Semester: 2024 - 2025 Spring
Instructors: Assoc. Prof. Dr. Özlem DEFTERLÄ°
Office Hours: Monday 11:20-12:10 & Tuesday 11:20-12:10 (R220)
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: Midterm 40%, Final 60%
Attendance is compulsory!! ( A minimum % of 50 participation in all classes through the semester is an eligibility criterion to attend the Final Examination!! This criterion is valid for the students taking the course newly and who failed earlier with the NA grade )
Exam Dates:
Midterm Exam: 10.04.2025, Thursday 17:20.
Exam Places: (w.r.t. Surnames) NB02 (AKAY--DERMANLI), NA01 (DÄ°NÇ--Ä°YÄ°CÄ°), Amfi 2 (KAÄžBA--PEHLÄ°VAN), Amfi 3 (SAÄžLIK--ZENGÄ°NBAL)
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: 28.05.2025, 15:00
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.
Midterm Make-Up Exam: 23.05.2025 at 13:30
Final Make-Up Exam: 16.06.2025 at 10:00
(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!)