ENGINEERING MATHEMATICS III
SH 501
Lecture : 3Year : II
Tutorial : 2
Part : I
Practical : 0
Course Objective:
The purpose of this course is to round out the students’ preparation for more sophisticated applications with an introduction to linear algebra, Fourier Series, Laplace Transforms, integral transformation theorems and linear programming.
1. Determinants and Matrices (11 hours)
1.1. Determinant and its properties
1.2. Solution of system of linear equations
1.3. Algebra of matrices
1.4. Complex matrices
1.5. Rank of matrices
1.6. System of linear equations
1.7. Vector spaces
1.8. Linear transformations
1.9. Eigen value and Eigen vectors
1.10. The Cayley-Hamilton theorem and its uses
1.11. Diagonalization of matrices and its applications
