Course Information

AcademicYear : 2020-2021

MATH 217 : Linear Algebra

Language Of Instruction	English
Type of Course Unit	Elective
Level of Course Unit	Bachelor's Degree
Name of Lecturers	Kemal Ilgar Eroğlu, Faculty Member, PhD (Fall) Ahmet Nedim Narman, Lecturer (Fall) Burçin Güneş, Lecturer (Fall)
Course Description	This course aims to introduce the basic concepts of linear algebra. After going over matrix operations, echelon forms, Cramer's Rule and solutions of linear systems using these, methods to find determinants and inverse matrices are summarized. Then vector spaces, linear maps and their matrix representations are introduced. The final parts are dedicated to inner product spaces, (generalized) eigenspaces and theorems on the diagonalization problem.
Learning Outcomes of the Course Unit	Upon successful completion of the course, students will be able to; Understand the geometric interpretation of complex numbers in plane, the Euler identity. Understand linear independence, vector spaces, bases and dimension. Identify a linear map, its kernel, image, and the matrix associated with the linear map. Identify homogeneous and non-homogeneous systems of linear equations, compute determinants of square matrices. Solve systems of linear equations, Apply diagonalization using eigenvalues and eigenvectors of a matrix.
Mode of Delivery	Fully Online
Prerequisites And Co-Requisites	Prerequisite(s) : EC 176 or MATH 169 or MATH 176
Required Reading
Recommended Reading	Elementary Linear Algebra, 8th edition by Ron Larson. Differential Equations and Linear Algebra by Stephen W. Goode. David C. Lay, Linear Algebra and Its Applications. Gilbert Strang, Introduction to Linear Algebra. David Poole, Linear Algebra: A Modern Introduction.
Planned Learning Activities and Teaching Methods	Theoretical lectures(Lecture), Study time for Theoretical Lectures (Lecture), In-class practice(Class), Study time for In-class practice (Class)
Consent	Does not require consent
Requirement and Policies	No Requirements and Policies

Course Content

1 .Week	Complex numbers and their properties.
2 .Week	Matrices, matrix algebra.
3 .Week	Determinants and their properties, Cramer’s rule.
4 .Week	Systems of linear equations: Gaussian elimination, Reduced Row Echelon Form.
5 .Week	Vector spaces, bases, dimension.
6 .Week	Vector spaces (continued).
7 .Week	Midterm.
8 .Week	Linear transformations.
9 .Week	Linear transformations (continued).
10 .Week	Eigenvalues and eigenvectors.
11 .Week	Eigenvalues and eigenvectors (continued).
12 .Week	Inner product, Hermitian and unitary maps.
13 .Week	Diagonalization.
14 .Week	Applications.
15 .Week	Review.
16 .Week	Final.
17 .Week	Final.

Assesment Methods And Criteria	Quantity	Percentage (%)
Midterm(s)	1	40
Final exam	1	60
Total (%)		100

Program List

Financial Mathematics | Curriculum | Prerequisites / Conditions Graph

Electrical and Electronics Engineering | Curriculum | Prerequisites / Conditions Graph

Energy Systems Engineering | Curriculum | Prerequisites / Conditions Graph

Civil Engineering | Curriculum | Prerequisites / Conditions Graph

Mechatronics Engineering | Curriculum | Prerequisites / Conditions Graph

Offered In Elective Lists

Full List

VOC Full List

Course List for Exchange Students - All

Course List for Exchange Students - English

Program Learning Outcomes

F = Full

P = Partial

N = None

Program	1	2	3	4	5	6	7
Financial Mathematics Program Learning Outcomes × Kapat	P	P	P	P	P	P	P
Program	1	2	3	4	5	6	7
Electrical and Electronics Engineering Program Learning Outcomes × Kapat	-	-	-	-	-	-	-
Program	1	2	3	4	5	6	7
Energy Systems Engineering Program Learning Outcomes × Kapat	F	P	N	N	N	N	N
Program	1	2	3	4	5	6	7
Civil Engineering Program Learning Outcomes × Kapat	-	-	-	-	-	-	-
Program	1	2	3	4	5	6	7
Mechatronics Engineering Program Learning Outcomes × Kapat	-	-	-	-	-	-	-

Course Curriculum Map

M = Master

D = Develop

I = Introduce

N = None

Program	1	2	3	4	5	6	7
Financial Mathematics	M	M	M	M	M	M	M
Program	1	2	3	4	5	6	7
Electrical and Electronics Engineering	D	D	N	N	N	N	N
Program	1	2	3	4	5	6	7
Energy Systems Engineering	D	D	N	N	N	N	N
Program	1	2	3	4	5	6	7
Civil Engineering	D	I	N	N	N	N	N
Program	1	2	3	4	5	6	7
Mechatronics Engineering	D	I	N	N	N	N	N

Academic Integrity

Any test, assignment, paper, or report submitted by you and that has your name on it is presumed to be your own original work that has not previously been submitted for credit in another course or has not been written partially or completely by another person. In all of your assignments, you may use words or ideas written by other individuals in publications, web sites, or other sources, but only with proper attribution as explained in your course. If you are not clear about the expectations for completing an assignment or taking a test or examination, be sure to seek clarification from your instructor. Finally, you should keep in mind that as a member of the campus community, you are expected to demonstrate integrity in all of your academic endeavors and will be evaluated on your own merits.. The consequences of cheating and academic dishonesty is a formal discipline punishment as regulated by the Turkish Higher Educational Council.

Educational Support for Disabled Students

If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and Bilgi Accessible Education Unit as early as possible in the term. Bilgi Accessible Education Unit will verify your disability and determine reasonable accommodations for this course. For more information, visit http://step.bilgi.edu.tr/en/ogrenci-destek-merkezi/bilgi-accessible-education-unit/