Algebra I
Informacje ogólne
Kod przedmiotu: | 360-MS1-2ALG1a |
Kod Erasmus / ISCED: |
11.102
|
Nazwa przedmiotu: | Algebra I |
Jednostka: | Wydział Matematyki |
Grupy: |
Erasmus+ sem. zimowy |
Punkty ECTS i inne: |
4.00
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Język prowadzenia: | angielski |
Rodzaj przedmiotu: | obowiązkowe |
Założenia (lista przedmiotów): | Algebra liniowa I 0600-FS1-1AL1 |
Założenia (opisowo): | The student has basic knowledge of Linear Algebra, Elementary Number Theory and Introduction to Mathematics. |
Tryb prowadzenia przedmiotu: | w sali |
Skrócony opis: |
Aims and objectives of the course: Developing the ability to recognize the structure of a group, ring, field in known algebraic and geometric objects (transformations, permutations, isometries, subsets of complex numbers, invertable matrices), expressing facts known from elementary number theory in terms of groups and rings. |
Pełny opis: |
Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: science and natural science, field of study in the arts and science: mathematics Year: 2, semester: 3 Prerequisities: Linear Algebra II, Elementary Number Theory lecture 30 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 4 Balance of student workload: attending lectures15x2h = 30h attending exercise classes 7x4h + 2h(preliminary teaching) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x2h = 14h consultations 5x2h = 10h the final examination: preparation and take 15h + 4h = 19h Quantitative description Direct interaction with the teacher: 74 h., 2 ECTS Practical exercises: 75 h., 3 ECTS |
Literatura: |
1. Paul M. Cohn " Basic Algebra: Groups, Rings and Fields", Springer Science & Business Media 2004. 2. Joseph J. Rotman "A First Course in Abstract Algebra: With Applications" Pearson Prentice Hall 2006. 3. Joseph Gallian "Contemporary Abstract Algebra" Cengage Learning 2016. 4. Gregory T. Lee "Abstract Algebra: An Introductory Course" Springer 2018. 5. I. N. Herstein "Abstract Algebra" Macmillan Pub 1990. 6. David S. Dummit, Richard M. Foote" Abstract Algebra" Wiley. 1999. 7. Woronowicz M. "Algebra for Erasmus Students Volume 1, Uniwersytet w Białymstoku, 2024. |
Efekty uczenia się: |
Student can formulate the most important theorems of general algebra, knows the basic theorem of algebra and understands its meaning KA6_WG03. Student knows examples of applications of general algebra methods in various branches of mathematics (for example, Fermat's little theorem in number theory) KA6_UW25. Student is able to use the most important theorems of general algebra to solve standard problems KA6_UW25. Student knows the basic structures and concepts of general algebra and can illustrate them with examples (permutation groups, polynomial rings, GF (p ^ n) fields) KA6_WG04. Student knows that the known algebraic structures exist and are important in various mathematical theories and can point out a specific example of the application of general algebra in reality (e.g. cryptography) KA6_WG02, KA6_WK01, KA6_WK03. Student notices analogies between the properties of various algebraic structures KA6_UW24. |
Metody i kryteria oceniania: |
The overall form of credit for the course: final exam |
Zajęcia w cyklu "Rok akademicki 2024/25" (w trakcie)
Okres: | 2024-10-01 - 2025-06-30 |
Przejdź do planu
PN WT ŚR WYK
CW
CZ PT |
Typ zajęć: |
Ćwiczenia, 30 godzin
Wykład, 30 godzin
|
|
Koordynatorzy: | Mateusz Woronowicz | |
Prowadzący grup: | Mateusz Woronowicz | |
Lista studentów: | (nie masz dostępu) | |
Zaliczenie: |
Przedmiot -
Egzamin
Ćwiczenia - Zaliczenie na ocenę |
Właścicielem praw autorskich jest Uniwersytet w Białymstoku.