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    Moodle is an open-source Learning Management System (LMS) that provides educators with the tools and features to create and manage online courses. It allows educators to organize course materials, create quizzes and assignments, host discussion forums, and track student progress. Moodle is highly flexible and can be customized to meet the specific needs of different institutions and learning environments.

    Moodle supports both synchronous and asynchronous learning environments, enabling educators to host live webinars, video conferences, and chat sessions, as well as providing a variety of tools that support self-paced learning, including videos, interactive quizzes, and discussion forums. The platform also integrates with other tools and systems, such as Google Apps and plagiarism detection software, to provide a seamless learning experience.

    Moodle is widely used in educational institutions, including universities, K-12 schools, and corporate training programs. It is well-suited to online and blended learning environments and distance education programs. Additionally, Moodle's accessibility features make it a popular choice for learners with disabilities, ensuring that courses are inclusive and accessible to all learners.

    The Moodle community is an active group of users, developers, and educators who contribute to the platform's development and improvement. The community provides support, resources, and documentation for users, as well as a forum for sharing ideas and best practices. Moodle releases regular updates and improvements, ensuring that the platform remains up-to-date with the latest technologies and best practices.

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Available courses

DIFFERENTIAL CALCULUS

DIFFERENTIATIONS

Linear Algebra

Linear Algebra – Course Outline (For Moodle/Gnomio)

📍 Module 1: Vectors

Topics:

  • Scalars, vectors, notation

  • Vector addition & scalar multiplication

  • Linear combinations

  • Span of a set of vectors

Moodle resources you can add:

  • PDF notes

  • GeoGebra links

  • Quiz: vector addition problems

📍 Module 2: Matrices

Topics:

  • Types of matrices

  • Matrix addition & multiplication

  • Identity and zero matrices

  • Matrix transpose

Activities:

  • “Add an activity → Quiz”: matrix multiplication exercises

  • File resource: matrix rules cheatsheet

📍 Module 3: Systems of Linear Equations

Topics:

  • Row operations

  • Row echelon form (REF)

  • Reduced row echelon form (RREF)

  • Gaussian elimination

Moodle suggestions:

  • Lesson activity explaining RREF

  • Assignment: solve 5 linear systems

📍 Module 4: Linear Transformations

Topics:

  • Definition of a linear transformation

  • Standard matrix of a transformation

  • Examples (rotation, reflection, projection)

Moodle activities:

  • Upload image → explanation of transformations

  • Quiz: identify transformation matrices

📍 Module 5: Determinants

Topics:

  • Determinant of 2×2 and 3×3

  • Properties of determinants

  • Applications (area, volume, invertibility)

Activities:

  • Quiz: compute determinants

  • Short video explanation

📍 Module 6: Vector Spaces & Subspaces

Topics:

  • Definition of a vector space

  • Subspaces

  • Null space, column space

  • Basis and dimension

Moodle activities:

  • Forum: students discuss basis examples

  • Assignment: find bases of column/row spaces

📍 Module 7: Eigenvalues & Eigenvectors

Topics:

  • Characteristic polynomial

  • Eigenvalues, eigenvectors

  • Diagonalization

Moodle suggestions:

  • Quiz: find eigenvalues of 2×2 matrices

  • Lesson module: diagonalization steps

📍 Module 8: Applications of Linear Algebra

Choose depending on your class level:

  • Linear regression

  • Markov chains

  • Computer graphics transformations

  • Cryptography