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KTU 2024 Scheme · Semester 4 · Common to Group B

Mathematics for Electrical Science - 4 (GBMAT401) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Electrical Science - 4, Semester 4, Common to Group B (Electrical and Electronics Engineering).

This page compiles APJ Abdul Kalam Technological University's officially published 2024 Scheme syllabus for Electrical and Electronics 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

GBMAT401

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 expose them to the basics of random processes essential for the subsequent study of analog and digital communication.

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 distribution 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

Random process concept, classification of process, methods of description of random process, special classes, average values of random process, stationarity (SSS, WSS), autocorrelation functions and its properties, ergodicity, mean-ergodic process, mean-ergodic theorem, correlation ergodic process, distribution ergodic process.

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.
  • CO4Analyze random processes by classifying them, describing their properties, utilizing autocorrelation functions, and understanding their applications in areas like signal processing and communication systems.

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)
  • Probability, Statistics and Random Processes — T Veerarajan (The McGraw-Hill, 3rd edition, 2008)

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)
  • Probability and Random Processes — Palaniammal, S. (PHI Learning Private Limited, 3rd edition, 2015)
  • Introduction to Probability — David F. Anderson, Timo, Benedek (Cambridge, 1st edition, 2017)

Frequently Asked Questions

How many credits is KTU Mathematics for Electrical Science - 4 (GBMAT401)?

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 GBMAT401 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 GBMAT401?

Probability and Statistics for Engineering and the Sciences (Devore J. L.); Probability, Statistics and Random Processes (T Veerarajan).

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

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

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