Topics: Research methodology, applied biostatics, sampling technique, sample size determination, sampling, graphical presentation

Topics: Java, algorithms, data types, variable declarations, number types, arithmetic expressions, statements, control flow, Boolean expressions, functional abstraction, recursion, arrays, objects, data abstraction, enumeration operation, inheritance, graphical user interface, dynamic data structures, concurrent programming

Topics: objects, classes, object interaction, grouping objects, arrays, object class, graphical user interface, exception handling

Topics: discrete mathematics, mathematical logic, functions, proofs, set theory, set operations, axiomatic set theory, real numbers, arithmetic, induction, recursion, summation notation, Asymptotic notation, number theory, graphs, multiplication, exponentiation, binomial coefficients, generating functions, probability theory, random variables, Markov's inequality, probability generating functions, linear algebra, abstract vector spaces, finite fields

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

Topics: Parameters, Statistics, Statistical data analysis, Variables, organization of the data, tables, graphs, Sample Distributions, Population Distributions

Topics: statistical data, data collection, data representation, table, graph, chart, mean, mode, median, measures of dispersion, grouped data, ungrouped data, regression analysis, correlation analysis, analysis of variance

Topics: Scope of Statistics, statistical data, data types, scale of measurements, data collection, survey sampling techniques, Data presentation, Bar Charts, Histogram, polygons, graphs, Errors, approximation, Frequency, relative frequency, cumulative frequency distributions, Measure of location, Measure of dispersion, Skewness, Kurtosis, Rates, Ratios, index numbers, weight quantity, Rates, Ratio, index numbers

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: Crystal Structures, Unit cells, crystal systems, Symmetry, Lattice planes, Miller indices, carbon graphite, inorganic chemistry, crystalline solids