KTU 2024 Scheme · Semester 1 · Common to Groups B & C

Mathematics for Electrical Science and Physical Science 1 (GYMAT101) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Electrical Science and Physical Science 1, Semester 1, 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 1, 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

GYMAT101

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 single variable calculus and matrix operations

Semester

Semester 1

Course Objective

To provide a comprehensive understanding and basic techniques of matrix theory to analyze linear systems, and to offer advanced knowledge and practical skills in solving second-order ordinary differential equations, applying Laplace transforms, and understanding Fourier series.

Module-wise Syllabus

Module 1

9 contact hours

Linear systems of equations: Gauss elimination, row echelon form, linear independence — rank of a matrix, solutions of linear systems (existence, uniqueness, without proof), the matrix eigenvalue problem, determining eigenvalues and eigenvectors, diagonalization of matrices.

Module 2

9 contact hours

Homogeneous linear ODEs of second order, superposition principle, general solution, homogeneous linear ODEs of second order with constant coefficients. Non-homogeneous ODEs (constant coefficients) — general solution, particular solution by the method of undetermined coefficients, initial value problems for non-homogeneous second order linear ODEs, solution by variation of parameters.

Module 3

9 contact hours

Laplace transform, inverse Laplace transform, linearity property, first shifting theorem, transform of derivatives, solution of initial value problems by Laplace transform (second order linear ODE with constant coefficients, initial conditions at t=0 only), unit step function, second shifting theorem, Dirac delta function and its transform, convolution theorem (without proof) and its application to finding inverse Laplace transforms of products of functions.

Module 4

9 contact hours

Taylor series representation (without proof), Maclaurin series representation, Fourier series, Euler formulas, convergence of Fourier series (Dirichlet's conditions), Fourier series of 2π periodic functions and 2l periodic functions, half range sine series expansion, half range cosine series expansion.

Course Outcomes

CO1Solve systems of linear equations and diagonalize matrices.
CO2Solve homogeneous and non-homogeneous linear differential equations with constant coefficients.
CO3Compute Laplace transform and apply it to solve ODEs arising in engineering.
CO4Determine the Taylor series and evaluate Fourier series expansion for different periodic functions.

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)
Calculus — H. Anton, I. Biven, S. Davis (Wiley, 12th edition, 2024)

Reference Books

Thomas' Calculus — Maurice D. Weir, Joel Hass, Christopher Heil, Przemyslaw Bogacki (Pearson, 15th edition, 2023)
Essential Calculus — J. Stewart (Cengage, 2nd edition, 2017)
Elementary Linear Algebra — Howard Anton, Chris Rorres (Wiley, 11th edition, 2019)
Bird's Higher Engineering Mathematics — John Bird (Taylor & Francis, 9th edition, 2021)
Higher Engineering Mathematics — B.V. Ramana (McGraw-Hill Education, 39th edition, 2023)
Signals and Systems — Simon Haykin, Barry Van Veen (Wiley, 2nd edition, 2002)

Frequently Asked Questions

How many credits is KTU Mathematics for Electrical Science and Physical Science 1 (GYMAT101)?

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 GYMAT101 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 GYMAT101?

Advanced Engineering Mathematics (Erwin Kreyszig); Calculus (H. Anton, I. Biven, S. Davis).

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

This Semester 1 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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