1 |
Name of the course |
Algebra |
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2 |
Year of study, speciality |
1, Mechanics and Mathematical Modeling |
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3 |
Semester of study |
2 |
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4 |
Credits |
2 |
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5 |
Lecturer |
Ivanov K.A. |
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6 |
Course objectives |
To acquaint students with fundamental methods of general and linear algebra, with basic algebraic structures – groups, rings and fields; to create a base for studying basic concepts and methods of modern mathematics; to form mathematical thinking among students; to acquaint with methods of mathematical proofs; to study algorithms for solving specific mathematical problems. To instill in students the ability to independently study educational and scientific literature in the field of mathematics. As a result of studying the course, a student should be able to: – find the basis of a vector space, of a sum and intersection of subspaces, coordinates of a vector in a given basis, find the rank of the matrix and vector systems; – find eigenvalues and eigenvectors of a matrix and a linear operator; – reduce the quadratic form to the canonical form; – reduce the orthogonal operator to the canonical form; – – find an orthonormal basis, an orthogonal complement to the subspace. |
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7 |
Prerequisites |
Algebra (part 1) |
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8 |
Contents |
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9 |
RecommendedLiterature
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10 |
Teaching methods |
Verbal, visual, problem-based, practical, dialog-based and heuristic. |
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11 |
Language of teaching |
Russian |
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12 |
Conditions (requirements), current control |
– check of individual tasks, – tests. examinations marks are given taking into account: 40% – semester work, 60% – oral answer in an examination |
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13 |
Form of current assessment |
an examination |