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KTU 2024 Scheme · Semester 4 · Group C

Mathematics for Physical Science 4 (GCMAT401) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Physical Science 4, Semester 4, Group C (Mechanical Engineering).

This page compiles APJ Abdul Kalam Technological University's officially published 2024 Scheme syllabus for Mechanical Engineering, Semester 4, 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

GCMAT401

Credits

3

Teaching Hours

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

CIE Marks

40

ESE Marks

60

Exam Duration

2 Hrs 30 Min

Prerequisites

Basic calculus

Semester

Semester 4

Course Objective

To familiarize students with the foundations of probabilistic and statistical analysis used in varied applications in engineering and science, and to provide the basics of various numerical methods to develop problem solving skills used in various engineering disciplines.

Module-wise Syllabus

Module 1

9 contact hours

Random variables, discrete random variables and their probability distributions, cumulative distribution function, expectation, mean and variance, binomial distribution, Poisson distribution, Poisson distribution as a limit of the binomial distribution, joint pmf of two discrete random variables, marginal pmf, independent random variables, expected value of a function of two discrete variables.

Module 2

9 contact hours

Continuous random variables and their probability distributions, cumulative distribution function, expectation, mean and variance, uniform, normal and exponential distributions, joint pdf of two continuous random variables, marginal pdf, independent random variables, expectation value of a function of two continuous variables.

Module 3

9 contact hours

Confidence intervals, confidence level, confidence intervals and one-sided confidence intervals for a population mean for large and small samples (normal and t-distribution). Hypotheses and test procedures, Type I and Type II error, z-tests for hypotheses about a population mean (large sample), t-test for hypotheses about a population mean (small sample), tests concerning a population proportion for large and small samples.

Module 4

9 contact hours

Newton-Raphson method, Gauss elimination method, Gauss-Jordan method, numerical solution of ordinary differential equations — Euler's method, modified Euler's method, Runge-Kutta method of 2nd order, numerical solution of Laplace's equation — Jacobi's method, curve fitting by method of least squares — straight lines, parabola.

Course Outcomes

  • CO1Understand the concept, properties and important models of discrete random variables and apply them in suitable random phenomena.
  • CO2Understand the concept, properties and important models of continuous random variables and apply them in suitable random phenomena.
  • CO3Estimate population parameters, assess their certainty with confidence intervals, and test hypotheses about population means and proportions using z-tests and the one-sample t-test.
  • CO4Apply numerical methods to find solutions of linear systems of equations, ordinary differential equations and Laplace equations.

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

Continuous Internal Evaluation (CIE)

Attendance5
Assignment / Microproject15
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

  • Probability and Statistics for Engineering and the Sciences — Devore J. L (Cengage Learning, 9th edition, 2016)
  • Introductory Methods of Numerical Analysis — S S Sastry (PHI Learning Pvt Limited, 5th edition, 2012)

Reference Books

  • Probability, Random Variables and Stochastic Processes — Papoulis, A. & Pillai, S.U. (McGraw Hill, 4th edition, 2002)
  • Introduction to Probability and Statistics for Engineers and Scientists — Ross, S. M. (Academic Press, 6th edition, 2020)
  • Numerical Methods for Engineers — Steven C. Chapra, Raymond P. Canale (McGraw Hill Education, 8th edition, 2021)

Frequently Asked Questions

How many credits is KTU Mathematics for Physical Science 4 (GCMAT401)?

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 GCMAT401 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 GCMAT401?

Probability and Statistics for Engineering and the Sciences (Devore J. L); Introductory Methods of Numerical Analysis (S S Sastry).

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

This Semester 4 course is listed under Group C at KTU under the 2024 Scheme — check the course header above for which branches it's common to.

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