Algebraic Structures

Major: Applied mathematics and computer science
Code of subject: 6.113.00.O.008
Credits: 5.00
Department: Applied Mathematics
Lecturer: PhD in math., associate professor Vozna S.M.
Semester: 2 семестр
Mode of study: денна
Learning outcomes: to know basic concepts of algebra and geometry, linear spaces, operators in linear spaces, groups, rings, fields, bilinear and quadratic forms; to be able to decide basic tasks each of divisions; to have an idea about application of the purchased knowledge to untiing of practical tasks of the applied mathematics.
Required prior and related subjects: Prerequisites: algebra and geometry, mathematical analysis; Corequisites: mathematical analysis, programming (parts 1,2), functional analysis and numeral methods.
Summary of the subject: Theory of linear spaces, linear systems of general view, linear transformations of linear spaces, theory of bilinear and quadratic forms and basic concepts of theory of groups, ring, field.
Assessment methods and criteria: Current control: practical classes, test work, control work (40 %); Final control: (60%): differentiated test in writing form.
Recommended books: 1. Kurosh A.G. Lektsii po obshchey algebre. [Tekst]: ucheb. / A.G. Kurosh - M.: “Nauka”. - 1973. — 431 s. — ISBN 5-8114-0616-9 2. Golovina L.I.., Lineynaya algebra i nekotorye ee prilozheniya. .- [Tekst]: ucheb. / L.I. Golovina, - Nauka.- M.: 1975. — 408 s. — ISBN 978-5-458-33855-4 3. Maltsev A.I. Osnovy lineynoy algebry. [Tekst]: ucheb. / A.I Maltsev. - M.: “Nauka”. - 1970. . — 801 s. — ISBN 978-5-468-00138-7 4. Gelfand I.M. Lektsii po lineynoy algebre. [Tekst]: ucheb. / I.M. Gelfand - M.: “Nauka”. - 1966. — 260 s. — ISBN 978-5-9221-1331-1 5. Proskuryakov I.V. Sbornik zadach po lineynoy algebre. [Tekst]: ucheb. / I.V. Proskuryakov - M.: “Nauka”. - 1974. — 480 s. — ISBN 978-5-8114-0707-1 6. Zavalo S.T. i in. Algebra i teoriya chisel. Praktikum. Chastini 1, 2. [Tekst]: posibn. / S.T. Zavalo - K.: “Vishcha shkola”. - 1976. — 420 s. — ISBN 978-966-660-551-4