viewMaterial.htm?id=83979
<p>A database containing over 150 projects describing assignments developed to help students improve information technology proficiency as well as learn the subject matter. Assignments are grouped by year, department or by IT goal or may be searched independently on various fields.</p>Mon, 20 Jun 2005 07:00:00 GMTBeth Secrist George Mason UniversityTutorial:Matrix Multiplication
https://www.merlot.org/merlot/viewMaterial.htm?id=85718
This section of a broader work, gives students a series of tutorial exercises in matrix multiplication. Topics include matrix multiplication, vector multiplication, and the identity matrix. This page presents students with question that the enter answers to. Students are given feedback based on there entry.Sat, 28 Jan 2006 08:00:00 GMTStefan Waner; Steven R. Costenoble Hofstra University; Hofstra University18.024 Multivariable Calculus with Theory (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884553
This course is a continuation of 18.014. It covers the same material as 18.02 (Multivariable Calculus), but at a deeper level, emphasizing careful reasoning and understanding of proofs. There is considerable emphasis on linear algebra and vector integral calculus.Thu, 07 Aug 2014 00:14:30 GMTChristine BreinerVector Addition (Physics, Math)
https://www.merlot.org/merlot/viewMaterial.htm?id=74584
<p>Graphically adds any two vectors to get a third.</p>Wed, 09 Jul 1997 07:00:00 GMTFu-Kwun HwangConnected Curriculum Project - Materials for Precalculus
https://www.merlot.org/merlot/viewMaterial.htm?id=84777
The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmental science.Sun, 25 Sep 2005 07:00:00 GMTDavid Smith; Lawrence Moore Duke University; Duke UniversityGaussian Elimination
https://www.merlot.org/merlot/viewMaterial.htm?id=914328
<p>Gauss elimination is a method of solving a system of linear equations. This site contains an interactive tool that performs Gauss elimination procedure one step at a time. The result is displayed after each step. A user can also use this tool to invert a matrix.</p>
<p> </p>Thu, 04 Dec 2014 18:21:05 GMTLawrence Turner Southwestern Adventist UniversityMatrix calculator
https://www.merlot.org/merlot/viewMaterial.htm?id=291565
Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press of a button compute a power of this matrix, determinant, inverse, characteristic polynomials and other useful matrix characteristics.Tue, 29 Jan 2008 16:44:34 GMTGang XiaoMatrix Multiplication
https://www.merlot.org/merlot/viewMaterial.htm?id=821148
<p>The <em>Matrix Multiplication</em> simulation aims to help students learn how to multiply two matrices and what conditions need to be fulfilled for the product of two matrices to exist. Students can choose different dimensions for matrices A and B, and the product C=AB is displayed if it exists. Student can select an element of the matrix C to see how it is calculated. An accompanying activity for this simulation is available at <a href="http://quantumphysics.iop.org">http://quantumphysics.iop.org</a> and <a href="http://www.st-andrews.ac.uk/physics/quvis">www.st-andrews.ac.uk/physics/quvis</a>. The simulation can be downloaded from the QuVis website <a href="http://www.st-andrews.ac.uk/physics/quvis">www.st-andrews.ac.uk/physics/quvis</a>.</p><p class="Paragraph">This simulation is part of the UK Institute of Physics New Quantum Curriculum, see <a href="http://quantumphysics.iop.org">http://quantumphysics.iop.org</a>. Simulations and accompanying activities can be accessed from the IOP site and from www.st-andrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BY-NC-ND licence. Instructors can email <a href="mailto:quantumphysics@iop.org">quantumphysics@iop.org</a> for activity solutions and to request to modify materials.</p>Fri, 20 Dec 2013 15:10:54 GMTAntje KohnleMatrix Multiplier
https://www.merlot.org/merlot/viewMaterial.htm?id=291570
<p>This site contains a tool that allows a user to rapidly compute the product (or other formula) of two matrices.</p>Tue, 29 Jan 2008 16:51:46 GMTGang XiaoAdding apples oranges and pears
https://www.merlot.org/merlot/viewMaterial.htm?id=688991
<p>To calculate the value of apple, orange, pear from 3 purchases.</p><p>About mental arithmetic, with a pre-algebra tool introducing the Gaussian elimination.</p>Fri, 31 Aug 2012 17:00:08 GMTMaurici CarbóB. Pohlmann -Math 250: Introduction to Linear Algebra - Faculty Showcase at Cal Maritime Academy
