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Applied Mathematics Textbook
Unrestricted Use
CC BY
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This applied mathematics textbook covers Matrices and Pathways, Statistics and Probability, Finance, Cyclic, Recursive and Fractal Patterns, Vectors, and Design. The approach used is primarily data driven, using numerical and geometrical problem-solving techniques.

Subject:
Mathematics
Material Type:
Textbook
Provider:
Southern Alberta Institute of Technology
Author:
Ayopo Odunuga
Milad Sabeti
Yoni Porat
Date Added:
08/13/2020
Calculus Revisited, Fall 2010
Conditional Remix & Share Permitted
CC BY-NC-SA
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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
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Gross, Herbert
Date Added:
11/18/2012
College Algebra (MATH 1314) Lecture Notes
Conditional Remix & Share Permitted
CC BY-NC-SA
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This is a focused collection of notes for a course in college algebra taught at San Jacinto College (Houston, Texas). With only 157 pages, this course covers only the core concepts that every college algebra student should know. In addition to learning algebraic and computational skills, the course is designed for learning how to think mathematically. The chapters on mathematical language and problem-solving highlight this latter objective.

Subject:
Algebra
Functions
Mathematics
Material Type:
Full Course
Lecture Notes
Reading
Author:
Mark Moodie
Date Added:
12/12/2022
College Algebra - Matrices and Matrix Operations
Unrestricted Use
CC BY
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This resource includes PowerPoint, workbook pages, and supplemental videos associated to OpenStax College Algebra, Section 7.5 Matrices and Matrix Operations.  All materials are ADA accessible.  Funded by THECB OER Development and Implementation Grant (2021)

Subject:
Mathematics
Material Type:
Lesson
Author:
Rosa Gutierrez
Wei Yin
Date Added:
03/08/2022
Defined matrix operations
Conditional Remix & Share Permitted
CC BY-NC-SA
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Sal discusses the conditions of matrix dimensions for which addition or multiplication are defined. Created by Sal Khan.

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
08/13/2020
Introduction To MATLAB Programming, Fall 2011
Conditional Remix & Share Permitted
CC BY-NC-SA
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This course is intended to assist undergraduates with learning the basics of programming in general and programming MATLAB in particular.

Subject:
Computer Science
Functions
Information Science
Information Technology
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Yossi Farjoun
Date Added:
01/01/2011
Is matrix multiplication commutative?
Conditional Remix & Share Permitted
CC BY-NC-SA
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Sal checks whether the commutative property applies for matrix multiplication. In other words, he checks whether for any two matrices A and B, A*B=B*A (the answer is NO, by the way). Created by Sal Khan.

Subject:
Algebra
Mathematics
Material Type:
Lesson
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
08/13/2020
Linear Algebra - Communications Intensive, Spring 2004
Conditional Remix & Share Permitted
CC BY-NC-SA
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This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing.

Subject:
Algebra
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Lachowska, Anna (liakhovskaia)
Date Added:
01/01/2004
Linear Algebra: Example Using Orthogonal Change-of-basis Matrix to Find Transformation Matrix
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 27-minute video lesson provides an example using the orthogonal change-of-basis matrix to find the transformation matrix. [Linear Algebra playlist: Lesson 128 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Expressing a Projection on to a Line as a Matrix Vector Prod
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CC BY-NC-SA
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This 17-minute video lesson shows how to express a projection on to a line as a Matrix Vector prod. [Linear Algebra playlist: Lesson 61 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Introduction to the Null Space of a Matrix
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 12-minute video lesson provides an introduction to the null space of a matrix and shows that the null space of a matrix is a valid subspace. [Linear Algebra playlist: Lesson 34 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Matrices: Reduced Row Echelon Form 1
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 18-minute video lesson shows how to solve a system of linear equations by putting an augmented matrix into reduced row echelon form. [Linear Algebra playlist: Lesson 30 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Matrices: Reduced Row Echelon Form 3
Conditional Remix & Share Permitted
CC BY-NC-SA
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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
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra: Null Space 3: Relation to Linear Independence
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 12-minute video lesson discusses how to understand how the null space of a matrix relates to the linear independence of its column vectors. [Linear Algebra playlist: Lesson 36 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011
Linear Algebra:  Orthogonal Matrices Preserve Angles and Lengths
Conditional Remix & Share Permitted
CC BY-NC-SA
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This 11-minute video lesson shows that orthogonal matrices preserve angles and lengths. [Linear Algebra playlist: Lesson 129 of 143]

Subject:
Algebra
Mathematics
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011