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| KunwarR | Sathyabama Institute of Science and Technology B.Sc. Computer Science SMT1110 MATHEMATICS I Syllabus Sathyabama Institute of Science and Technology B.Sc. Computer Science SMT1110 MATHEMATICS I Syllabus SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF COMPUTING SMT1110 MATHEMATICS I Common to B.Sc.(CS, Chemistry & Physics) L T P Credits Total Marks 4 0 0 4 100 UNIT 1 12 Hrs. Differentiation of standard functions-hyperbolic and inverse hyperbolic functions-differentiation of one function with respect to another-slopetangent and normal-maxima and minima-angle of intersection of curves in Cartesian coordinates. UNIT 2 12 Hrs. Methods of integration-integration by parts- -properties of definite integrals-differential equations-Second order differential equations with constant coefficients. UNIT 3 12 Hrs. Application of Binomial, Exponential and logarithmic series to summation-Eigenvalues and Eigenvectors (differential calculus approach)- Partial differential equations- Elimination of arbitrary constants and functions. UNIT 4 12 Hrs. Complex numbers- - - hyperbolic functions-Fourier series. UNIT 5 12 Hrs. Probability-Mean-Standard deviation-Binomial, Poisson and Normal distributions- Correlation and Regression. Max. 60 Hours TEXT/REFERENCE BOOKS 1. Narayanan, S. and Manickavachagam Pillai, T.K.,Calculus,Vol.I and Vol. II,S.Viswanathan Printers & Publishers,1996. 2. Manickavachagam Pillai, T.K, Natarajan,T. and Ganapathy, K.S.Algebra,Vol I,S.Viswanathan Printers & Publishers,1994. 3. Narayanan, S. Trigonometry,S.Viswanathan Printers & Publishers,1995. 4. Gupta,S.P.,Elements of Statistics,S.Chand & Co,1986. 5. Venkataraman, M.K. Engineering Mathematics,III-A, The National Publishing Co.,1995. 6. Shanthi Narayanan,Differential Calculus, S.Chand & Co., 1964. 7. Vittal,P.R. Trigonometry, Margham Publications,1988. 8. Duraipandian, P.,Vector Analysis, Emerald Publishers, 1984. END SEMESTER EXAM QUESTION PAPER PATTERN Max. Marks : 100 Exam Duration : 3 Hrs. PART A : 10 Questions of 2 marks each uniformly distributed No choice 20 Marks PART B : 2 Questions from each unit of internal choice, each carrying 16 marks 80 Marks |
