| Area of Mathematics: | Algebra and Geometry | ||
| Semester: | 2ο | ||
| Course ID: | 21203 | ||
| Course Type: | Compulsory | ||
| Teaching hours per week: | Theory: 3 | Practice: 1 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | For the course’s material, click here. | ||
| Instructors: | Ilias Tergiakidis | ||
Description
- Vector Analysis: Free vectors, vectors as matrices, operations of vectors, collinear and plane vectors, inner (or scalar), exterior, triple scalar, double exterior vector products. Geometric meaning of vector products.
- Analytic geometry of the plane: Position vector and coordinate systems, orthonormal basis, parallel translation and rotation in the plane. Polar coordinates, conic sections, remarkable curves.
- Analytic geometry of the space: Coordinate systems. Line and plane in space (Cartesian, vector and parametric equations). Distance of a point from a line and plane, distance between lines, angle between planes, skew lines. Parallel translation and rotation in space. Quadratic curves and surfaces in space, affine transformations, isometries.
Bibliography
- F. Riddle Analytic Geometry 6th Edition
- H. Kindle Analytic Geometry Schaum’s outline series
