Topics: real number system, order relation, natural numbers, countable sets, uncountable sets, bounded sets, limits, Monotone Sequences, Sandwich Theorem, limit theorems, Bolzano-Weierstrass Theorem, Limit Superior, Limit Inferior, Cauchy Sequences, continuity, topological notions, One-sided Continuity, Continuity Theorems, Uniform Continuity, Uniform Continuity Theorems, closed sets, compact sets, continuous maps, differentiability, derivative, Rolle’s Theorem, Mean Value Theorem, L’Hospital’s Rule, Nonnegative Real Numbers series, Integral Test, Comparison Test, Limit Comparison Test, Cauchy’s Root Test, D’Alembert’s Ratio Test, Alternating Series, Absolute Convergence, Conditional Convergence, Riemann Integral, Integration, Uniform convergence, Power Series, Equicontinuity, Arzela-Ascoli Theorem

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

Topics: Algebra, Trigonometry, real number system, set theory, Venn diagram, sequence, series, arithmetic progression, arithmetic mean, geometric progression, partial fraction, mathematical induction, complex numbers, permutations

Topics: discrete mathematics, mathematical logic, functions, proofs, set theory, set operations, axiomatic set theory, real numbers, arithmetic, induction, recursion, summation notation, Asymptotic notation, number theory, graphs, multiplication, exponentiation, binomial coefficients, generating functions, probability theory, random variables, Markov's inequality, probability generating functions, linear algebra, abstract vector spaces, finite fields

Topics: Polynomials, rational functions, linear equations, simultaenous equation, quadratic equations, remainder theorem, factor theorem, inequalities, domain range, partial fractions, curve sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, telescoping series, limits, sums to infinity, complex numbers, Aragand diagram, De Moivre's theorem, matrices, determinants, rank of a matrix, Cramer's rule, sets, vennn diagram, binary operations, real number systems

Topics: Mechanics of point mass, moving coordinate system, special relativity, systems of point masses, collisions, dynamics of rigid bodies, rigid body, real solid, liquid bodies, static liquids, gases, kinetic gas theory, fluid dynamics, Euler equation, continuity equation, Bernoulli equation, vacuum physics, laminar flow, navier-strokes equation, aerodynamics, reynold's number, thermodynamics, heat transport, mechanical oscillations, mechanical waves, forced oscillations, superposition of waves, standing waves, nonlinear dynamics, acoustics, nonlinear chaos, vector algebra, vector analysis, coordinate systems, complex numbers

Topics: Quantitative Methods, Statistics, Collection of Data, data, Organization of Data, Representation o Data, tables, graphs, charts, histogram, curves, Measures of Central Tendency, Measures of Dispersion, Moment, Skewness, Kurtosis, Probability, Experimental Probability, Random Variable, Index Numbers, Weighted Index Number

Topics: Bernoulli Distribution, Binomial Distribution, Normal Distribution, Poisson Distribution, Probability, Statistic Distribution Functions, Statistical Hypothesis Test, T-test, F-test, Chi square test, ANOVA, Correlation Coefficient Analysis, Regression Coefficient Analysis, Pearson’s Correlation Coefficient, Spearman’s Rank Correlation Coefficient, Least Square Regression Line, Central Limit Theory, Central Limit Theorems, law of large numbers, Index Number, Statistical Data, Sample, Sampling Techniques

Topics: Soil Chemistry, analytical chemistry, geochemistry, Particle Accelerators, Synchrotrons, Stanford Linear Accelerator, Continuous Electron Beam Accelerator, Fermi National Laboratory Accelerator, Brookhaven Realistic Heavy Ion Collider, quarks, leptons, Atomic Numbers, Avogadro’s Number, atomic orbitals, Acid–Base Titrations, Precipitation, Complex Reactions, Chemical Units, Molarity, Molality, Radioactivity, isotopes, mole fractions, Soil Composition, Electrochemical Potentials, carbon dating, Electrochemical Cells, Nernst Equation, Electron Activity, chemical potential, membrane potential, Soil Gas, Oxygen Revolution, soil aeration, soil aerification, Soil Air Quality, Hydrotropism, Hypoxia, soil water chemistry, Oxygen Demand of Water, Total Soil Water Potential, Matric Potential, Pressure Potential, Osmotic Potential, Gravitational Potential, Plant–Soil–Water Energy Relation, water dissociation, Colloidal Chemistry, Colloidal System, soil humus, Carbohydrates, Amino Acids, Peptides, Proteins, Nucleic Acids, lipids, Lignins, humic matter, Electron Microscopy, Clay Minerals, Surface Potential, Electric Double Layer, Helmholtz Double-Layer Theory, Gouy–Chapman Double-Layer Theory, Adsorption Isotherms, soil adsorption, water adsorption, Cation Exchange, Cation Exchange Reactions, Cation Exchange Capacity, Langmuir–Vageler Equation, Mono-Divalent Cation Exchange Reaction, Mono-Monovalent Cation Exchange Reaction, Anion Exchange, Phosphate Retention, Phosphate fixation, Phosphate Potential, Soil Reaction, Acid–Base Chemistry, Weathering, Coordination Theory, Complex Formation, chelation, Metal–Organic Complex Reactions, Clay–Organic Compound Complexes

Topics: chemical combination laws, Dalton's atomic theory, atomic masses, molecular mass, empirical formula, molecular formula, chemical reactions, stoichiometry, atomic number, isotopes, isobars, Heisenberg uncertainty principle, quantum numbers, Pauli exclusion, Hund's rules, atom electronic configuration, ionic radii, ionization enthalpy, electron gain enthalpy, electronegativity, valence, valence electrons, chemical bonding, molecular structure, ionic bond, covalent bond, Lewis structure, valence bond theory, VSEPR theory, Boyle's law, Charles's law, Gay Lussac's law, Avogadro's law, thermodynamics, equilibrium, Redox reaction, hydrogen, Alkali earth metals, alkaline earth metals, organic chemistry, hydrocarbons, alkanes, alkenes, alkynes, aromatic hydrocarbons, Benzene, aromacity, environmental chemistry, solid state, solutions, electrochemistry, chemical kinetics, surface chemistry, coordination compounds, Haloalkanes, alcohols, phenols, ethers, Aldehydes, ketones, carboxylic acids, amines, cyanides, Diazonium, salts, biomolecules, carbohydrates, proteins, hormones, vitamins, nucleic acids, DNA, RNA, polymers