Math 423

Main text book
R. Burden, and J. D. Faires, Numerical Analysis, PWS-Kent Publishers, 8^th.edition.

6. Direct Methods for Solving Linear Systems 

5. Initial-Value Problems for Ordinary Differential Equations 

6.1 Linear Systems of Equations 
6.3 Linear Algebra and Matrix Inversion
6.4 The Determinant of a Matrix
6.5 Matrix Factorization

6.6 Special Types of Matrices

5.1 The Elementary Theory of Initial-Value Problems
5.2 Euler's Method 
5.3 Higher-Order Taylor Methods
5.4 Runge-Kutta Methods
5.9 Higher-Order Equations and Systems of Differential Equations

8. Approximation Theory 

7. Iterative Techniques in Matrix Algebra

               8.2 Orthogonal Polynomials and Least Squares Approximation 

7.1 Norms of Vectors and Matrices  

7.2 Eigenvalues and Eigenvectors 
 

9. Approximating Eigenvalues

 9.1 Linear Algebra and Eigenvalues 
9.2 The Power Method