CHAPTER I: LINEAR ALGEBRA
Part 1: Matrices
Part 2: Linear systems of equations
Part 3: Vector spaces and subspaces
Part 4: Bases and dimension
Part 5: Equations of subspaces
Part 6: Operations with subspaces
Part 7: Linear maps
Part 8: Diagonalization
CHAPTER II: AFFINE AND EUCLIDEAN GEOMETRY
Part 1: The affine space
Part 2: Affine transformations
Part 3: Afiine Euclidean space
Part 4: Isometries
CHAPTER III: CONICS AND QUADRICS
Part 1: Introduction to the projective
space
Part 2: Conics
Part 3: Pencil of conic
Part 4: Quadrics