KTU 2024 Scheme · Semester 2 · Common to Groups B & C

Mathematics for Electrical Science and Physical Science 2 (GYMAT201) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Electrical Science and Physical Science 2, Semester 2, 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 2, 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

GYMAT201

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

Semester

Semester 2

Course Objective

To provide a comprehensive understanding of partial derivatives, multiple integrals, and the differentiation and integration of vector-valued functions, emphasizing their applications in engineering contexts.

Module-wise Syllabus

Module 1

9 contact hours

Limits and continuity, partial derivatives, partial derivatives of functions with two variables, partial derivatives viewed as rate of change and slopes, partial derivatives of functions with more than two variables, higher order partial derivatives, local linear approximations, chain rule, implicit differentiation, maxima and minima of functions of two variables (relative maxima and minima).

Module 2

9 contact hours

Double integrals, reversing the order of integration, change of coordinates (Cartesian to polar), evaluating areas and finding volumes using double integration. Triple integrals, volume calculated as a triple integral, triple integral in Cartesian and cylindrical coordinates.

Module 3

9 contact hours

Vector valued function of a single variable — derivative of a vector valued function, concept of scalar and vector fields, gradient and its properties, directional derivative, divergence and curl, line integrals of vector fields, work done as a line integral, conservative vector field, independence of path, potential function (results without proof).

Module 4

9 contact hours

Green's theorem (for simply connected domains, without proof) and applications to evaluating line integrals and finding areas; surface integrals over surfaces of the form z=g(x,y); flux integrals; divergence theorem (without proof) and its use to find flux; Stokes' theorem (without proof).

Course Outcomes

CO1Compute the partial and total derivatives and maxima and minima of multivariable functions and apply them in engineering problems.
CO2Understand the theoretical idea of multiple integrals and apply them to find areas and volumes of geometrical shapes.
CO3Compute the derivatives and line integrals of vector functions and learn their applications.
CO4Apply the concepts of surface and volume integrals and learn their inter-relations and applications.

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

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)
Advanced Engineering Mathematics — Erwin Kreyszig (John Wiley & Sons, 10th edition, 2016)
Bird's Higher Engineering Mathematics — John Bird (Taylor & Francis, 9th edition, 2021)
Higher Engineering Mathematics — B.V. Ramana (McGraw-Hill Education, 39th edition, 2023)

Frequently Asked Questions

How many credits is KTU Mathematics for Electrical Science and Physical Science 2 (GYMAT201)?

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 GYMAT201 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 GYMAT201?

Calculus (H. Anton, I. Biven, S. Davis).

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

This Semester 2 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.

Need help with KTU Engineering Mathematics?

Learnizo offers live, 1-on-1 online tuition for KTU engineering mathematics — matched to your exact module and semester.

Explore KTU Maths Tuition