In this article subject code MA3301 deals with the Fourier Series And Linear Programming Syllabus of Anna University B.Tech Agricultural Engineering syllabus, Regulation 2021. This will help you to understand the academic syllabus well in one place.
We include the unit-wise syllabus in this article MA3301 – Fourier Series And Linear Programming Syllabus, to help the students get a detailed syllabus of this subject. Having a good knowledge of the topics in the syllabus of this subject, helps you to make your effective notes and strategies before someone else does from your fellow friends. This will simplify your process of searching for syllabi. Including the reference books and the required textbooks to read. The following article will help you to guide the syllabus unit-wise. Hoping this information is useful to you. Kindly share it with your classmates.
If you want to know more about the syllabus of B.Tech Agricultural Engineering connected to an affiliated institution’s four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.Tech Agricultural Engineering Syllabus Anna University, Regulation 2021.
Aim of Objectives:
- To introduce Fourier series analysis which is central to many applications in engineering apart from its use in solving boundary value problems.
- To acquaint the student with Fourier series techniques in solving heat flow problems used in various situations.
- To acquaint the student with Fourier transform techniques used in wide variety of situations.
- To have knowledge in solving linear programming problems.
- To acquaint knowledge to solve transportation and assignment problems.
- To familiar with the method of solving nonlinear programming problems.
MA3301 – Fourier Series And Linear Programming Syllabus
Unit I: Fourier Series
Dirichlet’s conditions – General Fourier series – Odd and even functions – Half range sine series and cosine series – Root mean square value – Parseval’s identity–– Harmonic analysis.
Unit II: Fourier Transforms
Statement of Fourier integral theorem– Fourier transform pair – Fourier sine and cosine transforms – Properties – Transforms of simple functions – Convolution theorem – Parseval’s identity.
Unit III: Linear Programming Problems
Mathematical formulation – Graphical method – Simplex method – Artificial variable techniques – Big M Method – Two phase Simplex method – Duality – Dual Simplex method.
Unit IV: Transportation And Assignment Problems
Matrix form – Loops in T.P. – Initial basic feasible solutions – Transportation algorithm Degeneracy in T.P. – Assignment and Routing problems.
Unit V: Non-Linear Programming Problems
Lagrange multipliers – Equality constraints – Inequality constraints – Kuhn – Tucker Conditions – Quadratic programming.
Text Books:
- Grewal B.S., “Higher Engineering Mathematics”, 44th Edition, Khanna Publishers, New Delhi, 2018.
- H.A. Taha, “Operations Research – An introduction”, 10th Edition, Pearson Education, New Delhi, 2017.
- 3. Kanti Swarup, Guptha P.K. and Man Mohan, “Operations Research”, 5th Edition, Sultan Chand & Sons, New Delhi, 2010.
References:
- Kreyszig E, “Advanced Engineering Mathematics”, 10th Edition, John Wiley, New Delhi, India, 2016.
- Ravindran, Philips and Solberg “Operations Research, Principles and Practice”, 2nd Edition, Wiley, New Delhi, 2007.
- Frederick S Hillier and Gerald J. Lieberman, “Introduction to Operations Research”, Mc Graw Hill, New Delhi, 2017.
- J.K.Sharma, ” Operations Research – Theory and Applications “, Mac Millan India Ltd, 2nd Edition, New Delhi, 2003.
- Richard Bronson & Govindasami Naadimuthu, “Operations Research” (Schaum’s Outlines – TMH Edition) Tata McGraw Hill, 2nd Edition, New Delhi, 2004.
Related Posts on Semester – III:
- AI3301 – Principles of Soil Science and Engineering
- AI3302 – Unit Operations in Agricultural Processing
- AI3303 – Fluid Mechanics and Pumps
- ME3491 – Theory of Machines
- CE3351 – Surveying and Levelling