CSE 2nd Year - Computer Sc. & Engineering

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MATH-201-F MATHEMATICS-IIIL T P Class Work marks : 503 2 0 Theory marks : 100Total marks : 150Duration of Exam : 3 hrNOTE:For setting up the question paper, question no 1 will be set up from all thefour sections which will be compulsory and of short answer type. Twoquestions will be set from each of the four sections. The students have toattempt first common question, which is compulsory, and one question fromeach of the four sections. Thus students will have to attempt 5 questions outof 9 questions.Section-AFourier Series and Fourier Transforms : Euler’s formulae, conditions for a Fourier expansion,change of interval, Fourier expansion of odd and even functions, Fourier expansion of squarewave, rectangular wave, saw-toothed wave, half and full rectified wave, half range sine andconsine series.Fourier integrals, Fourier transforms, Shifting theorem (both on time and frequency axes),Fourier transforms of derivatives, Fourier transforms of integrals, Convolution theorem,Fourier transform of Dirac-delta function.Section-BFunctions of Complex Variable : Definition, Exponential function, Trignometric andHyperbolic functions, Logrithmic functions. Limit and Continuity of a function,Differnetiability and Analyticity.Cauchy-Riemann equations, necessary and sufficient conditions for a function to beanalytic, polar form of the Cauchy-Riemann equations. Harmonic functions, applicationto flow problems. Integration of complex functions. Cauchy-Integral theorem andfourmula.Section-CPower series, radius and circle of convergence, Taylor's Maclaurin's and Laurent's series.Zeroes and singularities of complex functions, Residues. Evaluation of real integrals usingresidues (around unit and semi circle only).Probability Distributions and Hypothesis Testing : Conditional probability, Bayes theoremand its applications, expected value of a random variable. Properties and application ofBinomial, Poisson and Normal distributions.Section D
Testing of a hypothesis, tests of significance for large samples, Student’s t-distribution(applications only), Chi-square test of goodness of fit.Linear Programming: Linear programming problems formulation, Solving linearprogramming problems using (i) Graphical method (ii) Simplex method (iii) Dual simplexmethod.TEXT BOOKS :1. Engg Mathematics By Babu Ram, Pearson India2. Advanced Engg. Mathematics : F Kreyszig.3. Higher Engg. Mathematics : B.S. Grewal.REFERENCE BOOKS :1. Advance Engg. Mathematics : R.K. Jain, S.R.K.Iyenger.2. Advanced Engg. Mathematics : Michael D. Greenberg.3. Operation Research : H.A. Taha.4. Probability statistics for Engineers : Johnson and. PHI
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Page 12 and 13: EE-204-FDIGITAL ELECTRONICSL T P Cl
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Page 22 and 23: CSE-204 FProgramming LanguagesL T P
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Page 30 and 31: CSE-208 F Internet FundamentalsL T
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