Course Code: GYMAT301
Course Name: MATHEMATICS FOR ELECTRICAL SCIENCE AND PHYSICAL SCIENCE – 3
Course Prerequisites: Basic knowledge in complex numbers.
Course Objectives:
- To introduce the concept and applications of Fourier transforms in various engineering
- To introduce the basic theory of functions of a complex variable, including residue integration and conformal transformation, and their applications
Course Outcomes (COs):
At the end of the course students should be able to:
CO1 : Determine the Fourier transforms of functions and apply them to solve problems arising in engineering.
CO2 : Understand the analyticity of complex functions and apply it in conformal mapping.
CO3 : Compute complex integrals using Cauchy’s integral theorem and Cauchy’s integral formula.
CO4 : Understand the series expansion of complex function about a singularity and apply residue theorem to compute real integrals.
Curriculum
- 2 Sections
- 18 Lessons
- 10 Weeks
Expand all sectionsCollapse all sections
- Fourier Integrals and TransformsFourier Integral, From Fourier series to Fourier Integral, Fourier Cosine and Sine integrals, Fourier Cosine and Sine Transform, Linearity, Transforms of Derivatives, Fourier Transform and its inverse, Linearity, Transforms of Derivative.9
- 1.1Fourier Integral, From Fourier series to Fourier Integral
- 1.2Fourier Cosine and Sine integrals,30 Minutes
- 1.3Fourier Cosine and Sine Transform30 Minutes
- 1.4Linearity, Transforms of Derivatives,
- 1.5Fourier Transform and its inverse,30 Minutes
- 1.6Linearity, Transforms of Derivative.30 Minutes
- 1.7Additional Problems on Fourier Integrals30 Minutes
- 1.8Additional Problems on Fourier Cosine and Sine Transforms30 Minutes
- 1.9Additional problems on Fourier transforms30 Minutes
- Complex Differentiation9
