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•           Information on Degree Programmes

COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Linear Algebra - II * MAT   112 2 3 3 4

 Prerequisites and co-requisites Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Asst.Prof.Dr. Ela AYDIN
Instructors
 Dr. Öğr. Üyesi ELA AYDIN 1. Öğretim Grup:A Dr. Öğr. Üyesi ELA AYDIN 2. Öğretim Grup:A

Assistants
Goals
To find a base of vector space and determine its dimension,To calculate the length of vectors in inner products spaces and the angles between them,To understand the relation between matrices and linear transformation,To determine eigenvalue and eigenvector and find similar matrices
Content
a base of vector space and its dimension,T inner products spaces ,To understand the relation between matrices and linear transformation,To determine eigenvalue and eigenvector and find similar matrices

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics
X
2
Emphasize the importance of Statistics in life
X
3
Define basic principles and concepts in the field of Law and Economics
X
4
Produce numeric and statistical solutions in order to overcome the problems
5
Use proper methods and techniques to gather and/or to arrange the data
X
6
Utilize computer systems and softwares
7
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events
8
Apply the statistical analyze methods
X
9
Make statistical inference(estimation, hypothesis tests etc.)
10
Generate solutions for the problems in other disciplines by using statistical techniques
11
Discover the visual, database and web programming techniques and posses the ability of writing programme
12
Construct a model and analyze it by using statistical packages
X
13
Distinguish the difference between the statistical methods
14
Be aware of the interaction between the disciplines related to statistics
X
15
Make oral and visual presentation for the results of statistical methods
X
16
Have capability on effective and productive work in a group and individually
X
17
Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs
X
18
Develop scientific and ethical values in the fields of statistics-and scientific data collection

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Linear functions, one to one and onto functions Review of the relevant pages from sources
2 Kernel and images of linear functions Review of the relevant pages from sources
3 Matrices of linear transformations Review of the relevant pages from sources
4 equvalences of matrices Review of the relevant pages from sources
5 Sthandard inner product in space and plane Review of the relevant pages from sources
6 Inner products and orthogonality Review of the relevant pages from sources
7 Gramm-Schmidt orthogonalization Review of the relevant pages from sources
8 Mid-term exam Review of the topics discussed in the lecture notes and sources
9 Eigenvalues and eigenvectors Review of the relevant pages from sources
10 Diagonalization and triangularization of matrices Review of the relevant pages from sources
11 Diagonalization of symetric matrices Review of the relevant pages from sources
12 Determinant function applications Review of the relevant pages from sources
13 Rank of matrices Review of the relevant pages from sources
14 Complex numbers in Linear algebra Review of the relevant pages from sources
15 Solving problems, final exam Review of the relevant pages from sources
16-17 Final exam Review of the topics discussed in the lecture notes and sources