Topics: mathematics, indices, logarithm, surd, positive square root, polynomials, partial fraction, quadratic equations, maximum value, minimum value, alpha functions, beta functions, simultaenous linear equation, binomial theorem, complex number, Arithemetic progression, geometric progression

Topics: JAMB, Biology, chemistry, physics

Topics: Business Mathematics, symbolic login, matrices, determinants, vectors, complex numbers, straight lines, circle, sequence, series, limits differentiation, maximum points, minimum points, linear programming, matrix, vector addition, vector subtraction, position vectors

Topics: Chemistry, Fatty acids, fats, oils, lipids, fatty acids, iodine number, Unsaturated Fatty Acids, Unsaturated Fatty Acids melting points, saturated Fatty Acids melting points, Fatty Acid Synthesis, fatty acid reactions, oil Hydrogenation, oil hardening, Saponification, Saponification number, hydrolysis, esterification, Ester Exchange Reactions, Acidolysis, Alcoholysis, Glycolysis, Interesterification, oxidation, Transesterification, Auto-oxidation, photooxidation, rancidity, Ozonolysis, Epoxidation, Hydroxylation, Oxidative Cleavage, double bonds Hydrogenation, Catalytic Partial Hydrogenation, modfying fatty acid structure, Isomerization, Neighboring functional Group Participation, Friedel Crafts Acylation, Synthesis of Palmitin from Palmitic acid, Synthesis of Stearin (triglyceride) from Olein

Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Topics: Tangent, Approximation, rate of change, Turning points, Asymptotes, Inflection point

Topics: Integration, definite integral, increasing function, decreasing function, stationary points, maximum point, minimum point, application of integration

Topics: Atomic bonding, classification of materials, atomic packaging and crystal structures, unit cells and lattice points, pyrometallurgy, hydro metallurgy, electrometallurgy

Topics: atomic structure, interatomic bonding, crystalline solids, crystals, atomic bonding, diffusion, dislocation, strengthening mechanisms, failure, mechanical properties, phase diagrams, phase transformations, alloy, ceramic, polymer, corrosion, degradation, composites, polymer synthesis, polymer processing, oxidation, electrical properties, magnetic properties, optical properties, thermal properties, unit cell, density computation, Polymorphism, Allotropy, Crystallographic points, Crystallographic directions, polycrystalline materials, anisotropy, X-ray diffraction, plastic deformation, point defects, atomic vibration, fick's law, Stress–Strain Behavior, Anelasticity, fatigue, creep, solubility limit, phase equilibria

Topics: atomic structure, interatomic bonding, crystalline solids, crystals, atomic bonding, diffusion, dislocation, strengthening mechanisms, failure, mechanical properties, phase diagrams, phase transformations, alloy, ceramic, polymer, corrosion, degradation, composites, polymer synthesis, polymer processing, oxidation, electrical properties, magnetic properties, optical properties, thermal properties, unit cell, density computation, Polymorphism, Allotropy, Crystallographic points, Crystallographic directions, polycrystalline materials, anisotropy, X-ray diffraction, plastic deformation, point defects, atomic vibration, fick's law, Stress–Strain Behavior, Anelasticity, fatigue, creep, solubility limit, phase equilibria