Topics: Modern Algebra, rational numbers, fields, polynomials, real numbers, complex numbers, groups, vectors, vector spaces, algebra of matrices, linear groups, determinants, canonical forms, Boolean Algebre, Lattice, Transfinite arithemetic, rings, ideal, Algrbraic Number fields, Galois theory

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: 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: Exogenous antigens, Injurious immune reactions, IMMEDIATE Hypersensitivity, TYPE 1 HYPERSENSITIVITY, Systemic anaphylaxis, Local immediate hypersensitivity, ANTIBODY-MEDIATED hypersentivity, TYPE 2 HYPERSENTIVITY, Opsonization, Membrane Attack Complex, Fc Receptor-Mediated Inflammation, Antibody-Mediated Cellular Dysfunction, IMMUNE COMPLEX-MEDIATED Hypersensitivity, TYPE 3 HYPERSENSITIVITY, Exogenous antigen, Endogenous antigen, SYSTEMIC IMMUNE COMPLEX DISEASE, Acute Serum Sickness, Acute Inflammatory Reaction, Fibrinoid Necrosis, LOCAL IMMUNE COMPLEX DISEASE, ARTHUS REACTION, Cell-mediated hypersensitivity, DELAYED TYPE HYPERSENTIVITY, GRANULOMATOUS inflammation, GRANULOMA, TYPE 4 HYPERSENSITIVITY

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: computers, computer software, files, programming principles, stages of programming, structured flowchart, pascal character set, identifiers, Numbers, Integer numbers, Real Numbers, string, Datatypes, constant, Paschal syntax diagrams, Integer-type data, Boolean type data, read statement, Readln statement, EOF functions, EOLN functions, WRITE statement, WRITELN statement, arrays, packaged arrays, procedures, functions, invoking functions, recursion, Top-Down analysis, Modular programming, structured coding, top-down analysis

Topics: One-Variable Calculus, Calculus, Exponents and Logarithms, Linear Algebra, Linear Equations, Matrix Algebra, Determinants, Euclidean Spaces, Linear Independence, Limits, Open Sets, Several Variables, Implicit Functions, Quadratic Forms, Definite Matrices, Unconstrained Optimization, Constrained Optimization, Homogeneous functions, Homothetic Functions, Concave Functions, Quasiconcave Functions, Eigenvalues, Eigenvectors, Ordinary Differential Equations, ODE, O.D.E, Subspaces, Matrix, Limits, Compact Sets, Sets, Numbers, Proofs, Trigonometric Functions, Complex Numbers, Integral Calculus, Probability

Topics: Languages, regular expression, text searching, grammars, automata, languages, Chomsky normal form, finite automata, deterministic finite automata, Myhill-Nerode theorem, homky, undecidability, Rice's theorem, Mu-recursive functions, numeric computation, incomputable functions, linear-bounded automata, computational complexity, linear speedup, Hamiltonian circuit problem, polynomial-time reduction, satisfiability problem, complexity class relations, optimization problems, approximation algorithms, approximation schemes, space complexity, deterministic parsing

Topics: Phonetic Representations, phonological theory, Segmental Phonology, Vowel Alternations, English phonology, stress placement, derivational affixes, compounds, nuclear stress, complex verbs, complex nouns, complex adjectives, vowel reduction, word-level phonology, vowel alterations, Englisj vowel system, phonetic features

Topics: English sentence Analysis, sentences, English word order, simple sentence, compound sentence, complex sentence, verbs, Simple versus complex verb phrases, Lexical versus auxiliary verbs, Finite versus non-finite verb forms, Auxiliary verbs, lexical verbs, Intransitive verbs, copula verbs, Transitive verbs, Monotransitive verbs, Ditransitive verbs, Complex-transitive verbs, Direct object forms, Word classes, nouns, adjectives, pronouns, phrases, verb phrases, adjective phrases, adverb phrases, prepositional phrases, Adverbials, Punctuation marks