Semester: 2023 - 2024 Spring
Instructors: Assoc. Prof. Dr. Özlem Defterli
Office Hours: Monday 11.20-12.10 & Wednesday 10.20-11.10
Catalog Description: Systems of linear equations. Matrices. Algebraic properties of matrix operations. Special types of matrices. Echelon form of a matrix. Solving linear systems by Gauss-Jordan reduction. Finding the inverse of a matrix by row reduction. Equivalent matrices. Determinants. Properties of determinants. Cofactor expansion. The inverse of a matrix (via its determinant). Other applications of determinants (Cramer's rule). Vectors in the plane and in 3-space. Vector spaces. Subspaces. Span and linear independence. Basis and dimension. Row space. Null space. Nullity and rank of a matrix. Homogeneous systems. Change of basis. Transition matrices. Orthogonalization. Linear transformations. Kernel and range of a linear transformation.
Textbook: Elementary Linear Algebra with Applications, 9th ed., B. Kolman and D. R. Hill, Pearson, 2008.
Reference Book: Elementary Linear Algebra with Supplemental Applications, International Student Version, 10th ed., H. Anton and C. Rorres, Wiley, 2010.
Evaluation Criteria: 10% Attendance, 40% Midterm, 50% Final
Attendance is compulsory for all students!! (You are required to participate a minimum of 50% of the total number of lectures throughout the semester to be considered in the evaluation of attendance grading.)
Exam Dates:
Midterm Exam: 27.03.2024 Wednesday 09:30.
Exam Places: (wrt Surnames) NA01: Abanoz--CoÅŸkun, NA02: Çalık--Kaptan, NA06: Karabudak--Kuntker, NB02: Küçük--Waheed, NB06: YaÄŸci--Yüceer.
Midterm Content: From Textbook: Ch 1 (Linear equations and Matrices): 1.1-1.5; Ch 2 (Solving Linear Systems): 2.1- 2.4; Ch 3 (Determinant): 3.1-3.5.
Note!! Chapter numbers can be different in textbooks based on the edition of the book but the title and content of chapters and sections are the same.
FINAL: TBA
Exam Places: TBA
Final Exam Content: From Textbook: Ch 4 (Real Vector Spaces): 4.2-4.8(not transition matrices!) & 4.9; Ch 5 (Inner Product Spaces): 5.1, 5.3, 5.4; Ch 6 (Linear Transformations): 6.1, 6.2.
MakeUp Exam: Midterm MakeUp: 24.05.2024 Friday 11:20 (You have to apply earlier by an official petition (with proof of your excuse) to enter the makeup exam !! Check with your instructor in advance whether you are on the list of make-up students or not!)