LINEAR ALGEBRA II es |
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SUPPORT DOCUMENTS |
PRECOURSES: Notes on topics that should be known before starting the study of the subject.(in Spanish) | ||
PART I. Bilinear maps and homogeneous tensors. | ||
Chapter 1. Bilinear maps and quadratic forms. | ||
Chpater 2. Duality and homogeneous tensors. | ||
PART II. Euclidean vector spaces. | ||
Chapter 1. Introduction to euclidean spaces. | ||
Chapter 2. Orthogonality | ||
Capítulo 3. Orthogonal maps. | ||
Capítulo 4. Cross product and mixed product. | ||
PART III. Affine geometry. | ||
Chapter 1. Affine space. | ||
Chapter 2. Projective space. | ||
PART IV. Conics and quadric surfaces. | ||
Chapter 1. Conics. | ||
Appendix about equations of conics satisfying certain conditions. | ||
Summary of the formulas and procedures to study a conic. | ||
Chapter 2. Quadrics. | ||
Index. |
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Academic Year 2023/2024 |