Topics: Classical Optimization Techniques, Linear Programming, Simplex Method, One-Dimensional Minimization Methods, Nonlinear Programming, Geometric Programming, Dynamic Programming, Integer Programming, Stochastic Programming, Optimal Control, Optimality Criteria Methods, Convex Functions, Concave Functions

Topics: Business Decisions, Decision Making, Mathematical Tools, Equation, Inequalities, Simultaneous Equations, Linear Functions, Linear Inequalities, Matrix Algebra, Applied Differential Calculus, Statistical Tools, Correlation Theory, Forecasting, Time-Series Analysis, Index Numbers, Inventory Control, Decision Analysis, Network Planning, network analysis, Arithmetic Progression, Geometric Progression, Interest Rate, Depreciation, Present Values, Investment Analysis

Topics: indices, logarithm, surd, quadratic equations, permutation, combination, set theory, arithmetic progression, geometric progression, binomial theorem, vectors, trigonometric functions

Topics: Mathematical Tools, Equation, Inequalities, Simultaneous Equations, Linear Functions, Linear Inequalities, Matrix Algebra, Applied Differential Calculus, Sets, Set Operations, Probability Theory, Correlation Theory, Forecasting, Time-Series Analysis, Index Numbers, Inventory Control, Decision Analysis, Network Planning, Network Analysis, Arithmetic Progression, Geometric Progression, Interest Rate, Depreciation, Present Values, Investment Analysis, Statistics, Sampling Techniques, Marketing

Topics: Business Statistics, Data Collection, Decision Making Process, Summarizing Data, Graphical Presentation of Data, Measures of Central Tendency, Arithmetic Mean, Geometric Mean, Harmonic Mean, Median, Mode, Measures of Dispersion, Set theory, Permutation, Combination, Probability Rules, Events, Bayes' Theorem, Probability Distribution, Discrete Random Variable, Correlation Theory, Pearson‘s Correlation Coefficient, Spearman‘s Regression Analysis, Lease Square Regression Analysis, Multiple Regression Analysis, T-test, F-Test, Chi-square, ANOVA

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: digital image processing, Continuous Image Mathematical Characterization, Continuous Image Characterization, light perception, eye physiology, visual phenomena, monochrome vision model, Photometry, Colorimetry, color matching, color spaces, image sampling, image reconstruction, Monochrome Image Sampling Systems, Monochrome Image Reconstruction Systems, Color Image Sampling Systems, image measurement, Discrete Image Mathematical Characterization, Vector-Space Image Representation, Generalized Two-Dimensional Linear Operator, Image Statistical Characterization, Image Probability Density Models, Linear Operator Statistical Representation, Finite-Area Superposition, Finite-Area Convolution, Sampled Image Superposition, Sampled Image Convolution, Circulant Superposition, circulant Convolution, General Unitary Transforms, Fourier transform, cosine transform, sine transform, Hartley transform, Hadamard Transforms, Haar Transforms, Daubechies Transforms, Karhunen–Loeve Transform, wavelet transforms, Linear Processing Techniques, Transform Domain Processing, Transform Domain Superposition, Fast Fourier Transform Convolution, Fourier Transform Filtering, image improvement, Image Enhancement, Contrast Manipulation, Histogram Modification, noise cleaning, Edge Crispening, Color Image Enhancement, Multispectral Image Enhancement, image restoration, image restoration models, Continuous Image Spatial Filtering Restoration, Pseudoinverse Spatial Image Restoration, Statistical Estimation Spatial Image Restoration, Multi-Plane Image Restoration, Geometrical Image Modification, Morphological Image Processing, binary image, Edge Detection, Image Feature Extraction, Image Segmentation, shape analysis, Image Detection, image Registration, Point Processing Image Compression, image compression, video compression, Spatial Processing Image Compression

Topics: Statistics, data collection techniques, data presentation, data tabulation, measures of central tendency, geometric mean, arithmetic mean, harmonic mean, median, quartile, percentile, measures of dispersion, population, sampling, probability, factorial, permutation, combinations, mathematical expectations, binomial distribution, Poisson distribution, Normal distribution, central limit theory, confidence interval, statistical estimation, hypothesis test, Z distribution, F distribution, student's distribution, Chi Square Analysis, Chi square test, correlation analysis, regression analysis, Regression Equation

Topics: elements, compounds, atomic theory, chemical reaction, atom constituents, chemical symbols, chemical formulae, chemical reactions, chemical equations, electronic configuration, atomic number, mass numbers, nuclear atom, electronic, energy levels, Ion formations, nuclear reactions, radioactivity, nuclear radiations, nuclear fusion, nuclear fission, radioactivity hazards, chemical bonding, electrovalent bonding, Ionic bonding, electrovalent compounds, covalent bonding, covalent compounds, coordinate covalent bonding, dative covalent bonding, metallic bonding, intermolecular bonding, Van der Waal's forces, dipole-dipole attractions, hydrogen bonding, periodic table, periodic law, transition elements, atomic orbital model, principal quantum number, subsidiary quantum number, azimuthal quantum number, magnetic quantum number, spin quantum number, atomic orbital shape, atomic size, ionic radius, ionization energy, electron affinity, electronegativity, mole concept, melting, vaporization, boiling point, evaporation sublimation, heating graphs, cooling graphs, Boyle's law, Charles's law, Avogadro's law, boiling, solid classification, solid properties, molecular solid, metallic solid, Ionic solid, covalent solid, energy changes, heat content, heat of reaction, exothermic reactions, energy level diagrams, standard state, thermochemical equations, entropy, entropy change, free energy, chemical kinetic, rate of a chemical reaction, temperature, gas pressure, catalyst, activation, reaction rate, collision theory, Le Chatelier's principle, Haber process, contact process, salt hydrolysis, buffer solutions, common Ion effect, solubility product, Acid bases, salt, electrolysis, redox reactions, electrolytic conduction, oxidation, reduction, copper purification, electroplating, quantitative hydrolysis, metal corrosion, iron rusting, carbon, carbon allotropes, Diamond graphite, amorphous carbon, combustion reactions, industrial gas chemistry, metals, alloys, chemical industry, heavy chemicals, fine chemicals, fertilizers, plastics, soaps, detergents, pharmaceuticals, Nigerian chemical industry, aromatic compounds, Alicyclic compound, heterocyclic compound, homologous series, functional groups, isomerism, structural isomerism, geometric isomerism, IUPAC Nomenclature of organic compounds, purification methods, distillation, crystallization, chromatography, empirical formula, molecular formular, alkanes, natural gas, petroleum crude oil, benzene, fractional distillation petrol quality, cracking, isomerization, petrochemicals, alkanols, alkanoic acid, alkenoate, fat, oils, amino acid, polymer chemistry, polymerization processes, condensation polymerization, resins, natural polymers, carbohydrates, proteins, synthetic polymers, water pollution