https://www.merlot.org/merlot/viewMaterial.htm?id=1357384
<p>This open textbook is being utilized in a Mathematics course for undergraduate students by Brent Pohlmann, Ph.D., at CSU Maritime Academy. The open textbook provides Latex source files as well as links to other materials. The main motivation to adopt an open textbook was cost savings for students. Most students access the open textbook in PDF form.</p>Tue, 09 Jan 2018 00:13:57 GMTCalifornia Open Online Library (COOLforEd) COOLforEdGraphical representation of complex eigenvectors
https://www.merlot.org/merlot/viewMaterial.htm?id=821153
<p>The <em>Graphical representation of complex eigenvectors</em> simulation aims to help students make connections between graphical and mathematical representations of complex eigenvectors and eigenvalues. The simulation depicts two components of a complex vector in the complex plane, and the same vector under several transformations that can be chosen by the user. A slider allows students to change the second component of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking the student to find the elements of one of the transformation matrices. An accompanying activity for this simulation is available at <a href="http://quantumphysics.iop.org" target="_blank">http://quantumphysics.iop.org</a> and at www.st-andrews.ac.uk/physics/quvis. The simulation can be downloaded from the QuVis website <a href="http://www.st-andrews.ac.uk/physics/quvis">www.st-andrews.ac.uk/physics/quvis</a>.</p><p class="Paragraph">This simulation is part of the UK Institute of Physics New Quantum Curriculum, see <a href="http://quantumphysics.iop.org">http://quantumphysics.iop.org</a>. Simulations and accompanying activities can be accessed from the IOP site and from www.st-andrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BY-NC-ND licence. Instructors can email <a href="mailto:quantumphysics@iop.org">quantumphysics@iop.org</a> for activity solutions and to request to modify materials.</p>Fri, 20 Dec 2013 15:19:01 GMTAntje KohnleGraphical representation of eigenvectors
https://www.merlot.org/merlot/viewMaterial.htm?id=821150
<p>The <em>Graphical representation of eigenvectors</em> simulation aims to help students make connections between graphical and mathematical representations of eigenvectors and eigenvalues. The simulation depicts the two components of a unit vector in the xy-plane, and the same vector under several different transformations that can be chosen by the user. A slider allows students to change the orientation of the initial vector. The simulation shows whether or not the vector is an eigenvector, and if so displays the associated eigenvalue. The simulation includes a small challenge in asking students to find the elements of one of the transformation matrices 4. An accompanying activity for this simulation is available at <a href="http://quantumphysics.iop.org" target="_blank">http://quantumphysics.iop.org</a> and at www.st-andrews.ac.uk/physics/quvis. The simulation can be downloaded from the QuVis website <a href="http://www.st-andrews.ac.uk/physics/quvis">www.st-andrews.ac.uk/physics/quvis</a>.</p><p>This simulation is part of the UK Institute of Physics New Quantum Curriculum, see <a href="http://quantumphysics.iop.org">http://quantumphysics.iop.org</a>. Simulations and accompanying activities can be accessed from the IOP site and from www.st-andrews.ac.uk/physics/quvis. Sharing of these resources is encouraged, with all usage under the Creative Commons CC BY-NC-ND licence. Instructors can email <a href="mailto:quantumphysics@iop.org">quantumphysics@iop.org</a> for activity solutions and to request to modify materials.</p>Fri, 20 Dec 2013 15:14:16 GMTAntje KohnleGraphing Slope-Intercept Form Stand-Alone Instructional Resource
https://www.merlot.org/merlot/viewMaterial.htm?id=556428
<p>This stand-alone instructional resource allows students to explore how to graph the equation of a line written in slope-intercept form. Students will review concepts such as slope and intercepts before eventually learning how to recognize and graph slope-intercept form. In addition to student practice within the resource, this stand-alone instructional resource contains videos and links to websites where students can further practice graphing.</p>Fri, 10 Jun 2011 20:13:26 GMTDeborah Johnson