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

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12
LO 01552   233  2
LO 02552   233  2
LO 03552   233  2
LO 04552   233  2
LO 05552   233  2
LO 06552   233  2
Sub Total303012   121818  12
Contribution552000233002

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

ECTS Credit of the Course

130

5

COURSE DETAILS
Select Year

Course TermNoInstructors
Details 2014-2015 Fall1NECDET GÜNER

Course Details
Course Code:  CENG 203 Course Title:  LINEAR ALGEBRA
L+P Hour : 3 + 0   Course Code : 1   Language Of Instruction: Turkish Course Semester :  2014-2015 Fall
Course Coordinator :  PROFESSOR NECDET GÜNER E-Mail:  nguner@pau.edu.tr Phone Number :
Course Location MUH A02151,
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.
Attendance : %75
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 4th Ed.(İlker AKKUŞ)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