Bachelor in Applied Mathematics

Study the Bachelor's Degree in Applied Mathematics at La Salle Campus Barcelona and IQS, two pioneering institutions that combine academic excellence, technological innovation and a solid connection with the business world.

Linear and Projective Geometry

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Description: 

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Type Subject
Primer - Obligatoria
Semester
Second
Course
1
Credits
6.00
Previous Knowledge: 

- Linear Algebra

Objectives: 

The aim of the course is to introduce the basic notions required to understand projective geometry and some of its most relevant classical theorems. In particular, an abstract framework is presented in which affine and Euclidean geometry, as well as hyperbolic geometry and others, can be represented. Its study enables students to move fluently between algebraic and geometric language, especially in one and two dimensions, as well as to understand its relationship with other branches of mathematics, notably algebraic geometry.

Contents: 

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Methodology: 

The expected learning outcomes are:

  1. Reproduce basic proofs of results in affine and projective geometry
  2. Define the basic concepts of affine and projective geometry
  3. Solve problems in the field of linear and projective geometry
  4. Convert affine geometry problems into projective geometry problems efficiently

Evaluation: 

The course will be assessed according to the following criteria:

SE1-Examinations

SE2-Learning progress monitoring activities

SE3-Projects and practical work

SE4-Participation

Evaluation Criteria: 

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Basic Bibliography: 

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Additional Material: 

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