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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
CENG 203LINEAR ALGEBRA3 + 03rd Semester5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective Purpose of this course is to teach fundamental concepts of Linear Algebra and basic calculations.
Course Content Vectors, vector spaces, vector and scalar multiplications. Equations of lines ans planes. Systems of linear equations and matrices. Matrix operations, inverse matrices, special matrices. Determinants, determinants by cofactor expansion and by row reduction. Cramer’s rule. Inner product spaces, eigenvalues and eigenvectors. Matrix diagonalization . Linear transformations, isomorphisms, composition and inverse transformations. Matrices and linear transformations.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Lists matrix operations
2Explains concept of vector space
3Defines linear dependence and independence
4Defines basis vectors and concept of spanning
5Recognizes eigenvectors and eigenvalues
6Explains linear transformations

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12
LO 001552   233  2
LO 002552   233  2
LO 003552   233  2
LO 004552   233  2
LO 005552   233  2
LO 006552   233  2
Sub Total303012   121818  12
Contribution552000233002

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14342
Assignments3412
Mid-terms11616
Final examination11818
Total Work Load

ECTS Credit of the Course






130

5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2013-2014 Fall1NECDET GÜNER
Details 2013-2014 Fall2NECDET GÜNER


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
CENG 203 LINEAR ALGEBRA 3 + 0 1 English 2013-2014 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. NECDET GÜNER nguner@pau.edu.tr MUH A0005 %75
Goals Purpose of this course is to teach fundamental concepts of Linear Algebra and basic calculations.
Content Vectors, vector spaces, vector and scalar multiplications. Equations of lines ans planes. Systems of linear equations and matrices. Matrix operations, inverse matrices, special matrices. Determinants, determinants by cofactor expansion and by row reduction. Cramer’s rule. Inner product spaces, eigenvalues and eigenvectors. Matrix diagonalization . Linear transformations, isomorphisms, composition and inverse transformations. Matrices and linear transformations.
Topics
WeeksTopics
1 Introduction to vectors.(1.1, 1.2, 1.3) Lengths and dot product. Matrices.
2 Solving Linear Equations. (2.1, 2.2., 2.3, 2.4)Gauss-Jordan
3 Solving Linear Equations. (2.4, 2.5, 2.6, 2.7)A=LU factorization.
4 Vector Spaces and Subspaces. (3.1, 3.2, 3.3)
5 Vector Spaces and Subspaces. (3.4, 3.5, 3.6)
6 Orthogonality.(4.1, 4.2) Projection.
7 Orthogonality. (4.3, 4.4) Gram-Schmidt
8 Determinants.(5.1, 5.2, 5.3)
9 General review for midterm exam.
10 Eigenvalues and Eigenvectors.(6.1,6.2,6.3) Diagonalizing a matriz.
11 Eigenvalues and Eigenvectors.(6.4, 6.5, 6.6, 6.7)Symmetric and similar matrices.
12 Linear Transformations. (6.7, 7.1)
13 Linear Transformations. (7.1, 7.2, 7.3)
14 General review for final exam
Materials
Materials are not specified.
Resources
ResourcesResources Language
Introduction to Linear Algebra, Gilbert Strang, 4th ed.English
Elementary Linear Algebra, Howard Anton & Chris Rorres, 10th ed.English
Lineer Cebir, Schaum's Outlines, Seymur Lipschutz (Hilmi Hacısalihoğlu)Türkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes