MA25C03 Transforms and its Applications
Anna University Syllabus, Notes, Important Questions, Question Bank, Question Paper are available in Padeepz App
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. MA25C03 Transforms and its Applications
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: MA25C03 Transforms and its Applications Notes
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 MA25C03 Transforms and its Applications Important Questions
(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. MA25C03 Transforms and its Applications Question Paper
Activities: Compute the Fourier and inverse Fourier transform, Parseval’s theorem
validation.
References: MA25C03 Transforms and its Applications Question Bank
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.
| Syllabus | Click Here |
| Notes | Click Here |
| Important Questions | Click Here |
| Previous Year Question Paper | Click Here |
| Question Bank | Click Here |
Related Links