EN04 301A ENGINEERING MATHEMATICS-Syllubus

(Common for all B.Tech. programme except CS and IT)
3 hours lecture and 1 hour tutorial per week
Module I
Linear Algebra: Vector spaces- linear dependence and impedance, and their computation- Bases
and dimension- Subspaces- Inner product spaces- Gram-Schmidt orthogonalization process-
Linear transformations- Elementary properties of linear transformations- Matrix of a linear
transformation. (Proofs of theorems omitted)
Module II
Fourier Transforms: Fourier integral theorem (proof not required)- Fourier sine and cosine
integral representations- Fourier transforms- Fourier sine and cosine transforms- Properties of
Fourier transforms- Singularity functions and their Fourier transforms.
Module III
Probability Distributions: Random variables- Mean and variance of probability distributions-
Binominal and Poisson distributions- Poisson approximation to binominal distribution-
Hypergeometric and geometric distributions- Probability densities- Normal, uniform and gamma
distributions.
Module IV
Theory of Inference: Population and samples- Sampling distributions of mean and variance-
Point and interval estimations- Confidence intervals for mean and variance- Tests of hypotheses-
Hypotheses concerning one mean, two mean, one variance and two variances- Test of goodness of
fit.
TEXT BOOKS
For Module I
K. B. Datta, Matrix and Linear Algebra for Engineers, Prentice-Hall of India, New Delhi, 2003.
(Sections: 5.1, 5.2, 5.3, 5.4, 5.5, 5.8, 6.1, 6.2, 6.3)
For Module II
C R Wylie & L C Barrett, Advanced Engineering Mathematics (Sixth Edition), McGraw Hill.
(Sections: 9.1, 9.3, 9.5)
For Module III
Richard A Johnson, Miller & Freund’s Probability and Statistics for Engineers, Pearson Education, 2000.
(Sections: 4.1, 4.2, 4.3, 4.4, 4.6, 4.8, 5.1, 5.2, 5.5, 5.7)
For Module IV
Richard A Johnson, Miller & Freund’s Probability and Statistics for Engineers, Pearson Education, 2000.
(Sections: 6.1, 6.2, 6.3, 7.1, 7.2, 7.4, 7.5, 7.8, 8.1, 8.2,
8.3, 9.5)
REFERENCES
1. Bernard Kolman & David R Hill, Introductory Linear Algebra with Applications (Seventh Edition),
Pearson Education, 2003.
2. Lipschutz S, Linear Algebra – Schaum’s Outline Series, McGraw Hill
3. Erwin Kreyszig, Advanced Engineering Mathematics (Eighth Edition), John Wiley & Sons.
4. Larry C Andrews & Bhimsen K Shivamoggi, Integral Transforms for Engineers, Prentice-Hall of
India, 2003.
5. Ronald E Walpole, et al, Probability and Statistics for Engineers and Scientists(Seventh Edition),
University of Calicut B. 4 Tech.-Electronics & Communication Engg.
Pearson Education, 2004
6. Robert V Hogg & Elliot A Tanis, Probability and Statistical Inference, Pearson Education, 2003.
7. Chatfield C, Statistics for Technology, Chapman & Hall
Internal work assessment
60 % - Test papers (minimum 2)
30 % - Assignments/Term project/any other mode decided by the teacher.
10 % - Other measures like Regularity and Participation in Class.
Total marks = 50
University examination pattern
Q I - 8 short type questions of 5 marks, 2 from each module
Q II - 2 questions A and B of 15marks from module I with choice to answer any one
Q III - 2 questions A and B of 15marks from module II with choice to answer any one
Q IV - 2 questions A and B of 15marks from module III with choice to answer any one
Q V - 2 questions A and B of 15marks from module IV with choice to answer any one