Numerical Methods I

Learning Outcomes

At the end of this course, students will be able to : Describe various numerical methods which are used to solve mathematics problems; Use numerical methods to solve business problems; Solve mathematics equations using certain numerical methods; Select effective numerical methods and computer program to solve mathematics equations

Topics

1. Analytical methods versus numerical methods
2. Taylor series and Galat analysis
3. Numerical approximation to solution of Non-linear equations
4. Numerical approximation to solution of polynomial equations
5. Numerical approximation to solution of linear equations
6. Numerical approximation for functions
7. Numerical approximation for integration
8. Numerical approximation for derivatives function
9. Numerical approximation to solution of differential equations
10. Numerical approximation to solution of first order differential equations
11. Numerical approximation to solution of second order linear ordinary differential equations
12. Solution of mathematics problems with numerical approximation with computer program