Welcome to the Mathematics OER Smart Library! Our library offers a diverse range of materials—including videos, infographics, games, presentations, animations, and more—covering topics such as algebra, calculus, geometry, statistics, and probability. These resources are available in seven languages: English, Estonian, German, Portuguese, Romanian, Catalan, and Spanish. Additionally, our library includes materials accessible to visually impaired and color-blind individuals. These resources are designed to support educators, students, and researchers in secondary, vocational, and higher education institutions.
Random OERs:
Total number of OERs published so far:
3520To explore and utilize these materials, navigate through our categorized sections or use the search function to find specific OERs of interest.
Elementary row or column operations
Authors
Educational level
Secondary School, Higher Education
Level
easy
Description
Elementary operations on the rows or columns of a matrix are defined, and their usefulness as tools for some usual calculations in linear algebra is outlined; elementary matrices are also introduced and seen to be invertible. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Matrix, Linear Algebra, Echelon form
Tags
UPC, Gate2Math
File
UPC-015-TUT-EN.pptx
Orthogonal projection
Authors
Educational level
Secondary School, Higher Education
Level
medium
Description
The concept of orthogonal projection of a vector onto a subspace is given, in the context of a finite dimensional real euclidean space. Some related concepts are interpreted and a method for calculating such a projection is given, which is also presented in compact form in terms of matrices. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra
Keywords
Inner product, Euclidean space, Linear Algebra
Tags
UPC, Gate2Math
File
UPC-016-TUT-EN.pptx
Least squares approximation
Authors
Educational level
Higher Education
Level
medium
Description
Least squares method for the adjustment or approximation of a collection of points in the plane is presented, explaining how to proceed to find the values of the parameters that best fit that collection of points. Special interest is shown in polynomial approximation, and, as a particular case, in linear regression. With examples and a quick test (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Numerical methods
Keywords
Approximation, Linear regression, Linear Algebra
Tags
UPC, Gate2Math
File
UPC-017-TUT-EN.pptx
Simplification of formulae in a propositional calculus
Authors
Educational level
Higher Education
Level
easy
Description
Lihtsustada antud lausearvutusvalemid, vastus kirjutada tekstina
Licence
CC-BY
Type
Exercices
Category
Logic – Propositional logic
Keywords
Lausearvutus, loogika, LAV, lihtsustamine
Tags
Gate2Math, TLU
File
TLU-010-EXE-ET.h5p
Introducere in matrici
Authors
Educational level
Higher Education
Level
medium
Description
În această lecție veți învăța:
ce este o matrice,
cum se notează și
cum aflăm dimensiunea sau tipul unei matrice.
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
matrices, SCORM, lecture, Romanian
Tags
UTCN, matrices, SCORM, lecture, Romanian
File
ENG-001-SCM-RO-2.zip
Tipuri de matrici – Fundamente teoretice
Authors
Educational level
Higher Education
Level
medium
Description
Această lecție 2 va explica modul de clasificare a matricelor în funcție de mărimea lor.
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
matrices, SCORM, lecture, Romanian
Tags
UTCN, matrices, SCORM, lecture, Romanian
File
ENG-002-SCM-RO.zip
Numele matricilor în funcție de elemente
Authors
Educational level
Higher Education
Level
medium
Description
În această lecție veți învăța despre:
Matrici pătratice
Matrici triunghiulare
Matrici diagonală
Matrici identitate
Matrici scalare
Matrici nule
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
matrices, SCORM, lecture, Romanian
Tags
UTCN, matrices, SCORM, lecture, Romanian
File
ENG-003-SCM-RO.zip
Adunarea matricilor – Fundamente teoretice
Authors
Educational level
Higher Education
Level
medium
Description
Această lecție 4 va explica cum se realizează adunarea și scăderea cu matrici.
De asemenea, veți:
învăța cum să determinați dacă matricile sunt egale;
arunca o privire la proprietățile adunării matricilor.
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
matrices, SCORM, lecture, Romanian
Tags
UTCN, matrices, SCORM, lecture, Romanian
File
ENG-004-SCM-RO.zip
Operații cu matrici – înmulțirea cu un scalar
Authors
Educational level
Higher Education
Level
medium
Description
Această lecție 5 va explica cum să înmulțiți o matrice cu un scalar, că această operație este foarte asemănătoare cu operațiunile bine-cunoscute din algebra convențională.
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
matrices, SCORM, lecture, Romanian
Tags
UTCN, matrices, SCORM, lecture, Romanian
File
ENG-005-SCM-RO.zip
Înmulțirea cu un scalar – Fundamente teoretice
Authors
Educational level
Higher Education
Level
medium
Description
Această lecție 6 va explica modul de evaluare a celor mai importante operațiuni efectuate cu matrice, și anume produsul a două matrice.
De asemenea, veți:
învăța cum să identificați dacă produsul a două matrice este posibil;
aruncați o privire asupra proprietăților multiplicării matricei.
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
matrices, SCORM, lecture, Romanian
Tags
UTCN, matrices, SCORM, lecture, Romanian
File
ENG-006-SCM-RO.zip
