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IT: INFORMATION TECHNOLOGY
===IT: INFORMATION TECHNOLOGY===
COMBINED FIRST AND SECOND SEMESTER
==COMBINED FIRST AND SECOND SEMESTER==
Code
=ENO4- 101 : MATHEMATICS I=
  Subject
  Hours/Week
  Internal Marks
  University Examination
  EN04 - 101
  Engineering Mathematics I
  3
  -
  -
  50
  3
  100
  EN04 - 102
  Engineering Mathematics II
  3
  -
  -
  50
  3
  100
  EN04 - 103A
  Engineering Physics(A)
  2
  -
  -
  50
  3
  100
  EN04 - 104A
  Engineering Chemistry(A)
  2
  -
  -
  50
  3
  100
  EN04 - 105
  Humanities
  2
  -
  -
  50
  3
  100
  EN04 - 106A
  Engineering Graphics(A)
  1
  -
  3
  50
  3
  100
  EN04 - 107A
  Engineering Mechanics(A)
  2
  1
  -
  50
  3
  100
  IT04 - 108
  Computer Programming in C
  2
  -
  -
  50
  3
  100
  IT04 - 109
  Basic Electrical Engineering
  2
  -
  -
  50
  3
  100
  IT04 - 110(P)
  Civil and Mechanical Workshop
  -
  -
  3
  50
  -
  -
  IT04 - 111(P)
  Electrical and Electronics Workshop
  -
  -
  2
  50
  -
  -
  TOTAL
  19
  1
  10
  550
  -
  900
  DETAILED SYLLABUS
ENO4- 101 : MATHEMATICS I
(Common for all B. Tech. Programmes)
(Common for all B. Tech. Programmes)
3 hours lecture per week
3 hours lecture per week
Module I: Differential Calculus (15 hours)
      Module I: Differential Calculus (15 hours)
Indeterminate forms-L' hospital's rule- radius of curvature-centre of curvature - evolute -functions of more than one variable-idea of partial differentiation-Euler's Theorem for homogeneous functions-chain rule of partial differentiation-applications in errors and approximations-change of variables-Jacobians-maxima and minima of functions of two -method of Litgrange multipliers.
Indeterminate forms-L' hospital's rule- radius of curvature-centre of curvature - evolute -functions of more than one variable-idea of partial differentiation-Euler's Theorem for homogeneous functions-chain rule of partial differentiation-applications in errors and approximations-change of variables-Jacobians-maxima and minima of functions of two -method of Litgrange multipliers.
Module II: Infinite series (15 hours)
      Module II: Infinite series (15 hours)
Notion of convergence and divergence of infinite series-ratio test -comparison test-Raabe's test- root test-series of positive and negative terms-absolute convergence-test for alternating series-power series -interval of convergence-Taylors and Maclaaurins series expansion of functions-Leibnitz formula for the nth derivative of the product of two functions-use of Leibnitz formula in the Taylor and Maclaurin expansions.
Notion of convergence and divergence of infinite series-ratio test -comparison test-Raabe's test- root test-series of positive and negative terms-absolute convergence-test for alternating series-power series -interval of convergence-Taylors and Maclaaurins series expansion of functions-Leibnitz formula for the nth derivative of the product of two functions-use of Leibnitz formula in the Taylor and Maclaurin expansions.
Module III: Matrices (21 hours)
      Module III: Matrices (21 hours)
Rank of a matrix- reduction of a matrix to echelon and normal forms- system of linear equations- consistency of linear equations-Gauss elimination- homogeneous linear equations-fundamental system of solutions- solution of a system of equations using matrix inversion -Eigen values and eigen vectors - Cayley-Hamilton theorem- Eigen value of Hermitian, skew-hermitian and unitary matrices- Digitalization of matrix using Eigen values and Eigen vectors-quadratic forms-matrix associated with a quadratic form -definite, semidefinite and indefinite forms.
Rank of a matrix- reduction of a matrix to echelon and normal forms- system of linear equations- consistency of linear equations-Gauss elimination- homogeneous linear equations-fundamental system of solutions- solution of a system of equations using matrix inversion -Eigen values and eigen vectors - Cayley-Hamilton theorem- Eigen value of Hermitian, skew-hermitian and unitary matrices- Digitalization of matrix using Eigen values and Eigen vectors-quadratic forms-matrix associated with a quadratic form -definite, semidefinite and indefinite forms.
Module IV: Fourier series and harmonic analysis (15 hours)
      Module IV: Fourier series and harmonic analysis (15 hours)
Periodic functions-trigonometric series-Fourier series-Euler formulae-even and odd functions-functions having arbitrary period -half page expansions-approximation by trigonometric polynomials- minimum square error- numerical method for determining Fourier Coefficients- harmonic analysis
Periodic functions-trigonometric series-Fourier series-Euler formulae-even and odd functions-functions having arbitrary period -half page expansions-approximation by trigonometric polynomials- minimum square error- numerical method for determining Fourier Coefficients- harmonic analysis
Reference Books
Reference Books
  Michael D. Greenberg, Advanced Engineering Mathematics (second edition),Pearson Education Asia.
  Michael D. Greenberg, Advanced Engineering Mathematics (second edition),Pearson Education Asia.
  Wylie C.R. and L.C. Barrent, Advanced Engineering Matematics, McGraw Hill  
  Wylie C.R. and L.C. Barrent, Advanced Engineering Matematics, McGraw Hill  
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  Ayres F, Matrices, Schaum's Outline Series, McGraw Hill
  Ayres F, Matrices, Schaum's Outline Series, McGraw Hill
  Sastry, S.S, Engineering Mathematics -Vol.1 and 2, Prentice Hall of India  
  Sastry, S.S, Engineering Mathematics -Vol.1 and 2, Prentice Hall of India  
Internal work assessment
 
Internal work assessment
60% - Test papers (minimum 2)
60% - Test papers (minimum 2)
30% - Assignments/Term project/any other mode decided by the teacher.
30% - Assignments/Term project/any other mode decided by the teacher.
10% - Other measures like Regularity and Participation in Class.
10% - Other measures like Regularity and Participation in Class.
Total Marks=50
Total Marks=50
University examination pattern
 
University examination pattern
QI  -  8 short type questions of 5 marks, 2 from each module
QI  -  8 short type questions of 5 marks, 2 from each module
QII -  2 questions A and B of 15 marks from module I with choice to answer anyone
QII -  2 questions A and B of 15 marks from module I with choice to answer anyone
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QIV -  2 questions A and B of 15 marks from module II with choice to answer anyone
QIV -  2 questions A and B of 15 marks from module II with choice to answer anyone
QV -  2 questions A and B of 15 marks from module IV with choice to answer anyone
QV -  2 questions A and B of 15 marks from module IV with choice to answer anyone
EN04-102 : MATHEMATICS II
EN04-102 : MATHEMATICS II
(Common for all B.Tech. Programmes)
(Common for all B.Tech. Programmes)
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