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