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MA3302- Transforms And Statistics Syllabus Regulation 2021 Anna University

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MA3302 Subject code deals with the semester III Subject Transforms And Statistics syllabus of Anna University 2021 Revised regulation syllabus of B.E Geo Informatics Engineering. It is provided based on the student’s point of view to prepare well for academic examinations.

In this article, we would like to discuss the MA3302 – Transforms And Statistics Syllabus. To get good marks in the academic examinations, need a certain guide to assist you with the chapter-wise syllabus right? We include the chapter-wise syllabus for students, to assist them simply. A clear picture of the syllabus in your mind helps to understand the topics from every unit or chapter.

Then you will get an idea of where to begin from the whole syllabus by separating the topics easy from hard topics. Having command of the subject syllabus makes it easy to revise the syllabus for examination and helps you to excel in academics. The following article will give you sufficient information regarding the syllabus. Don’t forget to share it with your friends.

If you want to know more about the syllabus of B.E Geo-Informatics Engineering connected to affiliated institutions under a four-year undergraduate degree program. We provide you with a detailed Year-wise, semester-wise, and Subject-wise syllabus in the following link B.E Geo-Informatics Engineering Syllabus Anna University, Regulation 2021. Hoping this information is useful to you.

Aim Of Concept:

  • To acquaint the student with Fourier Series techniques used in wide variety of situations in which the functions used are not periodic and to solve boundary value problems.
  • To understand the Fourier transform techniques to solve boundary value problems.
  • To introduce the concept of Probability and random variables in Statistics which is central to many geometric applications.
  • To introduce the basic concepts of two dimensional random variables.
  • To acquaint the knowledge of testing of hypothesis for small and large samples which plays an important role in real-life problems.

MA3302- Transforms And Statistics Syllabus

Unit I: Fourier Series

Dirichlet’s conditions – General Fourier series – Odd and even functions – Half-range Sine and cosine series – Root mean square value – Parseval’s identity – Harmonic Analysis.

Unit II: Fourier Transform

Fourier integral theorem – Fourier transform pair – Sine and cosine transforms – Properties – Transform of elementary functions – Convolution theorem – Parseval’s identity.

Unit III: Random Variables

Discrete and continuous random variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform, Exponential and Normal distributions – Functions of a random variable.

MA3302- Transforms And Statistics Syllabus Regulation 2021 Anna University

Unit IV: Two-Dimensional Random Variables

Joint distributions – Marginal and conditional distributions – Covariance – Correlation and Linear regression – Transformation of random variables – Central limit theorem (for independent and identically distributed random variables).

Unit V: Estimation Theory

Unbiased estimators – Efficiency – Consistency – Sufficiency – Robustness – Method of moments Method of maximum Likelihood – Interval estimation of Means – Differences between means, variations and ratio of two variances.

Textbooks:

  1. Grewal. B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 44th Edition, 2018.
  2. John E. Freund’s “Mathematical Statistics with Applications”, 8th Edition, Pearson Education, New Delhi, 2017.
  3. Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata McGraw Hill, New Delhi, 4th Edition, 3rd Reprint, 2008.

References:

  1. James. G., “Advanced Modern Engineering Mathematics “, 4th Edition, Pearson Education, New Delhi, 2016.
  2. Kreyszig. E, “Advanced Engineering Mathematics”, John Wiley & Sons, 10th Edition, New Delhi, 2014.
  3. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Thomson Brooks/Cole, International Student Edition, New Delhi, 8th Edition, 2012.
  4. Ross. S.M., “Introduction to Probability and Statistics for Engineers and Scientists”, Elsevier, New Delhi, 5th Edition, 2014.
  5. Spiegel. M.R., Schiller. J. and Srinivasan. R.A., “Schaum’s Outline of Theory and Problems of Probability and Statistics”, Tata McGraw Hill, New Delhi, 2004.

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