Linear Algebra 1
Higher education institutions are encouraged to offer this course to their students. Further details can be found in a concise video presentation.
That course of linear algebra will provide a comprehensive introduction to the highly beneficial subject of linear algebra. It involves a detailed exploration of linear algebra in the Euclidean plane. Upon completion of the course, you will have the capability to execute the subsequent mathematical operations.
- Solve systems of two linear equations with two variables.
- Utilise, graph, and manipulate vectors in the plane.
- Compute and apply dot products and norms of vectors in the Euclidean plane.
- Define and manipulate angles, along with their trigonometric functions.
- Determine and utilize polar coordinates of a nonzero vector.
- Work with and manipulate complex numbers, visualizing their vector representations.
- Perform calculations involving matrices of linear transformations.
- Identify bases in the plane and compute transition matrices for changing bases.
- Compute eigenvalues and eigenvectors of a matrix, utilising them for matrix diagonalisation.
- Lastly, diagonalise matrices in ℂ that have no real eigenvalues.
All of these concepts will be taught from a practical perspective, incorporating graphics and Python sessions and scripts.
A preliminary course of Python is provided to help students follow the course of linear algebra.
Hi, I'm Fabienne Chaplais from Mathedu
I hold the 'Agrégation de Mathématiques', the highest French degree to teach math up to the undergraduate level.
During 26 years, I was an R&D engineer in the space, defence and railway industries.
With my husband François, we created Mathedu to teach mathematics from a practical point of view, based on Python programming sessions and scripts.
I am an enthusiastic teacher, loving sharing my passion of mathematics.
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Bundle Contents
A short ciurse of Python, plus a full course of linear algebra in the plane