Algebra

Course presentation

 

Chapter 0. Introduction to the mathematical method

Session 0a

Session 0b

Session 0c

Chapter 1. Vectors

Session 1a

Session 1b

Chapter 2. Linear equation systems

Session 2a

Session 2b

Session 2c

Session 2d

Session 2e

Chapter 3. Matrix algebra

Session 3a

Session 3b

Session 3c

Session 3d

Session 3e

Chapter 4. Determinant of a matrix

Session 4a

Chapter 5. Vector spaces

Session 5a

Session 5b

Session 5c

Session 5d

Chapter 6. Eigenvalues and eigenvectors

Session 6a

Session 6b

Session 6c

Chapter 7. Orthogonality and least-squares

Session 7a

Session 7b

Session 7c

Session 7d

Chapter 8. Symmetric matrices and quadratic forms

Session 8a

Session 8b

Session 8c

Chapter 9. Linear algebra applications in geometry

Chapter 10. Abstract algebra

 

Problem statements (as separate files)

Problems solved (Latex source)

Minimal Latex source for problems

 

Common math errors

Complex numbers