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.
Assessment_CLASS 24: Systems of Linear Equations – Inverse Matrix Method
Authors
Educational level
Higher Education
Level
medium
Description
Three groups of questions for Moodle on systems of linear equation – Inverse Matrix. The questions are designed with three difficulty levels to facilitate assessment and do not include feedback.
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 – Linear systems
Keywords
Systems of Linear Equations, System Matrix, Inverse, Matrix Equation
Tags
EngiMath, Gate2Math
File
ENG-351-XML-EN.zip
Assessment_CLASS 25: Systems of Linear Equations – Cramer’s Rule
Authors
Educational level
Higher Education
Level
medium
Description
Three groups of questions for Moodle on systems of linear equation – Cramer’s Rule. The questions are designed with three difficulty levels to facilitate assessment and do not include feedback.
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 – Linear systems
Keywords
Main Determinant, Cramer, System Matrix
Tags
EngiMath, Gate2Math
File
ENG-352-XML-EN.zip
Assessment_CLASS 26: Solving Systems by Gaussian Elimination
Authors
Educational level
Higher Education
Level
medium
Description
Three groups of questions for Moodle on systems of linear equation – Gaussian Elimination. The questions are designed with three difficulty levels to facilitate assessment and do not include feedback.
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 – Linear systems
Keywords
System Matrix, Echelon Matrix, Indeterminate Systems, Gauss-Jordan
Tags
EngiMath, Gate2Math
File
ENG-353-XML-EN.zip
A Quadratic Equation with a Negative Discriminant
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This OER explains how to solve quadratic equations with a negative discriminant, leading to complex solutions. It includes interactive exercises such as identifying the nature of roots, solving quadratic equations step by step using the quadratic formula, and plotting complex solutions on a coordinate plane. These activities help students understand the concept and apply it to real-world contexts like electrical engineering and physics.
Licence
CC-BY
Type
Tutorial
Category
High-school fundamentals
Keywords
Complex Roots, Discriminant, Quadratic Equation
Tags
Gate2Math, TTK
File
TTK-008-TUT-EN.h5p
Multiplying a Complex Number in Algebraical Form by a Real Number
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This OER explains how to multiply a complex number in algebraic form by a real number, demonstrating how both the real and imaginary parts are scaled. Interactive exercises include step-by-step calculations and visual representations to reinforce understanding. Students will apply this concept to solve practical problems involving complex numbers.
Licence
CC-BY
Type
Tutorial
Category
High-school fundamentals – Complex numbers
Keywords
Complex Number, Scalar Multiplication, Algebraic Form
Tags
Gate2Math, TTK
File
TTK-009-TUT-EN.h5p
Addition of complex numbers in algebraical from
Authors
Elena Safiulina, Oksana Labanova
Educational level
Higher Education
Level
easy
Description
This OER covers the addition of complex numbers in algebraic form, showing how real and imaginary parts are combined separately. Interactive exercises guide students through step-by-step calculations and visual representations on the complex plane. The resource helps learners develop a strong foundation in complex number operations for further mathematical applications.
Licence
CC-BY
Type
Tutorial
Category
High-school fundamentals – Complex numbers
Keywords
Complex number, Sum, Addition, Algebraic Form
Tags
Gate2Math, TTK
File
TTK-010-TUT-EN.h5p
Gershgorin circle theorem
Authors
Educational level
Higher Education
Level
medium
Description
As a tool to somehow locate the eigenvalues of a matrix, Gershgorin circle theorem is presented; with examples and questions to be answered online (editable pptx)
Licence
CC-BY
Type
Tutorial
Category
Linear algebra
Keywords
Eigenvalues, Gershgorin circles
Tags
UPC, Gate2Math
File
UPC-008-TUT-EN.pptx
Strictly diagonally dominant matrices
Authors
Educational level
Higher Education
Level
medium
Description
Definition and two important properties of strictly diagonally dominant matrices are presented; with examples and questions to be answered online (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Matrix calculus
Keywords
Strictly diagonally dominant matrices, Eigenvalues, Regular matrix, Gershgorin circles, Definite matrices
Tags
UPC, Gate2Math
File
UPC-012-TUT-EN.pptx
Fourier series
Authors
Educational level
Higher Education
Level
medium
Description
MATLAB code for calculating some selected Fourier coefficients of a given function in a given interval. The code allows taking a period of sines and cosines larger than the length of the given interval, and also to obtain either a Fourier cosine-series or a Fourier sine-series for an appropriate related function. A suggested exercise is also proposed. MATLAB is required.
Licence
CC-BY
Type
Scripts
Category
Fourier analysis – Fourier series
Keywords
Fourier series, period, even function, odd function
Tags
UPC, Gate2Math
File
UPC-013-SCR-EN.zip
Supplementary subspace-matrix approach
Authors
Educational level
Secondary School, Higher Education
Level
medium
Description
Matrix procedure that allows to obtain easily a supplementary subspace of a given subspace of a finite dimensional linear space; with examples (editable pptx).
Licence
CC-BY
Type
Tutorial
Category
Linear algebra – Vector spaces
Keywords
Matrix, Linear Algebra, Subspace, Supplementary
Tags
UPC, Gate2Math
File
UPC-014-TUT-EN.pptx
