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Basic Details:

  • Course Code: EM 316
  • Credits: 2
  • Pre-requisites: EM211, EM212
  • Compulsory/Optional: Compulsory for Electrical and Electronic Engineering specialization Electrical and Electronic Engineering
    specialization

Aim :

To provide a fundamental understanding of the properties of different numerical methods so as to be able to choose appropriate methods and interpret the results in solving problems.

Intended Learning Outcomes:

On successful completion of the course, the students should be able to; 

  • Apply appropriate numerical methods for solving problems.
  • Analyze errors arising in numerical computation.
  • Assess the reliability of the numerical results.

Couse Content:

Fixed point and floating point, truncation and round off errors, error propagation through arithmetic operations, Taylor theorem and its applications in approximation and error analysis.

Contraction mapping theorem, fixed point iteration, Secant method; Newton Raphson method, applications in computing zeros and extreme points of nonlinear equations in one variable.

Gaussian elimination and back substitution, iterative methods, power method for eigenvectors and eigenvalues.

Linear and polynomial Interpolation, curve fitting, Lagrange Interpolation, splines.

Numerical computation of derivatives, rectangular, trapezoidal and Simpson's rules for numerical integration.

Implicit and explicit Euler method, fixed step methods, Runge- Kutta method for solving IVP, finite difference method for solving BVP.

Solving and finding extreme points of nonlinear systems of equations.

Time Allocation (Hours):

Lectures
0
Tutorials
0

Recommended Texts:

  • Steven Chapra and Raymond Canale, Numerical Methods for Engineers, 7th edition, 2014, McGraw–Hill.
  • Ackleh et al.,Classical and Modern Numerical Analysis, 2009, Chapman and Hall/CRC.

Assessment:

In - course:

Tutorials/Assignments/Quizzes
20%
Mid Semester Examination
30%

End-semester:

50%