**Semester:** **2018 - 2019 Fall**

**Instructors:**** ****Dr. Inst. Özlem DEFTERLÄ° (Section 01 & 02) **

**(Office: R220) ;**

**Dr. Inst. Emre SERMUTLU (Section 03)**

**(Office: R201)**** **

**Catalogue 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. 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 1 (30%), Midterm 2 (30%), Final (40%), Bonus from Attendance (5%)

**Exam Dates: **

**Midterm 1: **08.11.2018, Thursday, 17:30

**Midterm 2: **13.12.2018, Thursday, 17:30

**Final: **TBA

**Rules:** - **Attendance will be taken in each class.**

**Warning: - Students are responsible for checking this web page regularly for announcements and other course info.**