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Teste de evaluare pentru Lectia 26: Rezolvarea SLE folosind metoda de eliminare Gauss AQ 26.2 (mediu)
Authors
Educational level
Higher Education
Level
medium
Description
Teste de evaluare pentru Lectia 26: Rezolvarea SLE folosind metoda de eliminare Gauss AQ 26.2 (mediu)
Licence
CC-BY
Type
Quiz/Knowledge Control
Category
Linear algebra – Matrix calculus
Keywords
matrices, XML, tests, Romanian
Tags
EngiMath, matrices, XML, Moodle, Romanian
File
ENG-362-XML-RO.zip
Teste de evaluare pentru Lectia 26: Rezolvarea SLE folosind metoda de eliminare Gauss AQ 26.3 (dificil)
Authors
Educational level
Higher Education
Level
medium
Description
Teste de evaluare pentru Lectia 26: Rezolvarea SLE folosind metoda de eliminare Gauss AQ 26.3 (dificil)
Licence
CC-BY
Type
Quiz/Knowledge Control
Category
Linear algebra – Matrix calculus
Keywords
matrices, XML, tests, Romanian
Tags
EngiMath, matrices, XML, Moodle, Romanian
File
ENG-363-XML-RO.zip
16.01 Write Smallest M_{ij} of element a_{ij} 2×2 (10)
Authors
Educational level
Higher Education
Level
medium
Description
Group of Questions for Moodle on Matrices – Introduction, XML format
– ALL questions have feedback with STEP-by-STEP resolution. Note: It requires a Moodle platform to be inserted into the question bank and, eventually, a specific plugin/software may be necessary for its operation.
Licence
CC-BY
Type
Quiz/Knowledge Control
Category
Linear algebra – Matrix calculus
Keywords
Determinant, Minor Complementary
Tags
EngiMath, Gate2Math
File
ENG-203-XML-EN.zip
16.02 Write Smallest M_{ij} of element a_{ij} 3×3 (10)
Authors
Educational level
Higher Education
Level
medium
Description
Group of Questions for Moodle on Matrices – Introduction, XML format
– ALL questions have feedback with STEP-by-STEP resolution. Note: It requires a Moodle platform to be inserted into the question bank and, eventually, a specific plugin/software may be necessary for its operation.
Licence
CC-BY
Type
Quiz/Knowledge Control
Category
Linear algebra – Matrix calculus
Keywords
Determinant, Minor Complementary
Tags
EngiMath, Gate2Math
File
ENG-204-XML-EN.zip
16.03 Calculate smallest M_{ij}, 3×3 (step-by-step) (10)
Authors
Educational level
Higher Education
Level
medium
Description
Group of Questions for Moodle on Matrices – Introduction, XML format
– ALL questions have feedback with STEP-by-STEP resolution. Note: It requires a Moodle platform to be inserted into the question bank and, eventually, a specific plugin/software may be necessary for its operation.
Licence
CC-BY
Type
Quiz/Knowledge Control
Category
Linear algebra – Matrix calculus
Keywords
Determinant, Minor Complementary
Tags
EngiMath, Gate2Math
File
ENG-205-XML-EN-1.zip
Curves adjustments
Authors
Educational level
Higher Education
Level
medium
Description
MATLAB code created to calculate distinct adjustments of a set of points in the plane by means of a function. The adjusting functions considered in the code are polynomials, exponential function and/or potential function. The code permits up to three adjustments at the same time, giving in each case the squared error. A suggested exercise is also proposed.
Licence
CC-BY
Type
Scripts
Category
Numerical methods
Keywords
Approximation, Least squares, Mean squared error
Tags
UPC, Gate2Math
File
UPC-019-SCR-EN.zip
Tangent plane approximation
Authors
Educational level
Higher Education
Level
medium
Description
GeoGebra file designed to visualise and work with the concept of tangent plane in a given point for a (differentiable) real function of two real variables. The user must entry the function, the selected point, and also a close second point for which the approximate value of the function (using the tangent plane) is given. An activity file is also included. Available at https://www.geogebra.org/m/ypzfudjz
Licence
CC-BY
Type
Applets
Category
Multivariable calculus – Tangent plane. Normal vector
Keywords
Approximation, Tangent plane, Gradient
Tags
UPC, Gate2Math
File
UPC-020-APL-EN.zip
Gaussian elimination
Authors
Educational level
Higher Education
Level
medium
Description
The concepts of matrix in row echelon form and of elementary row operation are first recalled, presenting next Gauss elimination method (in terms of the rows of a matrix), for which an algorithm is proposed. An example is used to give an idea of the utilities of Gauss elimination method, and the way all this could be written in terms of the columns of a matrix is discussed. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Elementary operation, Matrix in echelon form, Rank of a matrix
Tags
UPC, Gate2Math
File
UPC-021-TUT-EN.pptx
Applications of Gaussian elimination (Part 1)
Authors
Educational level
Higher Education
Level
medium
Description
After recalling the concepts of matrix in echelon form and of elementary operation (for either rows or columns), three basic utilities derived from Gaussian elimination are presented, pointing out in each case if the permitted elementary operations only act on the rows or only act on the columns, or can act on both rows and columns at the same time. These utilities are: rank of a matrix; determinant of a square matrix; basis and implicit equations of a subspace of a finite dimensional real or complex vector space. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Elementary operation, Matrix in echelon form, Rank of a matrix, Determinant of a matrix
Tags
UPC, Gate2Math
File
UPC-022-TUT-EN.pptx
Applications of Gaussian elimination (Part 2)
Authors
Educational level
Higher Education
Level
medium
Description
After recalling the concepts of matrix in echelon form and of elementary operation (for either rows or columns), two basic utilities derived from Gaussian elimination are presented, pointing out in each case if the permitted elementary operations only act on the rows or only act on the columns, or can act on both rows and columns at the same time. These utilities are: invertibility of a square matrix and inverse matrix in the invertible case; systems of linear equations. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Elementary operation, Matrix in echelon form, Rank of a matrix, Inverse matrix, Augmented matrix
Tags
UPC, Gate2Math
File
UPC-023-TUT-EN.pptx
