## Course Detail

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

### Syllabus

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

Objectives

• 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

 PO/PSO/ CO 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

Textbook(s)

• 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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