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Department of Mathematics ISLAMIC UNIVERSITY OF GAZA MATHA 2311, Linear Algebra (1) Semester: Second 2015 Total Credits: 3 credit hours. Course Description: The course deals with the following topics: System of linear equations Algebra of matrices Determinants Euclidean vector spaces General vector spaces Eigenvalues and Eigenvectors. Linear transformations Prerequisite: Calculus (2) Professor: Dr. Ahmed EL-Mabhouh Office: Phone: Office Hours: Saturday, Wednesday 11:00-12:00 , Monday 14-15 Sunday, Tuesday 11:00-12:00 Email.: mabhouh@mail.iugaza.edu Textbooks: Elementary Linear Algebra, 9th Edition by Howard Anton. Reference: Linear Algebra, 2nd Edition, by Kenneth Hoffman and Ray Kunze Introductory Linear Algebra with applications, 2nd Edition by Bernard Kolman Course Aims: To introduce system of linear equations and provide methods for solving these systems. To introduce real vector spaces and to investigate linear independence, leading to the study of bases and dimensions. To introduce determinants and explore some of their applications. To introduce linear transformations and its representation by matrices in the finite dimension case. To introduce eigenvalues and eigenvectors and explore some of their applications. Course Intended Learning Outcomes : Knowledge of basis definitions and theorems about linear algebra. Solving systems of linear equations using different methods. Perform the arithmetic operations of matrices. Verify that a given set is a vector space. Calculate the determinant of a square matrix. Verify that a given set of vectors is linearly independent. Find basis and dimension of a finite dimensional vector space. Calculate the rank and nullity of a given matrix. Calculate the eigenvalues and eigenvectors of a given matrix. Verify that a given matrix is similar to a diagonal matrix. Define linear transformation. Find the kernel and range for a linear transformation. Calculate the matrix representing a linear transformation. Grading: Grades will be determined as Follows: Homework and Quizzes 10% First Midterm 20% Second Midterm 20% Final Exam 50% There will be weakly homeworks or quizzes consisting of textbook exercises. Course Outlines: Systems of linear equations and matrices (3 weesk) Determinants (2 weeks) Vector spaces (4 weeks Eigenvalues and Eigenvectors (2 weeks Linear Transformations (3 weeks) Review (1 weeks) ======================================================================