Topics: Mathematics for Managers, Statistics for Managers, Number System, Analysis of Correlation, Analysis of Regression, Measures of Dispersion, Measures of Central Tendency, Analysis of Progressions, Quadratic Equation, Simultaneous Linear Equation, Linear Equation, Analysis of Variation

Topics: Chemistry Calculations, Masses and Formulae, Relative Atomic and Molecular Masses, Mass Percentage Composition, Valency, Chemical Formula, Empirical and Molecular Formulae, Reduced Mass, Chemical Reaction, Stoichiometry, Mole, Chemical Equations, Reaction Stoichiometry, Chemical Laws, Redox Reactions, IUPAC Nomenclature, Oxidation Number, Redox Equations, IUPAC Nomenclature of Inorganic Substances, Atomic Structure, Chemical Bonding, Dalton’s Atomic Theory, Wave-Particle Duality of Matter, Uncertainty Principle, Ionization Energy, Ionic Bond, Lattice Energy, Covalent Bond, Heat of Reaction, Dipole Moment, Formal Charge, The Gaseous State, Gas Pressure, Gas Laws, Critical Constants of Gases and Equations of State for Real Gases, Reduced State Properties, Gas Density, Gas Stoichiometry, Molar Volume of Gases, Relative Vapour Density, Gas diffusion, Mole Fraction, Kinetic Theory of Gases, The Solid and Liquid States, Vapour Pressure, Change of State, Density of Solids, X-Ray Crystallography, Determination of Viscosity of Liquids from Stokes’ Law, Surface Tension, Properties of Solutions, Concentration, Molality, Solubility, Solubility Product, Colligative Properties of Solutions, Conductance of Solutions, Quantitative Analysis, Volumetric Analysis, Gravimetric Analysis, Thermodynamics, Calorimetry, Heat (Enthalpy Change) of Physical Change, Heat (Enthalpy Change) of Reaction, Heat Capacities of Gases, Thermodynamics of Solutions, The First Law of Thermodynamics, The Second Law of Thermodynamics, Efficiency, Electrochemistry, Electrochemical Cells, Electrolysis, Chemical Equilibria, Le Chatelier’s Principle, Position of Equilibrium, Equilibrium Constant, Reaction Quotient, Acid-Base Equilibria, Acid Ionization Constants, Base Ionization Constants, Water Autoionization Constant, Hydrogen Ion Concentration, Buffer Solutions, Salts, Chemical Kinetics, Rates of Reactions, Rate Law, Nuclear Chemistry, Radioactivity, Nuclear Reactions

Topics: Redox reactions, voltaic cells, electrode potentials, Nernst equation, electrolytic cells, oxidation numbers, balancing redox equations, redox chemistry, Electrochemistry, voltaic cells, cell notation, electrolytic cells, standard electrode potentials, standard hydrogen electrode, standard redox table, standard cell voltage, redox reactions, standard cell potential, equilibrium constant, Nernst equation

Topics: atomic theory, atoms, Joseph John Thomson atomic model, cathode ray tube, Plum-pudding model, electromagnetic spectrum, subatomic particles, atomic number, mass number, relative atomic mass, mass spectrometer, mass spectra, isotopes, periodic law, transition element, Ionizations energy, electronegativity, atomic radius, ionic radius, electronic configuration, wave mechanical model, quantum numbers, electronic configuration of elements, Heisenberg uncertainty principle, Pauli's exclusion principle, Hund's rule, Aufbau‟s principle, atomic model hybridization, chemical symbols, chemical formula, molecular formula, structural formula, chemical equations, stoichiometry, mole concept, Avogadro's number, gram formula mass, gas laws, Boyle's law, Charles law, general gas equation, standard temperature and pressure, electrochemistry, cell notation, Standard Electrode Potentials, electrochemical, Daniel cell, cell potential electrolysis, reduction reaction, oxidation reaction, oxidation number, REDOX equation, chemical equilibrium, Lechatelier's Principle, solution chemistry, solubility, Raoult's law, nuclear reaction, radioactivity, Alpha rays, Beta rays, Gamma rays, natural radioactive decay series, thorium series, uranium series, actinium series, neptunium series

