Download 120 Algebra and Number Theory E-Test solution by InfoMas - MAT111 Past Question PDF

Topics: Algebra, Polynomials, Polynomial Equations, Inequalities, Rational Functions, Curve Sketching, mathematical induction, permutations, combinations, binomial theorem, sequence, series, complex numbers, matrix, linear equations, determinants, Cramer's rule, sets

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: Abstract Algebra, Binary Operations, groups, Symmetric Groups, subgroups, Isomorphism, Cosets, Lagrange's Theorem, Ring Theory, Quaternions, Circle Group, logic, Elementary Number Theory, partitions, Equivalence Relations, functions, Elementary Number Theory, Partitions, Equivalence Relations

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: set, Venn diagram, relation, operation, natural numbers, integer, natural number, real number, complex number, group, ring, integral domain, division ring, field, polynomial, vector space, matrix, matrix polynomial

Topics: Abstract Algebra, Binary Operations, sets, logic, Switching Algebras, Orders, Lattice, Boolean Algebra, Mapping, Groups, Homomorphism, Rings, Fields, Mathematical Induction, Divisibility, Euclid’s Algorithm, Congruence, Polynomials, Remainder Theorem, factor theorem, Rational Functions

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: abstract Algebra, linear Algebra, Sets, Cartesian products, Hausdorff maximality principle, groups, Homomorphisms, permutations, rings, domains, fields, Polynomial rings, Chinese remainder theorem, Boolean rings, matrices, matrix rings, Systems of equations, Determinants, Summands, transpose principle, Nilpotent homomorphisms, Jordan canonical form, Eigenvalues, Euclidean domains, jordan blocks, Jordan canonical form

Topics: algebra, numbers, fractions, inequalities, cartesian plane, vector algebra, linear equations, trigonometry, trigonometric rations, trigonometric graphs, Pythagorean Identities, functions, Exponential Functions, Absolute Value Function, rational functions, root functions, Piecewise Defined Functions, limits, continuity, Horizontal Asymptotes, differential calculus, Derivative Functions, Tangent Line Problems, chain rule, Euclidean Geometry, Spherical Trigonometry

Topics: Linear Algebra, Matrix algebra, matrix multiplication, Equivalent Systems, Elementary Operations, Gaussian Elimination, Echelon Matrices, Row Canonical Form, Row Equivalence, Matrix Formulation, Elementary Matrices, LU Decomposition, vector spaces, Linear Combinations, spanning sets, Full Rank Factorization, Least Square Solution, linear mappings, Cauchy–Schwarz Inequality, Gram–Schmidt Orthogonalization, determinants, diagonalization, Eigenvalues, Eigenvectors, Cayley–Hamilton Theorem, canonical forms, linear functionals, dual space, bilinear form, quadratic forms, Hermitian Form, linear operators

Topics: Real Numbers, Real Line, absolute value, indices, surds, Rationalization, logarithm, matices, matrix algebra, e Moivre’s theorem, complex numbers, Conjugate complex number, Argand Diagram, Roots of Complex Numbers, Roots of Unity, set theory, Binary Operations

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: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

Topics: algebraic structures, matrix, echelon form, Gaussian elimination, linear system, vector space, linear map, linear form, bilinear form, Euclidean vector space, unitary vector space, eigenvalue, endomorphism, polynomials, theory of algebra, cyclic subspace, duality, Jordan canonical form, matrix function, singular value decomposition, Kronecker product, linear matrix

Topics: Set theory, Venn-euler diagram, Set Operations, Algebra of Sets, venn diagram, surds, rationalization of surds, indices, logarithm, set theory

Topics: linear equation, quadratic equation, cubic equation

Topics: elements, compounds, atomic theory, chemical reaction, atom constituents, chemical symbols, chemical formulae, chemical reactions, chemical equations, electronic configuration, atomic number, mass numbers, nuclear atom, electronic, energy levels, Ion formations, nuclear reactions, radioactivity, nuclear radiations, nuclear fusion, nuclear fission, radioactivity hazards, chemical bonding, electrovalent bonding, Ionic bonding, electrovalent compounds, covalent bonding, covalent compounds, coordinate covalent bonding, dative covalent bonding, metallic bonding, intermolecular bonding, Van der Waal's forces, dipole-dipole attractions, hydrogen bonding, periodic table, periodic law, transition elements, atomic orbital model, principal quantum number, subsidiary quantum number, azimuthal quantum number, magnetic quantum number, spin quantum number, atomic orbital shape, atomic size, ionic radius, ionization energy, electron affinity, electronegativity, mole concept, melting, vaporization, boiling point, evaporation sublimation, heating graphs, cooling graphs, Boyle's law, Charles's law, Avogadro's law, boiling, solid classification, solid properties, molecular solid, metallic solid, Ionic solid, covalent solid, energy changes, heat content, heat of reaction, exothermic reactions, energy level diagrams, standard state, thermochemical equations, entropy, entropy change, free energy, chemical kinetic, rate of a chemical reaction, temperature, gas pressure, catalyst, activation, reaction rate, collision theory, Le Chatelier's principle, Haber process, contact process, salt hydrolysis, buffer solutions, common Ion effect, solubility product, Acid bases, salt, electrolysis, redox reactions, electrolytic conduction, oxidation, reduction, copper purification, electroplating, quantitative hydrolysis, metal corrosion, iron rusting, carbon, carbon allotropes, Diamond graphite, amorphous carbon, combustion reactions, industrial gas chemistry, metals, alloys, chemical industry, heavy chemicals, fine chemicals, fertilizers, plastics, soaps, detergents, pharmaceuticals, Nigerian chemical industry, aromatic compounds, Alicyclic compound, heterocyclic compound, homologous series, functional groups, isomerism, structural isomerism, geometric isomerism, IUPAC Nomenclature of organic compounds, purification methods, distillation, crystallization, chromatography, empirical formula, molecular formular, alkanes, natural gas, petroleum crude oil, benzene, fractional distillation petrol quality, cracking, isomerization, petrochemicals, alkanols, alkanoic acid, alkenoate, fat, oils, amino acid, polymer chemistry, polymerization processes, condensation polymerization, resins, natural polymers, carbohydrates, proteins, synthetic polymers, water pollution

Topics: electronic configuration, atomic orbitals, orbital diagram, Aufbau principle, Hund's rule, shielding effect, effective nuclear charge, diamagnetism, paramagnetism, Bohr's theory, Bohr model, correspondence principle, De broglie wavelength, De broglie equations, uncertainty principle, hydrogen atom, Schrodinger equation, classical praticles, quantum particles, Quantum numbers, Azimuthal Quantum Number, principal Quantum Number, Spin Projection Quantum Number, Pauli Exclusion Principle, Exclusion Principle, Physical Phenomena, covalent bonds, covalent compounds, Ionic Compounds, Hybridization, Pi bond formation, Pi bond, ethylene bonding

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: 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: Mathematics, JAMB, Logarithm, standard form, permutation, combination, number system, set, ratio, indices, factorization, inequality