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Linear algebra again - NMMB232

Title:	Lineární algebra podruhé
Guaranteed by:	Department of Algebra (32-KA)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2015 to 2016
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	doc. RNDr. Jiří Tůma, DrSc.
Class:	M Bc. MMIB > Povinně volitelné M Bc. MMIT M Bc. MMIT > Povinně volitelné
Classification:	Mathematics > Algebra

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Annotation -

Last update: doc. Mgr. Petr Kaplický, Ph.D. (04.02.2019)

Elements of affine geometry, projective geometry in plane, space and in higher dimension, projective transformation. Classification of quadrics in projective spaces, basics of synthetic projective geometry. Application on linear algebra and other branches.

Literature -

Last update: doc. RNDr. Jiří Tůma, DrSc. (03.02.2019)

I.Kaplansky, Linear Algebra and Geometry, A Second Course, Chelsea Publishing Comp., New York 1974

Handbook of Linear Algebra, Second edition, Leslie Hogan ed., CRC Press 2014

Syllabus -

Last update: doc. RNDr. Jiří Tůma, DrSc. (03.02.2019)

1. Elements of affine geometry.

2. Elements of projective geometry in plane, space and in higher dimension.

3. Projective transformations.

4. Classification of quadrics in projective spaces.

5. Basics of synthetic projective geometry.

6. Applications on linear algebra and other branches.