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: Materials Science, materials Engineering, Rutherford model, Bohr model, atom, De- Broglie’s atomic model, Atomic bonding, ionic bonding, covalent bonding, Secondary Bonding, metallic bonding, Fluctuating Induced Dipole Bonds, Polar Molecule-Induced Dipole Bonds, Permanent Dipole Bonds, Crystallography, crystal structures, Crystal Lattice, Bravais lattices, Metallic Crystal Structures, Polycrystalline Materials, Non-Crystalline Solids, Miller Indices, Point Defects, Mechanical Properties of Metals, Stress-Strain curve, Elastic deformation, plastic deformation, Tensile Properties, Brinell Hardness Test, Micro-hardness Test, Knoop Hardness Test, Scleroscope Hardness Test, durometer, fracture, creep, dislocation, Solid-Solution Strengthening, Microstructural Exam, Grain size determination, carbon steel, cast iron, alloy, Dielectric Materials, Dielectric strength, Intrinsic dielectric strength, Magnetic Properties, Diamagnetism, Ferromagnetism, Ferrimagnetism, Hard Magnetic Materials, Extrinsic Semiconductor, semiconductor

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

Topics: Probability, Random Variables, Probability Distributions, Moments, Generating Functions, Multiple Random Variables, Degenerate Distribution, Two-Point Distribution, Uniform Distribution on n Points, Sample Statistics, Random Sampling, Basic Asymptotics, Large Sample Theory, Parametric Point Estimation, Neyman–Pearson Theory, Hypotheses Testing, Confidence Estimation, General Linear Hypothesis, Nonparametric Statistical Inference

Topics: Colligative properties, freezing point depression, vapour pressure lowering, Boiling point elevation, osmotic pressure

Topics: Machine Arithmetic, Real Numbers, Machine Numbers, Rounding, Condition Numbers, Approximation, Interpolation, Least Squares Approximation, Polynomial Interpolation, Spline Functions, Numerical Differentiation, Numerical Integration, Nonlinear Equations, Iteration, Convergence, Efficiency, Method of False Position, Secant Method, Newton’s Method, Fixed Point Iteration, Algebraic Equations, Systems of Nonlinear Equations, Initial Value Problems for ODE, One-Step Methods, Numerical Methods, Euler’s Method, Taylor Expansion, Runge–Kutta Method, Error Monitoring, Step Control, Stiff Problems, Multistep Methods, Adams–Bashforth Method, Adams–Moulton Method, Predictor–Corrector Method, Two-Point Boundary Value Problems for ODEs, Initial Value Technique, Finite Difference Methods, Variational Methods

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: Organic Chemistry, chemical bond, quantum mechanics, atomic orbitals, electronic configuration, Pauli exclusion principle, molecular orbitals, covalent bond, hybrid orbitals, intramolecular forces, bond dissociation energy, homolysis, heterolysis, bonds polarity, melting point, intermolecular force, boiling point, solubility, acids, bases, isomerism, activation energy, hydrocarbons, methane structure, oxidation, heat of combustion, chlorination control, relative reactivity, reaction mechanisms, chlorination, free radicals, chain reactions inhibitors, transition state, molecular formula, chlorofluorocarbons, qualitative elemental analysis, quantitative elemental analysis, Alkene, free-radical substitution, ethane structure, Higher alkanes, alkyl groups, industrial source, Grignard reagent, halogenation, free radical stability, combustion, greenhouse effect, pyrolysis, cracking, alkane analysis, stereochemistry, stereoisomers, isomer number, tetrahedral carbon, optical activity, plane-polarized light, polarimeter, specific rotation, enantiomerism, chirality, chiral center, enantiomers, racemic modification, Diastereomers, meso structures, conformational isomers, optical purity, Alkyl halides, Nucleophilic aliphatic substitution, homolytic chemistry, heterolytic chemistry, Carbocations, Carbocations structure, alkyl halides analysis, alcohols, ethers, alcohol nomenclature, carbohydrates fermentation, Ethanol, alcohol preparation, alcohol reaction, alcohol oxidation, ethers preparation, Secondary Bonding, carbon-carbon double bond, Unsaturated hydrocarbon, ethylene structure, Propylene, Hybridization, orbital size, butylene, Geometric isomerism, alcohol dehydration, alkene reaction, hydrogen bromide addition, Hydrogenation, Electrophilic addition, Oxymercuration-demercuration, Hydroboration-oxidation, Alkene Free-radical polymerization, allylic Nucleophilic substitution, dienes, isoprene, isoprene rule, acetylene, Cyclic Aliphatic Compounds, cyclic compound stereoisomerism, cyclic ether, crown ethers, aromaticity, Benzene, aliphatic compounds, aromatic compounds, benzene structure, Kekule structure, Benzene ring, aromatic character, polynuclear aromatic hydrocarbons, Naphthalene, Quantitative elemental analysis, Electrophilic Aromatic Substitution, Friedel-Crafts alkylation mechanism, naphthalene electrophilic substitution, Aromatic-Aliphatic Compounds, Arenes, Spectroscopy, mass spectrum, electromagnetic spectrum, nuclear magnetic resonance spectrum, coupling consonants, chemical shift, aldehydes, ketones, Cannizaro reaction, Grignard reagents addition, Tetrahydropyranyl ethers, Iodoform test, Carboxylic Acids, Grignard synthesis, Dicarboxylic acids, acid chlorides, acid anhydrides, amides, esters, Transesterification, Aldol condensation, Wittig reaction, Crossed Claisen condensation, halides, ammonolysis, amide Hofmann degradation, Heterocyclic amines

Topics: probability, random variables, distribution function, expectation, moments, chebyshev inequality, Jensen inequality, univariate distribution, discrete distribution, continuous distribution, comments, joint distribution function, conditional distribution, stochastic independence, covariance, correlation, distribution of function, sampling, sampling distribution, sample mean, order statistics, parametric point estimation, point estimators, sufficiency, unbiased estimation, location invariance, scale invariance, Bayes estimator, vector of parameters, parametric interval estimation, confidence interval, test of hypothesis, loss function, Chi-square test, linear model, Nonparametric method, tolerance limit

Topics: probability, random variables, distribution function, expectation, moments, chebyshev inequality, Jensen inequality, univariate distribution, discrete distribution, continuous distribution, comments, joint distribution function, conditional distribution, stochastic independence, covariance, correlation, distribution of function, sampling, sampling distribution, sample mean, order statistics, parametric point estimation, point estimators, sufficiency, unbiased estimation, location invariance, scale invariance, Bayes estimator, vector of parameters, parametric interval estimation, confidence interval, test of hypothesis, loss function, Chi-square test, linear model, Nonparametric method, tolerance limit