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Course Detail

Course Name Numerical Computing
Course Code 19MAT211
Program B. Tech. in Aerospace Engineering
Semester Four
Year Taught 2019


Introduction to programming in MATLAB, examples. Error definitions, Taylor series and error propagation. (6hrs)

Roots of equations – Bisection method, fixed point iteration, Newton-Raphson method, secant method, systems of nonlinear equations. Numerical linear algebra – Gauss elimination, LU decomposition, matric inversion, power method for finding eigen values, QR factorisation. (11 hrs)

Curve Fitting – Linear regression, polynomial regression, nonlinear regression, Newton’s divided difference interpolation, Lagrange interpolation. (8 hrs)

Numerical Integration and Differentiation – Trapezoidal rules, Simpson’s rules, Newton-Cotes algorithm, Gauss quadrature, high accuracy differentiation formulas, Richardson extrapolation, partial derivatives. (8 hrs)

Objectives and Outcomes


  • To familiarize different numerical methods to solve engineering problems.
  • To write computer programs and use toolboxes in the software packages.
  • To select a specific numerical method to solve practical problems.

Course Outcomes

  • CO1: Solve linear and nonlinear algebraic equations and systems of nonlinear equations using numerical. techniques.
  • CO2: Use regression and interpolation methods for curve fitting.
  • CO3: Select and apply numerical schemes for differentiating and integrating complicated functions
  • CO4: Apply computational schemes for solving systems of ordinary differential equations.
  • CO5: Solve PDEs by numerical methods

CO – PO Mapping



PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12
CO1 3 2 2
CO2 3 3 2
CO3 2 2 3
CO4 3 2 2
CO5 2 2 3

Textbook / References


  • Numerical Methods for Engineers, Steven Chapra and Raymond Canale, 7th Edition, McGraw Hill, 2015.
  • Applied Numerical Analysis, LaureneFausett, 2nd Edition, Pearson, 2008.
  • Advanced Engineering Mathematics, Erwin Kreyszig, 10th Edition, Wiley, 2015.

Evaluation Pattern

Assessment Internal External
Periodical 1 15
Periodical 2 15
*Continuous Assessment (CA) 20
End Semester 50
*CA – Can be Quizzes, Assignment, Projects, and Reports.

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