KTU 2024 Scheme · Semester 3 · Common to Groups B & C

Mathematics for Electrical Science and Physical Science 3 (GYMAT301) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Electrical Science and Physical Science 3, Semester 3, Common to Groups B & C (Mechanical Engineering).

This page compiles APJ Abdul Kalam Technological University's officially published 2024 Scheme syllabus for Mechanical Engineering, Semester 3, sourced directly from KTU's official website (ktu.edu.in). Learnizo is an independent online tuition platform and is not affiliated with, endorsed by, or officially connected to APJKTU. The university may revise syllabus content after this page was last updated — always cross-check with the official KTU source for the current, authoritative version.

Course Code

GYMAT301

Credits

Teaching Hours

3:0:0:0 (L:T:P:R)

CIE Marks

ESE Marks

Exam Duration

2 Hrs 30 Min

Prerequisites

Basic knowledge in complex numbers

Semester

Semester 3

Course Objective

To introduce the concept and applications of Fourier transforms in various engineering fields, and to introduce the basic theory of functions of a complex variable, including residue integration and conformal transformation, and their applications.

Module-wise Syllabus

Module 1

9 contact hours

Fourier 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.

Module 2

9 contact hours

Complex function, limit, continuity, derivative, analytic functions, Cauchy-Riemann equations (without proof), Laplace's equations, harmonic functions, finding harmonic conjugate, conformal mapping and standard mappings.

Module 3

9 contact hours

Complex Integration: line integrals in the complex plane (definition and basic properties), first and second evaluation methods, Cauchy's integral theorem (without proof) on simply connected domains, independence of path, Cauchy integral theorem on multiply connected domains (without proof), Cauchy integral formula (without proof).

Module 4

9 contact hours

Taylor series and Maclaurin series, Laurent series (without proof), singularities and zeros — isolated singularity, poles, essential singularities, removable singularities, zeros of analytic functions. Formulas for residues, residue theorem (without proof), residue integration — integral of rational functions of cos and sin.

Course Outcomes

CO1Determine the Fourier transforms of functions and apply them to solve problems arising in engineering.
CO2Understand the analyticity of complex functions and apply it in conformal mapping.
CO3Compute complex integrals using Cauchy's integral theorem and Cauchy's integral formula.
CO4Understand the series expansion of a complex function about a singularity and apply the residue theorem to compute real integrals.

Assessment Pattern (CIE: 40 marks, ESE: 60 marks)

Continuous Internal Evaluation (CIE)

Attendance	5
Assignment / Microproject	15
Internal Examination 1 (Written)	10
Internal Examination 2 (Written)	10

End Semester Examination (ESE)

Total 60 marks, 2 Hrs 30 Min. See the official KTU syllabus document for the exact Part A / Part B question pattern for this course.

Textbooks & Reference Books

Textbooks

Advanced Engineering Mathematics — Erwin Kreyszig (John Wiley & Sons, 10th edition, 2016)

Reference Books

Complex Analysis — Dennis G. Zill, Patrick D. Shanahan (Jones & Bartlett, 3rd edition, 2015)
Higher Engineering Mathematics — B. V. Ramana (McGraw-Hill Education, 39th edition)
Higher Engineering Mathematics — B.S. Grewal (Khanna Publishers, 2023)
Fast Fourier Transform - Algorithms and Applications — K.R. Rao, Do Nyeon Kim, Jae Jeong Hwang (Springer, 1st edition, 2011)

Frequently Asked Questions

How many credits is KTU Mathematics for Electrical Science and Physical Science 3 (GYMAT301)?

3 credits, with 3:0:0:0 (L:T:P:R) teaching hours per week, under the KTU 2024 Scheme.

How many modules are in the GYMAT301 syllabus?

4 modules, 36 total contact hours.

What is the CIE and ESE mark split for this course?

CIE (Continuous Internal Evaluation): 40 marks. ESE (End Semester Examination): 60 marks, 2 Hrs 30 Min. Total: 100 marks.

What are the recommended textbooks for GYMAT301?

Advanced Engineering Mathematics (Erwin Kreyszig).

Is this syllabus specific to one branch, or common to others too?

This Semester 3 course is listed under Common to Groups B & C at KTU under the 2024 Scheme — check the course header above for which branches it's common to.

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