MA25C03 Transforms and its Applications – Semester II – EEE / EEE(Comp) / EIE / ICE – R-2025

Subject Code & Name: MA25C03 – Transforms and its Applications

Regulation: R-2025

Semester: II (Second Semester)

Branch: B.E. Electrical and Electronics Engineering (EEE) / B.E. Electrical and Computer Engineering (EEE(Comp)) / B.E. Electronics and Instrumentation Engineering (EIE) / B.E. Instrumentation and Control Engineering (ICE)

Credits / L-T-P: 4 Credits | L-T-P: 3-1-0

Course Objectives

• 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.

Full Unit-wise Syllabus

Unit I – 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.

Unit II – 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.

Unit III – 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.

Unit IV – 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.

Course Outcomes (COs)

• CO1: Explain the concept of various transform functions in engineering applications.
• CO2: Apply Laplace and inverse Laplace transforms for solving differential equations.
• CO3: Apply Z-transform methods to solve problems and analyze the results.
• CO4: Apply Fourier series to express functions and analyze the convergence behavior of the series.
• CO5: Select and apply appropriate software for applying transform functions.

Assessment Pattern (Quick Note)

• Weightage: Continuous Assessment 40% | End Semester Examinations 60%
• Internal methodology: Assignment (20%), Software activity (20%), Quiz (10%), Internal Examinations (50%)

Source: Official Anna University – B.E. Electrical and Electronics Engineering R-2025 Syllabus
Last Updated: September 2026