Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Topics: Quantitative Methods, Real Number System, Fraction, Ratio, Proportion, Percentages, Lowest Common Multiples, Factorisation, Highest Common Factors, Indices, Logarithms, Surds, Equations, Formulae, Linear Equations, Linear Simultaneous Equations, Quadratic Equations, Simultaneous Equations, Linear Equations, Quadratic Equations, Set Theory, set, Set Notations, Sets Operation, Venn Diagrams, Arithmetic Progression, Geometric Progression, Sequence, Series, Polynomial, Binomial Theorem, Partial Fractions, Binomial Expansions, Factorials, Permutation, Combination, Matrix Operations, Matrices

Topics: Biostatistics, measures of central tendency, measures of variability, probability, permutations, random variables, Bernoulli Distribution, Binomial Distribution, Geometric Distribution, Hyper-geometric Distribution, Negative Binomial Distribution, Poisson Distribution, Multinomial Distribution, Uniform Distribution, Normal Distribution, Multivariate Normal Distribution, Logistic Distribution, Chi-square Distribution, Gamma Distribution, Exponential Distribution, Beta Distribution, Dirichlet Distribution, population sample, central limit theorem, degrees of freedom, parameters estimation, point estimation, maximum likelihood estimation, interval estimation, hypothesis testing, simple linear regression, simple regression model, partitioning total variability, partial correlation, rank correlation, likelihood ratio test, robust regression, curvilinear regression, polynomial regression, segmented regression, Least Significance Difference, intraclass correlation, experimental error, randomized complete block design, Partitioning Total Variability