Introduction to Lagrange and Newton Interpolations,
Finite difference operators, Interpolating polynomial using finite differences, Hermite interpolations, Piecewise and spline interpolation

Basic Concepts, The Mean Variance, and Standard Deviation, Continuous-Type Data, Exploratory Data Analysis, Graphical
Comparisons of Data Sets, Probability Density and Mass Functions

Random Variables of the Discrete Type, Mathematical Expectation, Bernoulli Trials and the Binomial Distribution, The Moment-Generating Function, The Poisson Distribution, Random Variables of the Continuous Type, The Uniform and Exponential Distributions, The Gamma and Chi-Square
Distributions, The Normal Distribution, Distributions of Functions of a Random Variable, Distributions of Two Random Variables

Independent Random Variables, Distributions of Sums of
Independent Random Variables, Random Functions Associated with Normal Distributions, The Central Limit Theorem, Approximations for Discrete Distributions, The t and F Distributions

Point Estimation, Confidence Intervals for Means, Confidence Intervals for Difference of Two Means, Sample Size, Tests About Proportions, Tests of the Equality of Two Normal Distributions, Chi-Square Goodness of Fit Tests, Contingency Tables, Tests of the Equality of Several Means