MA3301 Fourier Series and Linear Programming

MA3301 Fourier Series and Linear Programming Study Materials

Anna University – MA3301 Fourier Series and Linear Programming Regulation 2021 Syllabus, Notes, Important Questions, Question Paper with Answers, Previous Year Question Paper.

UNIT I FOURIER SERIES MA3301 Fourier Series and Linear Programming Syllabus

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 MA3301 Fourier Series and Linear Programming Notes

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 MA3301 Fourier Series and Linear Programming Important Questions

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 MA3301 Fourier Series and Linear Programming Question Paper

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 MA3301 Fourier Series and Linear Programming Question Bank

Lagrange multipliers – Equality constraints – Inequality constraints – Kuhn – Tucker Conditions –
Quadratic programming

Syllabus	Click Here
Notes	Click Here
Important Questions	Click Here
Previous Year Question Paper	Click Here
Question Bank	Click Here

TEXT BOOKS: MA3301 Fourier Series and Linear Programming Important Questions

1. Grewal B.S., “Higher Engineering Mathematics”, 44th Edition, Khanna Publishers, New Delhi,
2018.
2. 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: MA3301 Fourier Series and Linear Programming QB

1. Kreyszig E, “Advanced Engineering Mathematics”, 10th Edition, John Wiley, New Delhi,
India, 2016.
2. Ravindran, Philips and Solberg “Operations Research, Principles and Practice”, 2
nd
Edition, Wiley, , New Delhi, 2007.
3. Frederick S Hillier and Gerald J. Lieberman, “Introduction to Operations Research”, Mc
Graw Hill, New Delhi, 2017.
4. J.K.Sharma , ” Operations Research – Theory and Applications “, Mac Millan India Ltd ,
2
nd Edition , New Delhi , 2003.
5. Richard Bronson & Govindasami Naadimuthu, “Operations Research” (Schaum’s Outlines –
TMH Edition) Tata McGraw Hill, 2nd Edition, New Delhi, 2004.