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Course, academic year 2017/2018
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Linear Algebra I - NMAI057
Czech title: Lineární algebra I
Guaranteed by: Department of Applied Mathematics (32-KAM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017 to 2017
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: Mgr. Pavel Hubáček, Ph.D.
doc. RNDr. Pavel Valtr, Dr.
Andrew Goodall
Class: Informatika Bc.
Classification: Mathematics > Algebra
Annotation -
Last update: G_I (11.04.2003)

Basics of linear algebra (vector spaces and linear maps, solutions of linear equations, matrices).
Course completion requirements -
Last update: Andrew Goodall (13.10.2017)

For passing the class you should satisfy one the following criteria:

1) obtain at least 50% of total marks from the tests given during the semester (there will be about 6 tests of roughly 10-15 minutes each),

2) obtain at least 60% of total marks from the tests given during the semester; two tests can be replaced by extra test at the end of the semester (missed tests or those with the worst results),

3) obtain at least 60% of total marks as in the case 2), in which you may obtain additional marks for active participation in classes or by homework (1 additional point corresponds to 5%; at most 20% of points can be replaced in this way).

Literature -
Last update: Andrew Goodall (11.10.2017)

D. Poole. Linear Algebra, A Modern Introduction. 3rd Int. Ed., Brooks Cole, 2011. Chapters 1,2,3,6.

Also useful:

G. Strang. Linear algebra and its applications. Thomson, USA, 4rd edition, 2006.

C. D. Meyer. Matrix analysis and applied linear algebra. SIAM, Philadelphia, PA, 2000.

W. Gareth. Linear Algebra with Applications. Jones and Bartlett Publishers, Boston, 4th edition, 2001.

R. Beezer, A First Course in Linear Algebra - a free online textbook.

Requirements to the exam -
Last update: Andrew Goodall (11.10.2017)

Andrew Goodall:

There will an examination consisting of a written and oral part.

The written part involves several exercises, taking approximately 60-90 minutes to complete satisfactorily.

The oral part involves discussion of solutions to the set problems and additional questions on topics covered in lectures and classes.

Class credits ("zapocet") are prerequisite for taking the examination.

Syllabus -
Last update: Andrew Goodall (11.10.2017)

Basic matrix operations, inverse matrices. Gaussian elimination, row echelon form, solving systems of linear equations.

Vector spaces: basic concepts, basis, dimension, linear mapping. Applications of linear algebra.

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