B.E. SEM III (INFORMATION TECHNOLOGY)

GUJARAT UNIVERSITY

B.E. SEM III (INFORMATION TECHNOLOGY)

IT 301 Advanced Mathematics

Subject	Code	Teaching Scheme		Examination Scheme
Advanced Mathematics	IT 301	Theory	Lab/ Pract	Exam	Theory Paper	Theory Marks	Pract	TW	Total
		04	-	Sessional	1.5 Hr	50	-	-	150
				University	3 Hr	100

1.   Fourier series :

      Periodic functions, Drichlet's conditions, Fourier series, Euler's formula. Fourier expansion of periodic functions with periodic functions with period 2π, Fourier series of even and odd functions. Fourier series of periodic functions with arbitrary periods, Half range Fourier series. Harmonic analysis.

2.   Higher Order differential equations :

       Linear differential equations of higher order with constant coefficients, Method of variation of parameters, Higher order linear differential equations with variable coefficients (Cauchy's and legendre forms), Series solution, Simultaneous linear differential equations, Models for the real world problems and their solutions. 

3.   Partial Differential equations :

      Formation of partial differential equations, Directly integrable equations, Lagrange's equation, Solutions of special type of non-linear partial differential equations of the first order, Homogeneous linear equations with constant coefficients, Method of separation of variables, solution of one dimensional wave equation, heat equation and Laplace equation.

4.   Matrices:

      Caley-Hamilton's theorem, Special matrices like Hermitian, Skew-Hermitian and Unitary. Reduction to diagonal form, Quadratic forms.

5.   Functions of complex variables :

      Reorientation, Analytic function, Cauchy- Riemann equations (Cartesian and polar forms), Harmonic functions, orthogonal property, conformal mappings, some standard conformal transformation. Complex integration, Cauchy's integral theorem and Cauchy’s integral formula.

Reference Books :

1.         Erwin Kreyszig             :           Advanced Engineering Mathematics

                                                            (8^th Edition) Wiley Eastern Ltd., New Delhi.

2.         Dr. K.R. Kachot           :           Higher Engineering Mathematics, Vol-II

                                                            Mahajan Publishers, Ahmedabad.

3.         Dr. B.S. Grewal            :           Higher Engineering Mathematics

                                                            Khanna Publishers, New Delhi.

4.         N.P. Bali, Ashok Saxena :          A Text book on Engineering Mathematics

            & Iyengar                                 Laxmi Publications (P) Ltd., New Delhi.

5.         H.K. Dass                    :           Advanced Engineering Mathematics

                                                            S. Chand & Co. (Pvt.) Ltd., New Delhi.

6.         G.V. Kumbhojkar          :           Engineering Mathematics – Vol. I, II, III, IV

                                                            Jamnadas & Co. Bombay

Posted in: B.E. SEM III (INFORMATION TECHNOLOGY)