AS

# 18AS824: Optimization Techniques AS Syllabus for BE 8th Sem 2018 Scheme VTU (Professional Elective-4)

Optimization Techniques detailed Syllabus for Aerospace Engineering (AS), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Subject Names, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information, visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.

For all the other VTU AS 8th Sem Syllabus for BE 2018 Scheme, visit Aerospace Engineering 8th Sem 2018 Scheme.

For all the (Professional Elective-4) subjects refer to Professional Elective-4 Scheme. The detail syllabus for optimization techniques is as follows.

#### Course Objectives:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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#### Module 1

Introduction: Non-linear programming. Mathematical fundamentals. Numerical evaluation of gradient. Unconstrained Optimisation: One dimensional, single variable optimization. Maximum of a function. Unimodal-Fibonacci method. Polynomial based methods.

#### Module 2

Unconstrained Minimization: Multivariable functions. Necessary and sufficient conditions for optimality. Convexity. Steepest Descent Method -Convergence Characteristics. Conjugate Gradient Method. Linear programming -Simplex Method.

#### Module 3

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
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#### Module 4

Direct Search Methods: Direct search methods for nonlinear optimization. Cyclic coordinate search. Hooke and Jeeves Pattern search method. Generic algorithm. Discrete and Dynamic Programming: Integer and discrete programming. Branch and bound algorithm for mixed integers. General definition of dynamic programming problem. Problem modeling and computer implementation. Shortest path problem

#### Module 5

Optimisation Application: Transportation problem. Transportation simplex method. Network problems. Maximum flow in net works. General definition of dynamic programming. Problem modeling and computer implementation. Finite Element Based Optimisation : Parameter optimization using gradient methods -Derivative calculation. Shape optimisation. Topology optimisation of continuum structures.

#### Course Outcomes:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
.

#### Question paper pattern:

• The question paper will have ten full questions carrying equal marks.
• Each full question will be for 20 marks.
• There will be two full questions (with a maximum of four sub- questions) from each module.
• Each full question will have sub- question covering all the topics under a module.
• The students will have to answer five full questions, selecting one full question from each module.

#### Text Books:

1. Optimisation Concepts and Applications in Engineering Ashok D Belegundu and Tirupathi R . Chandrupatla Pearson Education 2003
2. Practical Methods of Optimisation Fletcher, R Wiley, New York 2nd Edition, 2009

#### Reference Books:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdfs platform to make students’s lives easier.
.

For the detail Syllabus of all other subjects of BE (AS) 8th Sem, visit Aerospace Engineering 8th Sem Subjects.

For all (CBSE & Non-CBSC) BE/B.Tech results, visit VTU BE/B.Tech all semester results.