Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Topics: Statistical Inference, summarizing data, simple random sampling, population variance, normal approximation, confidence intervals, inference, Maximum Likelihood, Hypothesis Testing, Wald test, t-test, Permutation Test, Likelihood Ratio Test, Testing Mendel’s Theory, Multiple Testing, Regression Function, Regression Model, Scatter Plots, Simple Linear Regression Model, Ordinary Least Squares, Interval Estimation, Prediction, Graphic Residual Analysis

Topics: Linear Programming, Linear Programming Model Formulation, Graphical Method, Simplex Method, Duality in Linear Programming, Dual Linear Programming Problem, Sensitivity Analysis, Integer Linear Programming, Goal Programming, Transportation Problem, Assignment Problem, Decision Theory, Decision Trees, Theory of Games, game theory, Project Management, Deterministic Inventory Control Models, Probabilistic Inventory Control Models, Queuing Theory, Replacement Models, Maintenance Models, Markov Chains, Simulation, Sequencing Problems, Information Theory, Dynamic Programming, Classical Optimization Methods, Non-Linear Programming Methods, Revised Simplex Method, Dual-Simplex Method, Bounded Variables Linear Programming Problem, Parametric Linear Programming

Topics: statistics, summarizing data, listing, grouping, Numerical data, Stem-and-Leaf Displays, frequency distribution, graphical presentations, Summarizing Two-Variable Data, population, sample, mean, weighted mean, median, mode, grouped data, measures of variation, range, standard deviation, variance, posibility, probability, counting, permutation, combination, sample spaces, events, odds, conditional probability, multiplication rules, Bayes theorem, Mathematical Expectation, expectation, decision, decision making, Statistical Decision Problems, Random Variable, probability distributions, binomial distributions, hypergeometric distributions, Poisson distribution, Multinomial distribution, Mean of a Probability Distribution, Standard Deviation of a Probability Distribution, normal distribution, Continuous Distributions, sampling, random sampling, sample designs, systematic sampling, stratified sampling, cluster sampling, sampling distribuions, central limit theorem, estimation, Tests of Hypotheses, Significance Tests, One-Way Analysis of Variance, analysis of variance, Multiple Comparisons, Two-Way Analysis of Variance, Design of Experiments, Design of Experiments, regression, Curve Fitting, Regression Analysis, Multiple Regression, Nonlinear Regression, Coefficient of Correlation, correlation, Correlation Analysis, Multiple Correlation, Partial Correlation, Nonparametric tests, sign test, signed-rank test, U test, H test, Tests of Randomness, Rank Correlation

Topics: Statistical Analysis, statistical data, statistical method, sampling, sample size, data preparation, data cleaning, missing data, data errors, statistical error, probability theory, odds, risk, frequentist probability theory, Bayesian probability theory, probability distribution, statistical modelling, computational statistics, inference, bias, confounding, hypothesis testing, statistical significance, confidence intervals, Non-parametric analysis, descriptive statistics, measures of central tendency, statistical indices, key functions, matrix, data transformation, data standardization, Box-cox, power transforms, Freeman-turkey transform, log transform, exponential transforms, logit transform, Normal transform, Z-transform, data exploration, graphic, visualization, exploratory data analysis, randomness, randomization, random numbers, random permutations, correlation, autocorrelation, probability distributions, eestimations, estimators, Maximum likelihood estimation, Bayesian estimation, z-test, T-test, variance test, contigency tables, randomized block designs, factorial designs, Analysis of variance, Analysis of covariance, ANOVA, MANOVA, ANCOVA, regression, smoothing, time series analysis

Topics: Instructional Material Resources, Instructional Resources, communication, graphic visual materias, still pictures, chalkboards, display board, projected visuals, three dimensional visuals, audio visual media, audio media

Topics: Statistics, variables, measurement, data, Descriptive Statistics, Qualitative data, quantitative data, Frequency Distribution Table, Graphical Presentation, frequency intervals, Histogram, Pie Chart, Measures of Central Tendency, Measures of Dispersion, mean, median, skewness, Mode, Variability, Range, quartile, Variance, percentile, Standard Deviation

Topics: Theories of Probability, priori probability, Axiomatic theory of probability, Collecting Statistical Data, Tabulated Presentation of Data, Diagrammatic Presentation of Data, Graphic Presentation of Data, Central Tendency, Dispersion, Dispersion, Correlation, Chi-Square Test, Normal Curve, Sampling Distribution, Normal Distribution, Statistical Decision, Variance-Ratio Test, Analysis of Variance, ANOVA, Nonparametric Statistical Tests, Statistical Quality Control in Clinical Laboratories, Quality Control Measures, Applications of Microsoft Excel in Statistical Methods

Topics: problem solving, programming, arithmetic, array, I/O concept.functions, control structures, characters, complex, logical, derived types, pointers, subroutines, modules, data structuring in FORTRAN, algorithm, big O notation, operator over loading, generic programming, Parameterised Derived Types, Object Oriented Programming, submodules, parallel programming, message passing interface, openMP, coarray FORTRAN, C interop, IEEE arithmetic, derived type I/O, sorting, searching, handling missing data, graphic libraries, Abstract Interface, Procedure Pointer

Topics: Framework, Descriptive Statistics, Population, Sample, Observations, Frequency Measures, Graphical Representation of Data, Measures of Central Tendency, Measures of Dispersion, Measures of Concentration, lorenz curve, discrete variables, continours variables, probability calculus, combinatorics, probability theory, random variables, probability distribution, inductive statistics, hypothesis testing, parametric test, linear regression