Class: 3rd Numerical Methods

Mandatory

Class: 3^rd

Numerical Methods

CH 543

Teaching scheme: 2 hours lecture per week Credits: 5

Course description
Computer-oriented numerical methods for scientific problems. Topics include error analysis, Taylor series, solutions of equations, linear simultaneous equations, and interpolation.
This course also includes: Roots of non-linear equations: Newton-Raphson, secant methods, Solutions of linear systems: Gauss, Gauss-Jordan elimination, matrix inversion, Eigenvalues and eigenvectors, applications, Integration and discrete summations: Trapezoidal, Simpson, Romberg method, Gauss method, multiple integral, Solutions of ODE: initial value and boundary value problems, Euler’s and Runge-Kutta methods
Objectives:

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  To impart the basic concepts of numerical analysis
  
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  To develop understanding about numerical solutions for chemical engineering problems.
  

Specific learning Outcomes

• 
  Recognize when numerical methods can be employed to solve problems in mathematics
  
• 
  Apply numerical methods in solving systems of linear equations
  
• 
  Solve initial-value problems in ordinary differential equations
  
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  Estimate eigenvalues and eigenvectors
  
• 
  Use mathematical packages to complement and apply the topics encountered
  

No	Topic	Hours