Academic Year/course:
2017/18
453 - Degree in Mathematics
27000 - Linear algebra
Syllabus Information
Academic Year:
2017/18
Subject:
27000 - Linear algebra
Faculty / School:
100 - Facultad de Ciencias
Degree:
453 - Degree in Mathematics
ECTS:
13.5
Year:
1
Semester:
Annual
Subject Type:
Basic Education
Module:
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5.1. Methodological overview
The general teaching methodology designed for this class is based on the following:
- Lectures
- Problem sessions
- Office hours
- Students’ individual work
5.2. Learning tasks
In addition to the above activities, throughout the course the students are provided with four sets of exercises to be solved and expounded to one of the teachers during office hours.
5.3. Syllabus
1. Vector Spaces
2. Linear Mappings and Matrices
3. Rank
4. Integer Matrices and Polynomial Matrices
5. Linear, Bilinear and Hermitian Forms
6. Eigenvectors and Eigenvalues
7. Theory of an Endomorphism
8. Euclidean and Unitary Spaces
9. Endomorphisms of Euclidean and Unitary Spaces
10. Applications to Geometry
5.4. Course planning and calendar
See the academic calendar of the Universidad de Zaragoza and the class schedules published on the Facultad de Ciencias webpage. The exact time and place of the examinations will be announced in class and posted on a bulletin board and on the online platform (ADD).
5.5. Bibliography and recommended resources
Notes on the theoretical part of the lessons will appear in the ADD before they are given. A number of problems are supplied as well.