# VTU B.TECH Aeronautical-Engineering 2nd year SEMESTER – VI Syllabus For Numerical methods PDF 2022

### Get Complete Lecture Notes for Numerical methods on Cynohub APP

You will be able to find information about Numerical methods along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Numerical methods after reading this blog. Numerical methods has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Numerical methods can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.

All of the Topic and subtopics related to Numerical methods are mentioned below in detail. If you are having a hard time understanding Numerical methods or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.

### Numerical methods Unit One

#### Module-1

Numerical Computation Motivation and Objectives/ Number Representation/ Machine Precision/ Round-of Error/ Truncation Error/Random Number Generation.Linear Algebraic Systems: Motivation and Objectives/ Gauss-Jordan Elimination/Gaussian Elimination/LU Decomposition/ III- Conditioned Systems/ Iterative Methods.

### Numerical methods Unit Two

#### Module-2

Interpolation and Approximation Lagrangian Polynomials – Divided differences Interpolating with a cubic spline – Newton’s forward and backward difference formulas. Eigen Values and Eigenvectors Motivation and Objectives/ The characteristics Polynominal/ Power Methods / Jacobi’s Method/ Householder Transformation/ QR Method/ Danilevsky’s Method/ Polynominal Roots.

### Numerical methods Unit Three

#### Numerical Differentiation and Integration

Derivative from difference tables – Divided differences and finite differences – Numerical integration by trapezoidal and Simpson’s 1/3 and 3/8 rules – Two and Three point Gaussian quadrature formulas – Double integrals using trapezoidal and Simpson’s rules.

### Numerical methods Unit Four

#### Curve Fitting

Motivation and objectives/ Interpolation/ Newton’s Difference Formula/ Cubic Splines/ Least Square/ Two-Dimensional Interpolation.

### Numerical methods Unit Five

#### Module-5

Root Finding Motivation and Objectives/ Bracketing methods/ Contraction Mapping Method/ Secant Method/ Muller’s Method/ Newton’s Method/ Polynomial Roots/ Nonlinear Systems of Equations. Optimization Motivation and Objectives/ Local and Global Minima/ Line Searches/ Steepest Descent Method/ Conjugate-Gradient Method/ Quasi-Newton Methods/ Penalty Functions/ Simulated Annealing.

### Numerical methods Course Objectives

Comprehend the basic concepts of numerical methods.•Acquire the knowledge of interpolation and approximation. •Understand about the curve fitting, root finding and optimization

### Numerical methods Course Outcomes

At the end of the course the student will be able to:1.CO1: Apply the basic concepts of numerical methods.2.CO2: Compute the Eigen values, Eigen vectors, numerical differentiation and integration. 3.CO3: Perform the curve fitting and root finding.

### Numerical methods Text Books

Applied Numerical methods for Engineers Using Mat Lab and C-Robert Schilling and Sandra Harris
Applied Numerical Analysis-Gerald and Wheatley

### Numerical methods Reference Books

Numerical Methods: For Scientific and Engineering Computation-Mahinder Kumar Jain
Numerical Methods for Engineering and Science-Rajesh Srivastava and Saumyen
Guha
Numerical Methods-P. Kandasamy, K. Thilagavathy and K. Gunavathi

### Scoring Marks in Numerical methods

Information about VTU B.Tech Numerical methods was provided in detail in this article. To know more about the syllabus of other Engineering Subjects of JNTUH check out the official CynoHub application. Click below to download the CynoHub application.

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