Transforms and its Applications - MA25C03
[ 2nd Semester - EEE - Electrical and Electronics Engineering Department ]
Under Class: | 2nd Semester [EEE Dept Anna University 2025 Regulation] |
Transforms and its Applications - MA25C03 - Study Materials, Notes, Important Questions, Anna University Semester Question Paper PDF Download
Engineering - Transforms and its Applications - MA25C03 Subject (under Anna University 2nd Semester - EEE - Electrical and Electronics Engineering Regulation 2025) - Study Materials, Written and lecture Notes, Important Questions, Semester Question Paper PDF Download
MA25C03:
Transforms and its Applications
Course
Objective:
•
To provide a strong foundation in Fourier Series, Laplace, Fourier and
Z-Transforms.
•
To develop the ability to analyze and solve engineering problems in continuous
and discrete time domains using appropriate transform techniques.
Laplace
Transforms: Existence conditions, Properties of
Laplace transform, Laplace transform of standard functions, derivatives and
integrals, Unit step function and Dirac delta function, Laplace transform of
periodic functions; Inverse Laplace transform: Partial fraction technique,
Convolution theorem.
Application:
Solution of second order ordinary differential equations using Laplace
transform.
Activities:
Compute the Laplace transform of time-domain functions, Inverse Laplace
transform,
Solution of ordinary differential equations using Laplace transform.
Z-Transform:
Z-transform of standard functions, properties; Inverse Z – transform: Standard
functions, Partial fraction technique, Convolution theorem.
Application:
Solution of difference equation using Z – transform.
Activities:
Compute the Z-transform of a discrete-time signal, Solution of linear
constant-coefficient difference equations using Z-transform.
Fourier
Series: Dirichlet’s conditions, General Fourier series,
Convergence of Fourier series, Odd and even functions; Half range sine series,
Half range cosine series, Root mean square value, Parseval’s identity.
Application:
Solution of one-dimensional wave and heat equation.
Activities:
Compute Fourier coefficients, Reconstruct signal using Fourier series (Partial
sum), Plot convergence of Fourier series.
Fourier
Transform: Complex Fourier transform, Properties,
Relation between Fourier and Laplace transform, Fourier sine and cosine
transforms, Parseval’s identity, Convolution theorem.
Application:
Simple applications to solve partial differential equations using Fourier
transform.
Activities:
Compute the Fourier and inverse Fourier transform, Parseval’s theorem validation.
Weightage:
Continuous Assessment: 40%, End Semester Examinations: 60%.
Assessment Methodology:
Assignment (20%), Software activity (20%), Quiz (10%),
Internal
Examinations (50%).
References:
1.
Kreyszig, G. E. (2018). Advanced engineering mathematics. John Wiley & Sons
Ltd.
2.
Grewal, B. S. (2021). Higher engineering mathematics. Khanna Publications.
3.
Zill, D. G. (2022). Advanced engineering mathematics. Jones & Bartlett
India Ltd.
4.
Wylie, C. R., & Barrett, L. C. (2019). Advanced engineering mathematics.
Tata McGraw-Hill.
5. Duffy, D. G. (2017). Advanced engineering mathematics with MATLAB. CRC Press.
E-resources:
1.
Stanford Engineering Everywhere | EE261 - The Fourier Transform and its
Applications
2.
https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-
signals-and-systems-fall-2011/
3.
https://www.coursera.org/learn/mathematics-engineers-fourier-laplace-z-
transforms
4.
Transforms and Applications Handbook | Alexander D. Poularikas, Artyom