Topics: Finite sequences, finite series, complex numbers, binomial theorem, quadratic function, quadratic equation, Trigonometric equations, Trigonometric functions, solution of triangles, differential calculus, differentiation, differentiation techniques, logarithmic functions, exponential functions, intefration, integral calculus, differential equations, co-ordinate geometry, straight line, parabola, ellipse, hyperbola, numerical methods, vectors

Topics: Soil Microbiology, soil habitat, soil solution chemistry, bacteria, archaea, Phylogeny, Biodegradation Capacity, soil fungi, Fungal Communities, Soil Fauna, Microfauna, Mesofauna, Macrofauna, Macroarthropods, protozoa, rotifera, nematoda, Microarthropods, Enchytraeids, DNA Reassociation Kinetics, soil biota, Microbial Metabolism, Plant-Soil Biota Interactions, carbo cycling, Rhizosphere, Geological Carbon Cycle, biological Carbon Cycle, Light Microscopy, Scanning Electron Microscopy, Transmission Electron Microscopy, Atomic Force Microscopy, X-Ray Spectro-Microscopy, X-Ray Computed Microtomography, Reaction Kinetics

Topics: matter, energy, atom, molecule, ion, chemical reaction, Reaction Stoichiometry, thermochemistry, electronic structure, chemical bonding, molecular geometry, bonding theorues, gases, liquid intermolecular forces, solids, solutions, chemical kinetics, Chemical Equilibrium, Acid–Base Equilibria, Aqueous Equilibria, chemical thermodynamics, electrochemistry, nuclea chemistry, transition metals, coordination chemistry, organic chemistry, biological chemistry, chemistry of life

Topics: chemistry, measurement, atoms, molecules, chemical formulas, chemical reactions, gaseous state, thermochemistry, quantu, theory, electron configuration, periodicity, ionic bonding, covalent bonding, molecular geometry, chemical bonding theory, states of matter, solutions, rates of reaction, chemical equilibrium, acid, bases, acid-base equilibria, solubility, complex-ion equilibria, thermodynamics, equilibrium, electrochemistry, nuclear chemistry, Main-group elements, transition elements, coordination compounds, organic chemistry, polymer materials

Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

Topics: ATOMIC STRUCTURES, MOLECULAR MASS, ACIDS, BASES, SOLUTIONS, COLLOIDS, NANO PARTICLES, TECHNOLOGY OF WATER, CATALYSIS, GLASS, ELECTROCHEMISTRY, ELECTROCHEMICAL CELL, ENERGY RESOURCES, corrosion, coating, ENVIRONMENTAL CHEMISTRY, FUELS, COMBUSTION, REFRACTORIES, EXTRACTION OF METALS, POWDER, METALLURGY ALLOYS, ABRASIVES, CEMENT, CERAMICS, LUBRICANTS, ADHESIVES, POLYMERS

Topics: Transformer, Synchronous Machine, Transmission Line, Admittance Model, Network Calculation, Impedance Model, Power-Flow Solution, Symmetrical Fault, Sequence Network, Unsymmetrical Fault, Zbus Method, Contingency Analysis, state estimation, power system stability

Topics: Integration, Laplace transform, Z-transform, power series, difference equation, Leibnitz theorem, Maclurin series, series solution, Beta function, Gamma function, total derivatives, implicit differentiation

Topics: Centralized Economy, Real-Business-Cycle Dynamics, Optimal Solution, Economic Growth, Modeling Economic Growth, Endogenous Growth, Decentralized Economy, Consumption, savings, Life-Cycle Theory, labour, firms, Government Budget Constraint, Public Finances, Financing Government Expenditures, Optimizing Public Finances, Fiscal Policy, Time-Consistent, Time-Inconsistent Fiscal Policy, Overlapping-Generations Model, Open Economy, traded goods, Current-Account Sustainability, Monetary Economy, Imperfectly Flexible Prices, Price Stickiness, Asset Pricing, Macroeconomics, Market Efficiency, Arbitrage, Asset Allocation, Financial Markets, Stock Market, bond market, FOREX Market, Nominal Exchange Rates, IS–LM Model, Monetary Policy, Keynesian Model of Inflation, Optimal Inflation Targeting, Optimal Monetary Policy, New Keynesian Model, Real Business Cycles, DGE Models, Economic Fluctuations, RBC Model, Mathematical Appendix, Continuous-Time Optimization, Dynamic Programming, Stochastic Dynamic Optimization, Time Consistency, Time Inconsistency, Linear Rational-Expectations Models

Topics: Atom, Molecule, Ion, Stoichiometry, chemical reaction, gas, thermochemistry, atomic structure, periodicity, bonding, covalent bond, orbital, liquid, solid, solution, chemical kinetics, chemical equilibrium, acid, base, acid-base equilibria, solubility, Complex Ion Equilibria, Spontaneity, Entropy, Free Energy, Electrochemistry, Nucleus, Representative Element, transition metal, coordination chemistry, organic molecule, biological molecule, Dalton’s Atomic Theory, Periodic Table, Atomic Mass, mole, molar mass, chemical equation, stochiometric calculation, Precipitation Reaction, acid-base reaction, oxidation-reduction reaction, gas law