MATHS-3 (B-TECH information technology 4th)

Part- A

1. Fourier series: Periodic Functions, Euler’s Formula. Even and odd Functions, Half range expansions,

Fourier series of different waveforms. [4]

2. Laplace transformations: Laplace transforms of various standard functions, properties of Laplace

transform. [4]

3. Partial Differential Equations: Formation of Partial Differential Equations, linear Partial Differential

Equations, Homogeneous Partial Differential Equations with constant coefficients. [5]

4. Functions of complex variables: Limits, continuity and derivatives of the function of complex variables,

Analytic function, Cauchy- Riemann equations, conjugate functions. [5]

Part- B

5. Linear Systems and Eigen- Values: Gauss - elimination method, gauss- Jordan method, Gauss- Seidel

iteration method, Rayleigh’s Power method for Eigen values and Eigenvectors. [4]

6. Differential Equations: Solutions of Initial values problems using Eulers, modified Eulers method and

Runge- kutta (upto fourth order) methods. [4]

7. Probability distribution: Binomial, Poisson and Normal distribution. [4]

8. Sampling Distribution & testing of Hypothesis: Sampling, Distribution of means and variance, ChiSquare

distribution, t- distribution, F- distribution. General concepts of hypothesis, Testing a statistical

Hypothesis, One and two tailed tests, critical region, Confidence interval estimation. Single and two

sample tests on proportion, mean and variance.