Calicut University Syllabus IT - Revision history

Missing actor: /* IT04 507(P) : PROGRAMMING PARADIGMS LAB */

2007-04-30T06:59:48Z

IT04 507(P) : PROGRAMMING PARADIGMS LAB

Missing actor at 06:58, 30 April 2007

2007-04-30T06:58:26Z

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	IT: INFORMATION TECHNOLOGY		IT: INFORMATION TECHNOLOGY
	The syllabus ~~for Information Technology~~ at University of Calicut.		The syllabus at University of Calicut.

	= COMBINED FIRST AND SECOND SEMESTER =		= COMBINED FIRST AND SECOND SEMESTER =

Missing actor: /* IT04 508(P) : HARDWARE LAB */

2007-04-30T06:56:38Z

IT04 508(P) : HARDWARE LAB

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Missing actor at 06:31, 30 April 2007

2007-04-30T06:31:08Z

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Missing actor at 06:26, 30 April 2007

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← Older revision		Revision as of 11:56, 30 April 2007
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	The syllabus for Information Technology at University of Calicut.		The syllabus for Information Technology at University of Calicut.

	COMBINED FIRST AND SECOND SEMESTER		= COMBINED FIRST AND SECOND SEMESTER =

	== ENO4- 101 : MATHEMATICS I ==		== ENO4- 101 : MATHEMATICS I ==
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	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

Missing actor: /* EN04 - 301B ENGINEERING MATHEMATICS III */

2007-04-30T06:24:25Z

EN04 - 301B ENGINEERING MATHEMATICS III

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Missing actor at 05:39, 30 April 2007

2007-04-30T05:39:40Z

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Missing actor at 05:18, 30 April 2007

2007-04-30T05:18:10Z

← Older revision		Revision as of 10:48, 30 April 2007
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	=== IT: INFORMATION TECHNOLOGY ===		= IT: INFORMATION TECHNOLOGY =
	== COMBINED FIRST AND SECOND SEMESTER ==		== COMBINED FIRST AND SECOND SEMESTER ==
	= ENO4- 101 : MATHEMATICS I =		== 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.
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	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)
	3 hours lecture per week		(Common for all B.Tech. Programmes)
			3 hours lecture per week
	Module I: Ordinary diferential equations (21 hours)		Module I: Ordinary diferential equations (21 hours)
	Equations of first order-seperable, homogeneous and linear types-exact equations -orthogonal trajectories-linear second order equations-homogeneous linear equation of the second order with constant coefficients-fundamental system of solutions-Solutions of the general linear equations of second order with constant coefficients- method of variation of parameters-Cauchy's equation-simple applications of differential equations in engineering problems, including problems in mechanical vibrations, electric circuits and bending of beams		Equations of first order-seperable, homogeneous and linear types-exact equations -orthogonal trajectories-linear second order equations-homogeneous linear equation of the second order with constant coefficients-fundamental system of solutions-Solutions of the general linear equations of second order with constant coefficients- method of variation of parameters-Cauchy's equation-simple applications of differential equations in engineering problems, including problems in mechanical vibrations, electric circuits and bending of beams

Missing actor at 05:01, 30 April 2007

2007-04-30T05:01:12Z

← Older revision		Revision as of 10:31, 30 April 2007
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	=== IT: INFORMATION TECHNOLOGY ===		=== IT: INFORMATION TECHNOLOGY ===
	== COMBINED FIRST AND SECOND SEMESTER ==		== COMBINED FIRST AND SECOND SEMESTER ==
	= ENO4- 101 : MATHEMATICS I =		= 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

← Older revision		Revision as of 12:29, 30 April 2007
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	Lab -1 : (object-oriented programming in - Java /C+ +) - Programs to bring out concepts of classes and objects - for example the abstract data type binary tree		Lab -1 : (object-oriented programming in - Java /C+ +) - Programs to bring out concepts of classes and objects - for example the abstract data type binary tree

	Lab - 2 : (object oriented programming) Programs to demonstrate inheritance and class hierarchy - for example define a base class “shape” and derived classes for rectangle, square, ellipse, circle with proper class hierarchy		Lab - 2 : (object oriented programming) Programs to demonstrate inheritance and class hierarchy - for example define a base class “shape” and derived classes for rectangle, square, ellipse, circle with proper class hierarchy

	Lab - 3 : (object oriented programming) - Programs to demonstrate polymorphism, virtual functions - for example define base class for vectors and use inheritance to define complex and real vector with standard operations		Lab - 3 : (object oriented programming) - Programs to demonstrate polymorphism, virtual functions - for example define base class for vectors and use inheritance to define complex and real vector with standard operations

	Lab - 4 : (functional programming - in Lisp / scheme / Haskell) - Program to demonstrate functional specification for a solution - for example implementation of quick sort		Lab - 4 : (functional programming - in Lisp / scheme / Haskell) - Program to demonstrate functional specification for a solution - for example implementation of quick sort

	Lab - 5 : (functional programming) - Program to demonstrate implementation of conventional data structures - for example implementation of binary search tree with insertion, deletion, and search operations		Lab - 5 : (functional programming) - Program to demonstrate implementation of conventional data structures - for example implementation of binary search tree with insertion, deletion, and search operations

	Lab -6 : (functional programming) - Program to demonstrate use of available data structures in functional programming languages - for example implementation of set with membership, union, and intersection operations		Lab -6 : (functional programming) - Program to demonstrate use of available data structures in functional programming languages - for example implementation of set with membership, union, and intersection operations

	Lab - 7 : (logic programming - in prolog / VisiCalc) - Program to demonstrate ready implementation of propositional logic statements - for example implementation of logic program to find the gcd of two given integers		Lab - 7 : (logic programming - in prolog / VisiCalc) - Program to demonstrate ready implementation of propositional logic statements - for example implementation of logic program to find the gcd of two given integers

	Lab - 8 : (logic programming) - Program to demonstrate language specific features - for example implement a logic program to check whether a given NFA accepts the given string		Lab - 8 : (logic programming) - Program to demonstrate language specific features - for example implement a logic program to check whether a given NFA accepts the given string

	Lab - 9 : (concurrent programming - Java / Ada) Demonstration of concurrency support - for example program to find the least common ancestor of two given nodes in a binary tree may be implemented.		Lab - 9 : (concurrent programming - Java / Ada) Demonstration of concurrency support - for example program to find the least common ancestor of two given nodes in a binary tree may be implemented.

	Lab - 10 : (concurrent programming) - Demonstration of synchronized concurrency - for example program for the readers and writers problem may be implemented.		Lab - 10 : (concurrent programming) - Demonstration of synchronized concurrency - for example program for the readers and writers problem may be implemented.

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	Regularity = 5		Regularity = 5
	Total marks = 50		Total marks = 50

	== IT04 508(P) : HARDWARE LAB ==		== IT04 508(P) : HARDWARE LAB ==
	3 hours practical per week		3 hours practical per week