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# KTU B.Tech S5 Syllabus Aeronautical Engineering

## KTU B.Tech S5 Syllabus Aeronautical Engineering

#### AO367 NUMERICAL PROGRAMMING

MODULE I

Matlab and Solving Equations – Vectors, Functions, and Plots in Matlab-Matlab Programs
Newton’s Method and Loops Controlling Error and Conditional Statements The Bisection Method and Locating Roots – Secant Methods -Computation.Matlab and Solving Equations – Vectors, Functions, and Plots in Matlab-Matlab Programs
Newton’s Method and Loops Controlling Error and Conditional Statements The Bisection Method and Locating Roots – Secant Methods -Computation.

MODULE II

Linear Algebra – Matrices and Matrix Operations in Matlab ,Introduction to Linear Systems – Accuracy, Condition Numbers and Pivoting, LU Decomposition – Nonlinear Systems – Newton’s Method ,Eigenvalues and Eigenvectors – Application of Eigenvectors:Vibrational Modes.Linear Algebra – Matrices and Matrix Operations in Matlab ,Introduction to Linear Systems – Accuracy, Condition Numbers and Pivoting, LU Decomposition – Nonlinear Systems – Newton’s Method ,Eigenvalues and Eigenvectors – Application of Eigenvectors:Vibrational Modes

FIRST INTERNAL EXAMINATION

MODULE III

Functions and Data – Polynomial and Spline Interpolation Least Squares Fitting: Noisy Data – Integration: Left, Right and Trapezoid Rules,Midpoint and Simpson’s Rules – Plotting Functions of Two
Variables,Double Integrals for Rectangles – Double Integrals for Nonrectangles- Gaussian Quadrature

SECOND INTERNAL EXAM
MODULE  V
Finite Difference Method – Nonlinear ODE – Parabolic PDEs ,Explicit Method – Solution Instability for the Explicit Method -Implicit Methods,Insulated Boundary Conditions – Finite Difference Method for
Elliptic PDEs,Convection-Diffusion Equations – Determining Internal Node,Values

MODULE VI
Floating point arithmetic, linear systems, nonlinear equations ,Eigen value and Eigen vector problems, interpolation and polynomial approximation, basics of iterative methods.numerical methods for ordinary differential equations, numerical optimization,numerical methods for partial differential equations, numerical
integration, engineering applications

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