People Innovation Excellence

GEOMETRIC ALGEBRA (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Explain the concept of plane and space geometry; Explain relation between geometric objects; Explain the concept of geometric algebra; Describe geometrical objects using linear algebra approach; Interpret algebraic equations as geometric objects

Topics:

  1. Preliminaries;
  2. Vectors and Coordinates in R2;
  3. Straight Lines in a Plane;
  4. Linear and Affine Transformations in R2;
  5. Conics;
  6. Vectors and Coordinates in R3;
  7. Lines and Planes in Space;
  8. Linear and Affine Transformations in R3;
  9. Quadrics;
  10. Geometric Algebra and Computer Graphics.

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