Maths -3
Function of Complex variable
Statistical Techniques - I
Statistical Techniques - II
Numerical Technique - I
Numerical Technique - II
- Analytical Functions
- Hurwitz Theorem
- Complex Arithmetic
- Topology of the Complex Plane
- The Exponential Function
- Polar Form of a Complex Number
- Roots of Complex Numbers
- Cauchy Integral Theorem
- Cauchy Integral Formula for Derivatives
- Fundamental Theorem of Algebra
- Sequences of Holomorphic Functions and their Derivatives
- Isolated Singularities
- Laurent Series
- Annulus of Convergence
- Calculus of Residues
- Evaluation of Definite Integrals
- Complexification of the Integrand
- Relation with Harmonic Functions
- Taylor Series
- Evaluation of Real Integrals by Contour Integration
- Concept of Moment
- Moments about Origin in Term of Moments about any Point
- Moment Generating Function
- Skewness
- Kurtosis
- Random Variable
- Curve Fitting
- Problems on Curve Fitting
- Polynomials Least-Squares Fitting
- Fitting an Exponential Curve
- Fitting a Curve of Different Types
- Correlation
- Methods of Determining Correlation
- Rank Correlation
- Regression
- Probability Theory
- Probability Thorem
- Binomial Distribution
- Variance and Standard Deviation of Binomial Distribution
- Constants of Binomial Distribution
- Poisson Distribution
- Normal Distribution
- Sampling Theory
- Test for the Difference of Two Sample Means
- Chi-Square Test
- Analysis of Variance
- Techniques of One-way Analysis of Variance
- Time Series and Forecasting
- Measurement of Secular Trend
- Statistical Quality Control Method
- Control Charts for Variables
- Control Charts for Attributes
- Bisection Method
- Regular Falsi Method
- Newton Raphson Method
- Convergence of Newton-Raphson Method
- Rate of Convergence
- Interpolation
- Difference Operators
- Newton Forward Interpolation
- Newton Backward Interpolation
- Lagranges Interpolation
- Newtons Divided Difference Interpolation Formula
- Problems on Interpolation Method