Topics: Thermodynamics, steady-flow equation, working fluid, reversible process, polytropic process, heat engine, entropy, exergy, heat engine cycle, carnot cycle absolute temperature scale, constant pressure cycle, air standard cycle. Otto cycle, diesel cycle, dual combustion cycle, combustion, fuels, combustion equations, enthalpy, power plant thermal efficiency, steam cycles, rankine cycle, gas turbine cycles, nozzles, jet propulsion, rotodynamic machinery, reciprocating internal-combustion engines, engine output, engine efficiency, supercharging, refrigeration, heat pumps, reversed heat engine cycles, vapour-compression cycles, gas cycles, psychrometry, air-conditioning, heat transfer, conduction equation, conduction, convection, heat exchangers, black-body radiation, combined cycles

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: Calculus, Trigonometric Functions, functions, limits, continuity, One-Sided Limits, Differentiation Rules, Derivatives, chain rule, implict differentiation, related rates, linearization, differentials, Mean Value Theorem, integrals, Monotonic Functions, First Derivative Test, Concavity, Curve Sketching, Applied Optimization, antiderivatives, Sigma Notation, limits of Finite Sums, Definite integral, Transcendental Functions, inverse functions, natural logarithms, exponential functions, exponential change, seperable differential equation, Indeterminate Form, L’Hôpital’s Rule, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, integration, trigonometric integrals, trigonometric substitution, Integral Tables, Computer Algebra Systems, probability, numerical integration, improper integrals, probability, First-Order Differential Equations, Slope Fields, Euler’s Method, First-Order Linear Equations, Infinite Sequences, infinite Series, integral test, comparison test, absolute convergence, power series, alternating series, Taylor series, Maclaurin series, Parametric Equations, Polar Coordinates, Conic Sections, vector, Partial Derivatives, Lagrange Multipliers, Multiple Integrals, vector fields, Path Independence, Conservative Fields, Potential Functions, Green’s Theorem, Surface Integrals, Stokes Theorem, Divergence Theorem

Topics: temperature, temperature units, atomic mass, molar mass, molecular mass, relative atomic mass, emperical formula, chemical formula, limiting reactant, chemical reactions, gas, gas volume, pressure, standard atmospheric pressure, pressure measurement, gas law, Boyle's law, Charles's law, Gay-lussac law, combined gas law, ideal gas, ideal gas law, kinetic theory, avogardo hypothesis, molar volume, gas volume, gas stoichiometry, thermochemistry, heat, heat capacity, calorimetry, energy, enthalphy, thermochemical reactions, atomic structure, particle, waves, Pauli principle, Periodic law, Aufbau principle, Electron configuration, Atomic radii, ionization energy, electron affinity, chemical bonding, molecular structure, ionic compounds, covalence, valence-bond representation, molecular-orbital representation, π BONDING, MULTICENTER π BONDS, coordination compounds, isomerism, solid, liquid, crystals, crystal forces, Ionic Radii, oxidation-reduction, oxidation number, oxidizing agents, reducing agents, ionic notation, balancing equations, concentration, concentration scales, concentration units, dilution, volumetric standard solutions, vapor pressure lowering, freezing-point lowering, boiling-point lowering, Boiling-point elevation, osmotic pressure, Law of distribution, isomerism, functional groups, organic chemistry, biochemistry, thermodynamics, chemical equilibrium, Equilibrium constant, Le Chatelier's principle, acid, base, hydrolysis, buffer solution, indicators, weak polyprotic acids, tittration, complex ions, coordination complexes, electrochemistry, solubility product, electrical units, electrolysis, voltaic cells, standard half-cell potentials, free energy, Nonstandard potentials, rate of reactions, rate constant, energy of activation, Nuclear process, Binding energy, nuclear equations, radiochemistry

Topics: economics mathematics, differentiation, integral calculus, First order difference equations, differential equations, constrained optimization-Lagrangian multiplier, linear programming, simplex method