**Semester:** **Fall 2017 – 2018**

**Instructors:**

**Nurgül GÖKGÖZ KÜÇÜKSAKALLI**

**Section 1:**

**Monday 16:20-17:10 (H130)**

**Wednesday 15:20-17:10 (H130)**

**Office Hours**:

** Monday 15:20-16:10**

** Wednesday 12:20-13:10**

**Office R-205**

**Erkan Murat TÜRKAN**

**Section 2:**

**Tuesday 09:20-11:10 (H129)**

**Wednesday 16:20-17:10 (H129)**

**Office Hours**:

**Monday 10:20-11:00**

**Tuesday 11:30-12:10**

**Wednesday 10:20-11:00**

**Office R-216**

**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 (Cramers 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. Homogeneos 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: **Two midterm examinations (30% each), one final examination (40%), Bonus from attendence (5%)

Midterm 1: 30 October 2017, 17:20

Midterm 2: 4 December 2017, 17:20

Final :TBA

Make-Up: TBA

Resit: TBA