Semester: Spring 2011-2012

Instructor: Raziye Mert

Schedule:  Monday 14:40-15:30 (RA03), Friday 13:40-15:30 (RB02)

Office Hours:  Wednesday 9:40-11:00,14:40-15:30

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%)

Exam Dates

Midterm 1: March 23, 2012 at 13:40.

Exam place: NA06

Midterm 2:  May 4, 2012 at 13:40.

Exam place: NA06