To teach basic concepts of linear algebra for engineering students.
Prerequisite(s)

Corequisite(s)

Special Requisite(s)

Instructor(s)
Professor SONGÜL ESİN, Assist. Prof. Dr. CANAN AKKOYUNLU
Course Assistant(s)

Schedule
Prof. Dr. Songül Esin: SectionA Monday 9:0010:45 , Wednesday 13:0014:45
Dr. Öğr. Üyesi Canan AKKOYUNLU: SectionB Monday 11:0012:45 , Wednesday 09:0010:45
SectionC Monday 13:0014:45 , Wednesday 11:0012:45
Office Hour(s)
Prof. Dr. Songül Esin: Monday 11:0012:00
Dr. Öğr. Üyesi Canan AKKOYUNLU: Monday 15:0016:00
Teaching Methods and Techniques
Lecture, discussion
Principle Sources
H.AntonC.Rorres, 11th Edition, Elementary Linear Algebra , Jhon Wiley&sons,Inc.(2014),ISBN 9781118434413.
Other Sources
KolmanDr.Hill, Elementary Linear Algebra with Aplications, Pearson International Edition, 9/E(2013), ISBN 0131350633.
B.KolmanDr.Hill, Introductory Linear Algebra, PrenticeHall (2005), ISBN 0131277731
FraleighBeauregard, Linear Algebra, AddisonWesley (1995).
 E.M.LandesmanM.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,PrenticeHall,Inc(1992)
S. Lipschutz, M. Lipson, Schaum’s Outline of Linear Algebra, Mc GrawHill Companies,The Pub.Date: December 2000,ISBN13:9780071362009.
Course Schedules
Week
Contents
Learning Methods
1. Week
Introduction to Linear Systems
Oral and written presentation
2. Week
Gaussian Elimination and GaussJordan Elimination
Oral and written presentation
3. Week
Algebraic Properties of Matrix Operations, Special Types of Matrices
Oral and written presentation
4. Week
Matrices; Matrix Operations, Row Echelon Form of a Matrix
Oral and written presentation
5. Week
Elementary Matrices and Finding the Inverse of aMatrix by Using Elementary Operations
Oral and written presentation
6. Week
Determinants; Definition and Properties of Determinants
Oral and written presentation
7. Week
Cofactor Expansion; Finding Inverses by Using Cofactors
Oral and written presentation
8. Week
Cramer’s Rule; Rank of a Matrix
Oral and written presentation
9. Week
Vector Spaces: Definition; Subspaces
Oral and written presentation
10. Week
Span and Linear Independence
Oral and written presentation
11. Week
Basis and Dimensions, Coordinates, Inner Product Spaces
Oral and written presentation
12. Week
Eigenvalues and Eigenvectors
Oral and written presentation
13. Week
Diagonalization and Similar Matrices
Oral and written presentation
14. Week
Linear Transformation
Oral and written presentation
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in the solution of complex engineering problems.
PO2
Ability to formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO3
Ability to design a complex systemi process, device or product under realistic constraints and conditions, in such a way as to meet the desired results; ability to apply modern design methods for this purpose.
PO4
Ability to select and use modern techniques and tools needed for analyzing and Solving complex problems encountered in engineering practice; ability to employ information technologies effectively.
PO5
Ability to design and conduct experiments, gather data, analyze and interpret results for investing complex engineering problems or discipline specific research questions.
PO6
Ability to work efficiently in intradisciplinary and multidisciplinary teams; ability to work individually.
PO7
Ability to communicate effectivley, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instruction.
PO8
Awareness of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO9
Knowledge on behavior according ethical principles, professional and ethical responsibility and standards used in engineering practices.
PO10
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development.
PO11
Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO1
Recognize special type of matrices and perform the Matrix operations. (KNOWLEDGE)
LO2
Solve linear systems by GaussJordan reduction. (KNOWLEDGE)
LO3
Find the transpose, inverse, rank and adjoint of a matrix. (KNOWLEDGE)
LO4
Calculate determinants using row operations, column operations, and cofactor expansion along any row ( or column). (KNOWLEDGE)
LO5
Solve linear systems by Cramer’s rule. (KNOWLEDGE)
LO6
Prove algebraic statements about vector addition, scalar multiplication, linear independence, spanning sets, subspaces, bases, and dimension. (KNOWLEDGE)
LO7
Calculate eigenvalues and their corresponding eigenvectors of a square matrix. (KNOWLEDGE)
LO8
Prove the properties of eigenvalues and eigenvectors. (KNOWLEDGE)
LO9
Determine if a matrix is diagonalizable, and if it is, diagonalize it. (KNOWLEDGE)
LO10
Prove statements about linear transformations. (KNOWLEDGE)