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.
Equal Complex Numbers
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This OER explains the conditions under which two complex numbers are equal. It includes examples and interactive exercises to help students identify these conditions.
Licence
CC-BY
Type
Image
Category
High-school fundamentals – Complex numbers
Keywords
Complex Number, Equal Complex Numbers
Tags
Gate2Math, TTK
File
TTK-005-IMG-EN.h5p
The Opposite of a Complex Number
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This OER introduces the concept of the opposite of complex numbers, explaining that the opposite of any complex number. It includes examples and interactive exercises for students to practice finding opposites of various complex numbers.
Licence
CC-BY
Type
Image
Category
High-school fundamentals – Complex numbers
Keywords
Complex Number, Opposite Complex Numbers
Tags
Gate2Math, TTK
File
TTK-006-IMG-EN.h5p
The Complex Conjugate
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This resource provides a clear explanation of complex conjugates, supplemented with examples and interactive exercises to reinforce understanding. Designed to support self-paced learning, it guides students through essential concepts and helps them practice applications of complex conjugates effectively.
Licence
CC-BY
Type
Image
Category
High-school fundamentals – Complex numbers
Keywords
Complex Conjugate
Tags
Gate2Math, TTK
File
TTK-007-IMG-EN.h5p
Complex Numbers on Axes
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This set of flashcards presents complex numbers plotted on the real and imaginary axes, challenging students to identify and write each number in its algebraic form. By practicing this skill, learners enhance their understanding of complex number representation and coordinate-based interpretation.
Licence
CC-BY
Type
Game/Online Exercise
Category
High-school fundamentals
Keywords
Flash Cards, Complex Plane
Tags
Gate2Math, TTK
File
TTK-016-GAM-EN.h5p
Complex Numbers Off-Axes
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This flashcard set features complex numbers plotted off the axes on the complex plane, encouraging students to determine and write each point in its algebraic form. This exercise helps learners deepen their understanding of complex numbers in various positions, reinforcing skills in interpreting both real and imaginary components.
Licence
CC-BY
Type
Game/Online Exercise
Category
High-school fundamentals – Complex numbers
Keywords
Flash Cards, Complex Plane
Tags
Gate2Math, TTK
File
TTK-017-GAM-EN.h5p
Sum and intersection of subspaces
Authors
Educational level
Higher Education
Level
medium
Description
Matrix procedure that allows to obtain simultaneously both basis of the intersection and basis of the sum of two subspaces of a finite dimensional linear space; with examples and a quick test (editable pptx)
Licence
CC-BY
Type
Tutorial
Category
Linear algebra
Keywords
Matrix, Linear Algebra, Subspace
Tags
UPC, Gate2Math
File
UPC-001-TUT-EN.pptx
Matrices in row echelon form
Authors
Educational level
Secondary School, Higher Education
Level
easy
Description
Matrices in row echelon form and in reduced row echelon form are defined; with examples and a quick test (editable pptx)
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Matrix, Linear Algebra
Tags
UPC, Gate2Math
File
UPC-002-TUT-EN.pptx
Hall’s theorem (graph approach)
Authors
Educational level
Higher Education
Level
medium
Description
Explanation of Hall’s theorem using bipartite graphs; with examples and questions to be answered online (editable pptx)
Licence
CC-BY
Type
Tutorial
Category
Discrete mathematics – Graph theory
Keywords
Graph, Bipartite
Tags
UPC, Gate2Math
File
UPC-003-TUT-EN.pptx
Hall’s theorem (combinatorial approach)
Authors
Educational level
Higher Education
Level
medium
Description
Explanation of Hall’s theorem for deciding whether there exists or not a transversal of a finite collection of finite intersecting sets; with examples and questions to be answered online (editable pptx)
Licence
CC-BY
Type
Tutorial
Category
Discrete mathematics – Combinatorics
Keywords
Intersection, Transversal
Tags
UPC, Gate2Math
File
UPC-004-TUT-EN.pptx
Combinatorial numbers
Authors
Educational level
Secondary School
Level
medium
Description
Description of basic facts on combinatorial numbers and well-known related topics (Pascal’s triangle, combinatorial interpretation of combinatorial numbers); with examples (editable pptx)
Licence
CC-BY
Type
Tutorial
Category
Discrete mathematics – Combinatorics
Keywords
Combinatorial number, Factorial
Tags
UPC, Gate2Math
File
UPC-005-TUT-EN.pptx
