Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits
2	EEM 110	Linear Algebra and Vector Analysis	4+0+0	4	6

Course Details

Language of Instruction	English
Level of Course Unit	Bachelor's Degree
Department / Program	Electrical and Electronics Engineering
Mode of Delivery	Face to Face
Type of Course Unit	Compulsory
Objectives of the Course	To teach linear system, dederminant, matrix, eigenvalues and eigenvectors, vector spaces and elements of linear operators theory.
Course Content	Indefinite integral, definite integral, applications of integral, multivariable functions
Course Methods and Techniques
Prerequisites and co-requisities	None
Course Coordinator	Asist Prof.Dr. Hamza Feza Carlak
Name of Lecturers	Associate Prof.Dr. HAMZA FEZA CARLAK
Assistants	None
Work Placement(s)	No

Recommended or Required Reading

Resources	Matematik, Mustafa Balcı, Balcı Yayınları, 1999. Finney, R.L., Thomas’s Calculus, Boston: Pearson Addison Wesley, 2001 Ö.Faruk Gözükızıl, Lineer Cebir problemleri, Sakarya, 200. İ.M. Gelfand, Lectures on Linear Algebra, Nauka, Moskova, 1971(Rus.)

Course Category

Mathematics and Basic Sciences	%50
Engineering	%40
Engineering Design	%10

Planned Learning Activities and Teaching Methods

Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration	Total Work Load
Course Duration	14	4	56
Hours for off-the-c.r.stud	14	4	56
Assignments	2	9	18
Mid-terms	1	15	15
Final examination	1	15	15
Total Work Load			Number of ECTS Credits 5 160

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning Outcomes
1	Definition of Linear System and Understanding of Solution Methods
2	Matrix Operations, Determination of Eigenvalues and Eigenvectors
3	Assessment of Determinant Calculation Methods
4	Understanding Vector and Scalar Operations
5	The Operations of Gradient, Divergence and Curl
6	Performing Derivative and Integral Operations on Vectors

Weekly Detailed Course Contents

Week	Topics	Study Materials	Materials
1	Indefinite integral, principles of indefinite integral, method of change of variable, method of integration by part.
2	Taylor and Maclaurin Series. Newton’, s method. Elements of the analytic geometry
3	Second degree curves. Area of surface of revolution
4	Volume of a solid of revolution.
5	Vectors in the plane. The Dot Product. Vector functions
6	Velocity and the unit tangent vector.
7	The unit normal vector, curvature and acceleration. Vectors in space. Cross Product. Space curves.
8	Vector functions in space. Functions of several variables. Limit and continuity.
9	Partial derivatives and differentiability. The Chain Rule. Directional derivative and gradient.
10	Extremal problems. Double integrals
11	Triple integrals. Line integrals.
12	Fundamental theorem of line integrals. Surface integrals
13	Green’, s Theorem. Change of variables in multiple integrals.
14	The Divergence Theorem. The Stokes Theorem. Elementary PDE’, s.

Contribution of Learning Outcomes to Programme Outcomes

bbb

https://obs.akdeniz.edu.tr/oibs/bologna/progCourseDetails.aspx?curCourse=2429190&lang=en