Course Objectives:

 It provides the basic mathematical idea to develop various computer information systems.
 It gives various mathematical tools for the computer system.
Course Content:
Unit I: Fundamental integrals ———————————————— 12 hours

 Introduction
 Indefinite integrals
 Techniques of Integration
 Integration by substitution
 Integration by parts
 Integration by partial fractions
 Definite Integrals
 Improper integrals
 Beta & Gamma function
 Double integral (Concept only)
Unit II: Application of integration ——————————————– 7 hours

 Introduction
 Rectification
 Quadrature
 Area under a curve
 Area between the curves
 Numerical
 Integration
 Rectangular rule
 Trapezoidal rule
 Simpson’s rule
 Volume
 Surface Area. B.
 Consumer’s surplus & Producer’s surplus
Unit III: Vector Space ———————————————————– 5 hours

 Introduction
 Vector space and subspaces with examples
 Linear combination of vectors
 Linear
 Dependence and independence of vectors
 Basis and dimension of vector space
Unit IV: Function of complex variables ————————————– 8 hours

 Introduction
 Complex variable
 Function of complex variables
 Analytic function
 Necessary & sufficient conditions for f (z) to be analytic (without proof)
 Harmonic function,
 Conformal mappings
Unit V: Fourier series and Integrals —————————————– 11 hours

 Introduction
 Periodic function and trigonometric series
 Fourier series
 Fourier sine and cosine series
 Fourier series in complex form
 Fourier integral
 Fourier Sine and Cosine integrals
 Fourier Sine and Cosine transforms.
Unit VI: Taylor series ———————————————————— 5 hours

 Introduction
 Geometric series
 Convergence of the geometric series
 Taylor series
 Taylor series of a function of one or two variables
Text Books:

 Advance Engineering Mathematics , By Erwin Kreyszig, 8th edition .
 Calculus and Analytical Geometry, By Thomas and Finney
Reference Books:

 Applied Mathematics, By R . K. Thukurathi and Dr. K.K Shrestha
 Engineering Mathematics IV, By Toya Narayan Paudel, Sukunda Pustak Bhawan, Kathmandu Nepal.
 Differential Equation: By Agnew R.P.; New York, MC GRaw Hill Book Company 1960
 Introduction to Mathematical Physics: By Charlie Happer; prentice Hall of India Pvt. Ltd.
 Text Book on Algebra & Theory of Equations: By chandrika Prasad; Pothishala Pvt. Ltd.