Courses Catalogue

Linear Algebra I

COURSE CODE: MAT1104
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Education (Mathematics) - B.Ed
COLLEGE/SCHOOL/FACULTY: College of Education, Open and Distance Learning
STATUS: Elective
PROGRAMME TYPE: Undergraduate

Course Content and Outline

COURSE CONTENT

  • Solving systems of equations: algebraically and geometrically.
  • Introduction to Matrix Algebra. System of equations in the matrix notation. Gauss-Jordan elimination 
  • Row echelon form for a rectangular matrix. Computing the inverse matrix using row operations. Odd and even permutations.
  • The determinant. Row and column operations on determinants. Ranks. Determinant of the transpose matrix. Minors. Cofactors. Adjoint matrix.
  • Computing the inverse matrix using determinants. Cramer's rule for systems with the same number of equations and unknowns.
  • The geometry and algebra of vectors. Defining and representing vectors. Dot-product, projections. Cross products, scalar vector, line and plane equations.

MODE OF DELIVERY

·      Lecture and discussion

·      Group discussion

·      Reading and problem assignments

INSTRUCTIONAL MATERIALS/EQUIPMENT

  • Whiteboard and Markers
  • Flip Charts
  • LCD Projectors
  • CDs, DVDs and Tapes