Mathematics

Linear Algebra I(MAT261)

Content
Course Code Course Name Semester Theory Practice Lab Credit ECTS
MAT261 Linear Algebra I 3 3 2 0 5 8
Prerequisites
Admission Requirements
Language of Instruction
Course Type Compulsory
Course Level Bachelor Degree
Course Instructor(s) Oğuzhan KAYA oguzabel@gmail.com (Email)
Assistant
Objective Teaching the fundaments of linear algebra
Content Real numbers, Complex numbers, Vector spaces, Finite dimensional vector spaces, Basis, Dimension, Direct sum, Linear transformations, Matrices, Change of basis, Row and column spaces
Course Learning Outcomes - To have enough knowledge about the linear algebra and to use efficiently this knowledge during the scholar period.
- To adapt and to participate to group workings
- To use abstract thinking.
Teaching and Learning Methods Examens
Homeworks
References Axler, Sheldon J, Linear Algebra Done Right.
Print the course contents
Weekly Contents
Theory Topics
Week Weekly Contents
1 Fields
2 Vector spaces-Subspaces
3 Basis-Dimension
4 Direct sum
5 Linear transformations-Image-Kernel
6 Matrix of Linear transformations-Matrices
7 Exam-Change of Basis
8 Inversibles matrices-Elementary matrices
9 System of Linear Equations
10 Subspaces of row and column- Rank-Theorems about ranks
11 Determinant
12 Cofactor and Cramer methods
13 Gauss method
14 Calcul of determinant
Practice Topics
Week Weekly Contents
Assessment System
Contribution to Overall Grade
  Number Contribution
Contribution of in-term studies to overall grade 2 55
Contribution of final exam to overall grade 1 45
Toplam 3 100
In-Term Studies
  Number Contribution
Assignments 0 0
Presentation 0 0
Midterm Examinations (including preparation) 2 40
Project 0 0
Laboratory 0 0
Other Applications 1 15
Quiz 0 0
Term Paper/ Project 0 0
Portfolio Study 0 0
Reports 0 0
Learning Diary 0 0
Thesis/ Project 0 0
Seminar 0 0
Other 1 45
Toplam 4 100
Relation of Proficiency
No Program Learning Outcomes Contribution
1 2 3 4 5
1 understands principles of deductive reasoning; has experience to verify well-foundedness and exactness of mathematical statements in systematic ways; X
2 can properly state and use concepts and results of major mathematical interest; X
3 masters current computational techniques and algorithms; has a good ability in their use; can identify relevant tools, among those one has learned, suitable to solve a problem and is able to judge whether or not one is in possession of these tools; X
4 is able to express one’s mathematical ideas in an organised way both in written and oral forms; X
5 understands relations connecting substantial concepts and results; can switch from one viewpoint to another on mathematical objects (pictures, formulae, precise statements, heuristic trials, list of examples,...); X
6 has followed individually a guided learning strategy; has pursued steps toward the resolution of unfamiliar problems; X
7 has a theoretical and practical knowledge in computer science well adapted for learning a programming language; X
8 has investigated the relevance of modeling and using mathematical tools in natural sciences and in the professional life; is conscious about historical development of mathematical notions; X
9 has followed introduction to some mathematical or non-mathematical disciplines after one’s proper choice; had experience to learn selected subjects according to one’s proper arrangement; X
10 masters French language as well as other foreign languages, to a level sufficient to study or work abroad. X
ECTS
Activities Number Period Total Workload
Class Hours 5 14 70
Working Hours out of Class 5 14 70
Assignments 3 3 9
Presentation 2 0 0
Midterm Examinations (including preparation) 3 2 6
Other Applications 2 1 2
Quiz 3 2 6
Total Workload 163
Total Workload / 25 6.52
Credits ECTS 7
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