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:

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Total number of OERs published so far:

3621

To explore and utilize these materials, navigate through our categorized sections or use the search function to find specific OERs of interest.

Title

Método de ortogonalización de Gram-Schmidt

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Se presenta el método de Gram-Schmidt para encontrar bases ortogonales de subespacios vectoriales de dimensión finita, en el entorno de un espacio euclídeo real o complejo. Se justifica teóricamente el método y se dan dos ejemplos que ilustran su funcionamiento (pptx editable).

Licence

CC-BY

Type

Tutorial

Category

Linear algebra – Euclidean/hermitic spaces

Keywords

Producto escalar, Proyección ortogonal, Base ortogonal

Tags

UPC, Gate2Math

File
UPC-022-TUT-ES.pptx

Details

Updated: August 17, 2025 at 7:33 am



Average rating

Title

Mètode d’ortogonalització de Gram-Schmidt

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Es presenta el mètode de Gram-Schmidt per a trobar bases ortogonals de subespais vectorials de dimensió finita, a l‘entorn d‘un espai euclidià real o complex. Es justifica teòricament el mètode i es donen dos exemples que ajuden a entendre el seu funcionament (pptx editable).

Licence

CC-BY

Type

Tutorial

Category

Linear algebra – Euclidean/hermitic spaces

Keywords

Producte escalar, Projecció ortogonal, Base ortogonal

Tags

UPC, Gate2Math

File
UPC-022-TUT-CA.pptx

Details

Updated: August 17, 2025 at 7:34 am



Average rating

Title

Càlcul en una variable: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinc preguntes (amb una sola resposta correcta cadascuna) sobre qüestions relatives al càlcul en una variable; inclou límits, continuïtat i derivabilitat.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

One variable calculus – Continuity

Keywords

Punt d‘acumulació, Límit, Continuïtat, Derivabilitat

Tags

UPC, Gate2Math

File
UPC-023-EXE-CA.zip

Details

Updated: August 17, 2025 at 7:34 am



Average rating

Title

Càlculo en una variable: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinco preguntas (con una sola respuesta correcta cada una) acerca de cuestiones relativas al cálculo en una variable, incluyendo límites, continuidad y derivabilidad.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

One variable calculus – Continuity

Keywords

Punto de acumulación, Límite, Continuidad, Derivabilidad

Tags

UPC, Gate2Math

File
UPC-023-EXE-ES.zip

Details

Updated: August 17, 2025 at 7:34 am



Average rating

Title

Matrices y sistemas de ecuaciones lineales: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinco preguntas (con una sola respuesta correcta cada una) sobre cuestiones relativas a matrices y sistemas de ecuaciones lineales.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

Linear algebra – Linear systems

Keywords

Rango de una matriz, Operación elemental, Matriz escalonada

Tags

UPC, Gate2Math

File
UPC-024-EXE-ES-1.zip

Details

Updated: August 17, 2025 at 7:34 am



Average rating

Title

Matrius i sistemes d’equacions lineals: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinc preguntes (amb una sola resposta correcta cadascuna) sobre qüestions relatives a matrius i sistemes d’equacions lineals.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

Linear algebra – Linear systems

Keywords

Rang d’una matriu, Operació elemental, Matriu esglaonada

Tags

UPC, Gate2Math

File
UPC-024-EXE-CA.zip

Details

Updated: August 17, 2025 at 7:34 am



Average rating

Title

Matrius i sistemes d’equacions lineals: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinc preguntes (amb una sola resposta correcta cadascuna) sobre qüestions relatives a matrius i sistemes d’equacions lineals.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

Linear algebra – Linear systems

Keywords

Rang d’una matriu, Operació elemental, Matriu esglaonada

Tags

UPC, Gate2Math

File
UPC-025-EXE-CA.zip

Details

Updated: August 17, 2025 at 7:34 am



Average rating

Title

Matrices y sistemas de ecuaciones lineales: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinco preguntas (con una sola respuesta correcta cada una) sobre cuestiones relativas a matrices y sistemas de ecuaciones lineales.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

Linear algebra – Linear systems

Keywords

Rango de una matriz, Operación elemental, Matriz escalonada

Tags

UPC, Gate2Math

File
UPC-025-EXE-ES.zip

Details

Updated: August 17, 2025 at 7:35 am



Average rating

Title

Matrices y sistemas de ecuaciones lineales: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinco preguntas (con una sola respuesta correcta cada una) sobre cuestiones relativas a matrices y sistemas de ecuaciones lineales.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

Linear algebra – Linear systems

Keywords

Rango de una matriz, Operación elemental, Matriz escalonada

Tags

UPC, Gate2Math

File
UPC-026-EXE-ES.zip

Details

Updated: August 17, 2025 at 7:35 am



Average rating

Title

Matrius i sistemes d’equacions lineals: Test

Authors

Xavier Marcote

Educational level

Secondary School, Higher Education

Level

medium

Description

Test de cinc preguntes (amb una sola resposta correcta cadascuna) sobre qüestions relatives a matrius i sistemes d’equacions lineals.

Licence

CC-BY

Type

Quiz/Knowledge Control

Category

Linear algebra – Linear systems

Keywords

Rang d’una matriu, Operació elemental, Matriu esglaonada

Tags

UPC, Gate2Math

File
UPC-026-EXE-CA.zip

Details

Updated: August 17, 2025 at 7:35 am



Average rating