Numerical Methods

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About Course

  • To introduce the basic concepts of solving algebraic and transcendental equations.
  • To  introduce  the  numerical  techniques of interpolation in various intervals in real life situations.
  • To acquaint the student with understanding of numerical techniques of differentiation and integration which plays an important role in engineering and technology disciplines.
  • To acquaint the knowledge of various techniques and methods of solving ordinary differential equations.
  • To understand the knowledge of various techniques and methods of solving various types of partial differential equations.
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What Will You Learn?

  • Understand the basic concepts and techniques of solving algebraic and transcendental equations.
  • Appreciate the numerical techniques of interpolation and error approximations in various intervals in real life situations.
  • Apply the numerical techniques of differentiation and integration for engineering problems.
  • Understand the knowledge of various techniques and methods for solving first and second order ordinary differential equations.
  • Solve the partial and ordinary differential equations with initial and boundary conditions by using certain techniques with engineering applications.

Course Content

NUMERICAL METHODS

  • Lesson 1-SOLUTION OF EQUATIONS AND EIGENVALUE PROBLEMS
  • Lesson 2-INTERPOLATION AND APPROXIMATION
  • Lesson 3-NUMERICAL DIFFERENTIATION AND INTEGRATION
  • Lesson 4-INITIAL VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
  • Lesson 5-BOUNDARY VALUE PROBLEMS IN ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS