Topics: kinetic theory of matter, diffusion, compounds, experimental techniques, elements, separating mixtures, gels, sols, foams, emulsions, atomic structure, atomic bonding, Ionic bonding, covalent bonding, glasses, ceramics, metallic bonding, Stoichiometry, chemical calculations, relative atomic mass, reacting masses, calculating masses, moles, chemical equations, electricity, electrolysis, electroplating, chemical energetics, fossil fuels, chemical energy, cells, batteries, chemical reactions, enzymes, acid, base, alkalis, salt formation, crystal hydrates, salt solubility, titration, periodic table, Alkali metal, alkaline earth metals, halogens, noble gases, transition elements, metal, metal reactions, metal nitrate decomposition, metal carbonate decomposition, metal oxide decomposition, metal reactivity, metal waste, rusting of iron, air, water, ammonia, artificial fertilizer, water cycle, water hardness, sulfur, sulfur dioxide, sulfuric acid, inorganic carbon chemistry, limestone, carbonates, carbon dioxide, organic chemistry, alkanes, alkenes, Biotechnology, alcohols, Carboxylic acids, soaps, detergents, Condensation polymers, biopolymers, Pharmaceuticals, Experimental chemistry

Topics: Soil Microbiology, soil habitat, soil solution chemistry, bacteria, archaea, Phylogeny, Biodegradation Capacity, soil fungi, Fungal Communities, Soil Fauna, Microfauna, Mesofauna, Macrofauna, Macroarthropods, protozoa, rotifera, nematoda, Microarthropods, Enchytraeids, DNA Reassociation Kinetics, soil biota, Microbial Metabolism, Plant-Soil Biota Interactions, carbo cycling, Rhizosphere, Geological Carbon Cycle, biological Carbon Cycle, Light Microscopy, Scanning Electron Microscopy, Transmission Electron Microscopy, Atomic Force Microscopy, X-Ray Spectro-Microscopy, X-Ray Computed Microtomography, Reaction Kinetics

Topics: Introduction to carbohydrates, their classification and examples, monosaccharides, disaccharides, polysaccharides, Asymmetric carbon, Anomeric carbon, mutarotation, amino sugars, deoxysugars, Mucopolysaccharidosis, Glycosamino-Glycan, Glycosylation, glycoproteins, ABO antigens, antigen

Topics: Alkene, vinylic carbon, allylic carbon, Geometrical isomers, cis–trans isomers, isomers, Ethene, Alkyne, Ethyne

Topics: real number system, Algebra, Algebraic fractions

Topics: Set theory, real numbers, comples numbers, rational function, partial fractions, binomial expansion, sequence, series, matrix, trignonometry, differentiation, integration

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry

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: 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