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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 GMTMendoza, Gerardo; Reich, Dan 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 and Steven R. Costenoble Hofstra UniversityVector 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, CCP Co-Directors 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 Xiao14.381 Statistical Method in Economics (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884666
This course is divided into Part I and Part II. The first part of the course provides an introduction to statistical theory. A brief review of probability will be given mainly as background material, however, it is assumed to be known. The second part of the course provides an introduction to regression analysis, focusing on specification (approximation) analysis and estimation and inference in large samples. Part II is not covered here, but you can see the material by looking at the previous version of 14.381.Thu, 07 Aug 2014 00:16:52 GMTProf. Anna Mikusheva18.024 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 Breiner18.02SC Multivariable Calculus (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884201
This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.Thu, 07 Aug 2014 00:07:15 GMTProf. Denis Auroux18.03SC Differential Equations (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=883936
The laws of nature are expressed as differential equations. Scientists and engineers must know how to model the world in terms of differential equations, and how to solve those equations and interpret the solutions. This course focuses on the equations and techniques most useful in science and engineering.Thu, 07 Aug 2014 00:01:54 GMTProf. Arthur Mattuck; Prof. Haynes Miller; Jeremy Orloff; Dr. John Lewis18.06 Linear Algebra (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=884239
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.Thu, 07 Aug 2014 00:07:56 GMTProf. Gilbert Strang18.06SC Linear Algebra (MIT)
https://www.merlot.org/merlot/viewMaterial.htm?id=883918
This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.Thu, 07 Aug 2014 00:01:26 GMTProf. Gilbert Strang