714-0761/01 – Algebra and analytical geometry (AAG)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits6
Subject guarantordoc. RNDr. Jaroslav Vlček, CSc.Subject version guarantordoc. RNDr. Jaroslav Vlček, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2006/2007Year of cancellation
Intended for the facultiesFMT, USP, HGFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KRC76 Mgr. Jiří Krček
VLC20 doc. RNDr. Jaroslav Vlček, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Combined Credit and Examination 21+0

Subject aims expressed by acquired skills and competences

The goal of mathematics is train logical reasoning than mere list of mathematical notions, algorithms and methods. Students should learn how to analyze problems, distinguish between important and unimportant, suggest a method of solution and verify each step of an algorithm, generalize achieved results, analyze correctness of results with respect to given conditions, apply these methods while solving technical problems.

Teaching methods

Lectures
Tutorials
Project work

Summary

The topic is the middle part of basic three-semester mathematical course in bachelor degree. s the main goal, there is to build compact system of basic knowledge in algebraic equations and its systems in the frame of finite-dimensional linear spaces. Obtained knowledge will be applied in connected themes as vector algebra and analytical geometry.

Compulsory literature:

Doležalová, J.: Mathematics I, VŠB-TUO, Ostrava, 2005 Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company, 1990

Recommended literature:

Leon, S. J.: Linear Algebra with Applications. MACMILLAN New York, 1980, ISBN 0-02-369810

Way of continuous check of knowledge in the course of semester

Course-credit (10-30 points): - participation on tutorials is obligatory, 20% of absence can be apologized - pass two written tests ... 10 + 10 p. - semestral project ... 10 p. Exam (0-70 p.): - praktical part ... 50 p. - theoretical part ... 20 p.

E-learning

Další požadavky na studenta

Absolving two tests (0-10 p.).

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Complex numbers. 2. Polynomials and algebraic equations. 3. Linear spaces and matrices – part 1.: rank of matrix, systems of linear algebraic equations. 4. Determinants. 5. Matrix algebra. 6. Linear spaces and matrices – part 1.: linear mapping, fundaments of spectral theory. 7. Linear, bilinear and quadratic forms. 8.-9. Spaces with scalar product. 10. Vector algebra. 11. Analytical geometry of linear objects. 12. Classification of conics. 13 . Quadric surfaces.

Conditions for subject completion

Full-time form (validity from: 2011/2012 Winter semester, validity until: 2018/2019 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 10
                1. písemný test Written test 10  0
                21. písemný test Written test 10  0
                semstrální program Semestral project 10  5
        Examination Examination 70 (70) 0
                písemná část Written test 50  0
                teoretická část Oral examination 20  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2018/2019 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2017/2018 (B1701) Physics (1702R001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2017/2018 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2016/2017 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2016/2017 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2016/2017 (B1701) Physics (1702R001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2015/2016 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2015/2016 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2014/2015 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2014/2015 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2013/2014 (B1701) Physics (1702R001) Applied physics P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2013/2014 (B3942) Nanotechnology P Czech Ostrava 2 Compulsory study plan
2012/2013 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2011/2012 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2010/2011 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3942) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2009/2010 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2008/2009 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan
2007/2008 (B3942) Nanotechnology (3942R001) Nanotechnology P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner