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Linear Algebra

General data

Course ID:	1100-AL0ZIH
Erasmus code / ISCED:	(unknown) / (unknown)
Course title:	Linear Algebra
Name in Polish:	Algebra liniowa
Organizational unit:	Faculty of Mathematics and Computer Science
Course groups:
ECTS credit allocation (and other scores):	0 OR 6.00 (depends on study program) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
(in Polish) Forma zaliczenia:	(in Polish) egzamin
(in Polish) Forma studiów:	(in Polish) niestacjonarne (zaoczne)
Prerequisits:	Standard knowledge at high school level.
Short description:	The aim of the subject is to introduce algebraic methods which are used in mathematical analysis, stattistics and geometric data analysis. Basic notions and results concerning algebraic structures, vector and matrix calculus are applied to solving linear systems and description of geometric objects. Vector spaces together with maps on them are studied.
Learning outcomes:	1. The student recognizes vector relationships, especially finds bases of vector subspaces. 2. The student proceeds matrix calculations, characterizes matrices and describes linear maps via matrices. 3. The student solves linear systems quanitively as well as qualitively. 4. The student recognizes algebraic structures. 5. The student uses inner product and norm to describe metric properties. 6. The student writes formally fragments of reasoning. 7. The student identifies objects satisfying definitions and gives examples. 8. The student reports theorems and properties. 11A-1A_W01, 11A-1A_U05, 11A-1A_K02

Classes in period "Winter Semester 2023/2024" (past)

Time span:	2023-10-01 - 2024-02-25	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR SA CK SU W CK
Type of class:	Discussion practice class, 16 hours more information Lecture, 16 hours more information
Coordinators:	Maciej Czarnecki
Group instructors:	Maciej Czarnecki
Students list:	(inaccessible to you)
Examination:	Course - (in Polish) Ocena zgodna z regulaminem studiów Discussion practice class - (in Polish) Ocena zgodna z regulaminem studiów Lecture - (in Polish) Ocena zgodna z regulaminem studiów

Classes in period "Winter Semester 2022/2023" (past)

Time span:	2022-10-01 - 2023-02-19	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR SA CK CK W
Type of class:	Discussion practice class, 16 hours more information Lecture, 16 hours more information
Coordinators:	Maciej Czarnecki
Group instructors:	Maciej Czarnecki
Students list:	(inaccessible to you)
Examination:	Course - (in Polish) Ocena zgodna z regulaminem studiów Discussion practice class - (in Polish) Ocena zgodna z regulaminem studiów Lecture - (in Polish) Ocena zgodna z regulaminem studiów

Classes in period "Winter Semester 2021/2022" (past)

Time span:	2021-10-01 - 2022-01-23	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR SA CK CK W
Type of class:	Discussion practice class, 16 hours more information Lecture, 16 hours more information
Coordinators:	Maciej Czarnecki
Group instructors:	Maciej Czarnecki
Course homepage:	http://math.uni.lodz.pl/~maczar/alz/
Students list:	(inaccessible to you)
Examination:	Course - (in Polish) Ocena zgodna z regulaminem studiów Discussion practice class - (in Polish) Ocena zgodna z regulaminem studiów Lecture - (in Polish) Ocena zgodna z regulaminem studiów
Teaching Method:	lecture solving problems group work individual work
Method and Criteria of Assessment:	The final exam consists of - 1 written colloquium - written exam on theory For passing any part 50% is needed.
Course Content:	(1) The space R^n (2) Matrices (3) Systems of linear equations - quantitive methods (4) Linear transformations (5) Algebraic structures (6) Determinants (7) Systems of linear equations - qualitive methods (8) Structures in vector spaces
Bibliography:	[1] D. Cherney, T. Denton, R. Thomas, A. Waldron, Linear Algebra, https://www.math.ucdavis.edu/ linear/linear-guest.pdf [2] M. Czarnecki, Algebra liniowa, http://math.uni.lodz.pl/~maczar/al/al.pdf [3] B. Gleichgewicht, Algebra, PWN [4] J. Hefferon, Linear Algebra, http://joshua.smcvt.edu/linearalgebra/book.pdf [5] J. Rutkowski, Algebra liniowa w zadaniach, PWN

Classes in period "Winter Semester 2020/2021" (past)

Time span:	2020-10-01 - 2021-02-07	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR SA CK CK SU W
Type of class:	Discussion practice class, 16 hours more information Lecture, 16 hours more information
Coordinators:	Maciej Czarnecki
Group instructors:	Maciej Czarnecki, Agnieszka Pabiniak
Course homepage:	http://math.uni.lodz.pl/~maczar/alz/
Students list:	(inaccessible to you)
Examination:	Course - (in Polish) Ocena zgodna z regulaminem studiów Discussion practice class - (in Polish) Ocena zgodna z regulaminem studiów Lecture - (in Polish) Ocena zgodna z regulaminem studiów
Teaching Method:	lecture solving problems group work individual work
Method and Criteria of Assessment:	The final exam consists of - 1 written colloquium - written exam on theory For passing any part 50% is needed.
Course Content:	(1) The space R^n (2) Matrices (3) Systems of linear equations - quantitive methods (4) Linear transformations (5) Algebraic structures (6) Determinants (7) Systems of linear equations - qualitive methods (8) Structures in vector spaces
Bibliography:	[1] D. Cherney, T. Denton, R. Thomas, A. Waldron, Linear Algebra, https://www.math.ucdavis.edu/ linear/linear-guest.pdf [2] M. Czarnecki, Algebra liniowa, http://math.uni.lodz.pl/~maczar/al/al.pdf [3] B. Gleichgewicht, Algebra, PWN [4] J. Hefferon, Linear Algebra, http://joshua.smcvt.edu/linearalgebra/book.pdf [5] J. Rutkowski, Algebra liniowa w zadaniach, PWN

Classes in period "Winter Semester 2019/2020" (past)

Time span:	2019-10-01 - 2020-02-23	Selected timetable range: weekly course term Navigate to timetable MO TU W TH FR SA W SU CK CK
Type of class:	Discussion practice class, 16 hours more information Lecture, 16 hours more information
Coordinators:	Maciej Czarnecki
Group instructors:	Małgorzata Ciska-Niedziałomska, Maciej Czarnecki
Course homepage:	http://math.uni.lodz.pl/~maczar/alz/
Students list:	(inaccessible to you)
Examination:	Course - (in Polish) Ocena zgodna z regulaminem studiów Discussion practice class - (in Polish) Ocena zgodna z regulaminem studiów Lecture - (in Polish) Ocena zgodna z regulaminem studiów
Teaching Method:	lecture solving problems group work individual work
Method and Criteria of Assessment:	The final exam consists of - 1 written colloquium - written exam on theory For passing any part 50% is needed.
Course Content:	(1) The space R^n (2) Matrices (3) Systems of linear equations - quantitive methods (4) Linear transformations (5) Algebraic structures (6) Determinants (7) Systems of linear equations - qualitive methods (8) Structures in vector spaces
Bibliography:	[1] D. Cherney, T. Denton, R. Thomas, A. Waldron, Linear Algebra, https://www.math.ucdavis.edu/ linear/linear-guest.pdf [2] M. Czarnecki, Algebra liniowa, http://math.uni.lodz.pl/~maczar/al/al.pdf [3] B. Gleichgewicht, Algebra, PWN [4] J. Hefferon, Linear Algebra, http://joshua.smcvt.edu/linearalgebra/book.pdf [5] J. Rutkowski, Algebra liniowa w zadaniach, PWN

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