0366.1119.04 INTRODUCTION TO ALGEBRA I

Lecturer:
Dany Leviatan
Winter Semester 2001.
Time and place:
Sunday 8.00-10.00 in Schreiber 007
Wedensday 10.00-11.00 in Schreiber 007

Grade: An examination at the end of the semester

The syllabus of the course

  1. LINEAR EQUATIONS AND MATRICES
    Field; Systems of linear equations; Solutions; Matrices; Square matrices; Elementary matrices; Invertible matrices.
  2. VECTOR SPACES
    Linear vector spaces over R and over C; Subspaces; Basis and dimension.
  3. TRANSFORMATIONS AND MATRICES
    Linear transformations between vector spaces; Relations between transformations and matrices; Determinants.
  4. SCALAR PRODUCT
    Scalar product; length; orthogonality.
Recommended bibliography:
  1. Open University- Linear Algebra 1. (in Hebrew)
  2. A. Berman and B. Kuhn Linear Algebra . (in Hebrew)
  3. Kenneth Hoffman and Ray Kunze Linear Algebra.
  4. Schaum's series- Linear Algebra.
  5. Bernard Kolman Introductory Linear Algebra with Applications.