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

Topics: artificial intelligence, equational logic programming, equational logic programs, paramodulation

Topics: Simple stress, simple strain, Shear stress, Saint-Venant's principle, Stress, strain, Modulus of elasticity, Modulus of Rigidity, Bar elongation, Superposition principle, Tapering section Bars, Elongation due to self-weight, Uniform strength column, Statically indeterminate systems, Temperature stresses, Shrinking on, Strain analysis, Tensile test diagram, Elastic constants, Three-Dimensional stress systems, Compound stress, compound stress, Principal stresses, Maximum shear stresses, Mohr's Stress cycle, Three coplanar stress, Ellipse of Stress, Strain Analysis, Principal Strain, Principal shear strain, Mohr's Strain cycle, Strain Energy, Shear force, Bending moment, Supports types, Bending stress in beams, Simple bending theory, Moment of inertia, Flitched beams, composite beams, Unsymmetrical bending, Ellipse of inertia, Shear stress in beams, Shear stress variation, Built-up beams, Shear centre, Deflection, Beam differential equation, Deflection at a point, Macaulay's method, Moment-Area method, Strain energy due to bending, Castigliano's First theorem, Deflection by castigliano's Theorem, Impact loading on beams, conjugate beam method, Betti's reciprocal deflections theorem, Maxwell's Reciprocal Deflection theorem, Fixed beams, Continuous beams, Fixidity Effects, Clapeyron's three moment equation, Torsion, Springs, Columns, Struts, Failure Theories, Plastic bending, Plane frame structures, Materials properties, Materials testing, Tensile testing, Compression testing, Torsion testing, Hardness testing, Impact testing, Fatigue testing

Topics: Fluid Mechanics, hydraulic machines, viscosity, compressibility, bulk modulus, surface tension, capillarity, vapor pressure, cavitation, Pascal's law, manometers, Piezometer, differential manometer, isothermal process, buoyancy, flotation, meta-center, fluid flow, continuity equation, velocity, acceleration, velocity potential function, stream function, equipotential line, Vortex flow, ideal flow, potential flow, momentum equation, free liquid jets, orifices, mouthpieces, notches, weirs, viscous flow, turbulent flow, Reynolds experiment, dimensional homogeneity, model analysis, dimensionless numbers, Boundary layer flow, compressible flow, Mach number, Jet propulsion, hydraulic machines, turbines, Pelton wheel, Radial flow reaction turbines, Francis turbine, axial flow reaction turbine, Draft tube, specific speed, unit quantities, centrifugal pumps, cavitation, maximum suction lift, net positive suction head, reciprocating pumps, air vessels, fluid system, hydraulic press, hydraulic accumulator, hydraulic intensifier, hydraulic ram, hydraulic lift, hydraulic crane, hydraulic coupling, hydraulic torque converter, air lift pump, gear-wheel pump