MA3303 Probability and Complex Functions Study Materials
Anna University – MA3303 Probability and Complex Functions Regulation 2021 Syllabus, Notes, Important Questions, Question Paper with Answers, Previous Year Question Paper.
UNIT I PROBABILITY AND RANDOM VARIABLES MA3303 Probability and Complex Functions Syllabus
Axioms of probability – Conditional probability – Baye’s theorem – Discrete and continuous random
variables – Moments – Moment generating functions – Binomial, Poisson, Geometric, Uniform,
Exponential and Normal distributions – Functions of a random variable.
UNIT II TWO-DIMENSIONAL RANDOM VARIABLES MA3303 Probability and Complex Functions Notes
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 III ANALYTIC FUNCTIONS MA3303 Probability and Complex Functions Important Questions
Analytic functions – Necessary and sufficient conditions for analyticity in Cartesian and polar
coordinates – Properties – Harmonic conjugates – Construction of analytic function – Conformal
mapping – Mapping by functions 1 2
– Bilinear transformation.
UNIT IV COMPLEX INTEGRATION MA3303 Probability and Complex Functions Question Bank
Line integral – Cauchy’s integral theorem – Cauchy’s integral formula – Taylor’s and Laurent’s series
– Singularities – Residues – Residue theorem – Application of residue theorem for evaluation of real
integrals – Applications of circular contour and semicircular contour (with poles NOT on real axis).
UNIT V ORDINARY DIFFERENTIAL EQUATIONS MA3303 Probability and Complex Functions Question paper
Higher order linear differential equations with constant coefficients – Method of variation of parameters
– Homogenous equation of Euler’s and Legendre’s type – System of simultaneous linear first order
differential equations with constant coefficients – Method of undetermined coefficients.
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| Notes | Click Here |
| Important Questions | Click Here |
| Previous Year Question Paper | Click Here |
| Question Bank | Click Here |
TEXT BOOKS MA3303 PCF Notes Regulation 2021
1. Johnson. R.A., Miller. I and Freund. J., “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 9th Edition, 2016.
2. Milton. J. S. and Arnold. J.C., “Introduction to Probability and Statistics”, Tata McGraw Hill, 4th
Edition, 2007.
3. Grewal.B.S., “Higher Engineering Mathematics”, Khanna Publishers, New Delhi, 44th Edition,
2018.
REFERENCES MA3303 PCF Important Questions Regulation 2021
1. Devore. J.L., “Probability and Statistics for Engineering and the Sciences”, Cengage Learning,
New Delhi, 8th Edition, 2014.
2. Papoulis. A. and Unnikrishnapillai . S., “Probability, Random Variables and Stochastic
Processes”, McGraw Hill Education India, 4th Edition, New Delhi, 2010.
3. Ross . S.M., “Introduction to Probability and Statistics for Engineers and Scientists”,
5thEdition, Elsevier, 2014.
4. Spiegel. M.R., Schiller. J. and Srinivasan . R.A., “Schaum’s Outline of Theory and Problems of
Probability and Statistics”, Tata McGraw Hill Edition, 4th Edition, 2012.
5. Walpole. R.E., Myers. R.H., Myers. S.L. and Ye. K., “Probability and Statistics for Engineers and
Scientists”, Pearson Education, Asia, 9th Edition, 2010.
6. Kreyszig.E, “Advanced Engineering Mathematics”, John Wiley and Sons,10th Edition, New Delhi, 2016.
Related Links
Anna University Syllabus Regulation 2021
Anna University Regulation 2021 Study Materials