Topics: ORBITAL COMBINATIONS, ORBITAL HYBRIDIZATION THEORY, HYDROCARBONS, ALKANES, SIGMA BONDING, ALKENES, ALKYNES

Topics: Reinforced Concrete Design, Design processes, composite action, stress-strain relations, shrinkage, thermal movement, creep, materials specification, Limit state design, Characteristics material strengths, Combination of actions, Load combinations, Beams analysis, Frames Analysis, Shear wall structures resisting horizontal loads, Moments redistribution, Rectangular-parabolic stress block, Triangular stress block, Shear, bond, Torsion, Anchorage bond, span-effective depth ratio, deflection calculation, flexural cracking, Thermal cracking, Shrinkage cracking, Reinforced concrete beams design, Reinforced concrete slabs design, Column design, column classification, slender column design, Foundations design, Retaining walls design, Prestressed concrete, Water-retaining structures, composite construction, Footings, Reinforcement details, Shear connector design

Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

Topics: Mathematics, quadratic equations, indices, logarithms, remainder theorem, undetermined coefficients, partial fractions, arithmetic progression, geometrical progression permutations, combinations, binomial theorem, trigonometric ratio, addition theorem, sine formula, cosine formula, tangent formula, differential calculus, differentiation, logarithmic functions, exponential functions, coordinates, coordinate geometry, parabola, ellipse, hyperbola, complex numbers, matrices

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: Algebra, Polynomials, Polynomial Equations, Inequalities, Rational Functions, Curve Sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, complex numbers, matrix, linear equations, determinants, Cramer's rule, sets

Topics: Probability, Permutations, Combinations, probability laws, conditional Probability, independence rule, Bayes rule, random variables, Chebyshev's inequality, Bernoulli distribution, Binomial Probability distribution, Negative binomial distribution, geometric distribution, Poisson distribution, hypergeometric distribution, uniform distribution, rectangular distribution, normal distribution, Joint marginal distribution, conditional distribution, Gamma distribution, Chi-square distribution

Topics: Polynomials, rational functions, linear equations, simultaenous equation, quadratic equations, remainder theorem, factor theorem, inequalities, domain range, partial fractions, curve sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, telescoping series, limits, sums to infinity, complex numbers, Aragand diagram, De Moivre's theorem, matrices, determinants, rank of a matrix, Cramer's rule, sets, vennn diagram, binary operations, real number systems

Topics: Generally Accepted Accounting Principles, International Accounting Standards Board, FINANCIAL REPORTING, Segment Reporting, Business Combinations, Interim Financial Reporting, Borrowing Costs, Impairment Loss, REGULATORY FRAMEWORK