Download ABSTRACT ALGEBRA 2 - MTH405 Past Question PDF

Topics: Group, function, permutation, isomorphism, group element, subgroup, function, cyclic group, partition, equivalence relation, counting coset, homomorphism, quotient group, homomorphism theorem, ring, quotient ring, integral domain, polynomial, factoring polynomial, extension of fields, vector space, field extension, ruler, compass, Galois theory, set theory

Topics: relations, set, set operation, integer, modular arithmetic, groups, factor groups, homomorphism, direct products, finite abelian groups, automorphism, morphism, symmetric group, alternating group, sylow theorem, rings, factor rings, isomorphism, domains, Irreducible Polynomials, vector spaces, field extensions, public key cryptography, straightedge, compass constructions

Topics: Abstract Algebra, intergers, functions, groups, polynomials, commutative rings, fields, Congruences, intergers modulo, equivalence relations, permutations, subgroups, isomorphisms, cyclic groups, permutation groups, homomorphism, cosets, factor groups, Ring Homomorphism, quotient fields, Algebraic Elements, geometric constructions

Topics: atomic structure, bonding, periodic table, ionic bond, covalent bond, metallic bond, coordination bond, hydrogen, hydride, alkali metal, alkaline earth metal, chalcogen, group 2 element, group 13 element, S-block element, P-block element, group 14 element, group 15 element, group 16 element, halogen, group 17 element, halogen oxide, noble gas, transition element, scandium group, titanium group, vanadium group, chromium group, manganese group, iron group, cobalt group, nickel group, copper group, zinc group, Bohr theory, Pauli exclusion principle, atomic spectra, Hund rule, solubility, conductivity, lattice energy, stochiometric defect, schottky defect, Lewis theory, octet rule, sidgwick-powell theory, VSEPR theory, isoelectronic principle, Heisenberg uncertainty principle, radial function, angular function

Topics: Electric charges, Coulomb’s law, Conductors, insulators, Electric Field Intensity, Charge Distribution, Electric Field Lines, Electric Field Lines, Charge Density, Volume Charge Density, Surface Charge Density, Line Charge Density, Electric Field, Electric Flux, Gauss’s Law, Electric Field Calculation, Electric Potential, Electrical Potential Energy, Equipotential Surfaces, Capacitance, Dielectrics, Current Electricity, capacitor, Electric current, Electric Current Density, Resistance, Resistivity, Conductivity, Electromotive Force, Internal Resistance, Direct Current Circuits, resistance, Kirchhoff’s Current Law, Kirchhoff’s Voltage Law, energy, power, Wheatstone Bridge, Potentiometer, Slide Wire Bridge, Electrodynamics, Mass Spectrometer, hall effect, Magnetic Field, Magnetic Forces, Biot-Savart Law, Ampere’s Circuital Law, Electromagnetic Induction, Magnetic Flux, Lenz's law, Mutual Inductance, Self Inductance

Topics: Cooperatives Field Administration, Cooperative Field Work, Cooperative Assistant, Arbitration, Cooperative Audit Organisation, Dissolution, Liquidation

Topics: Motion, Probability, Gravitation, Dynamics, Momentum, Vector, force, work, Electromagnetism, Differential Calculus, Vector Fields, Vector Integral Calculus, Electrostatics, Gauss Law, Electric Field, Electrostatic Energy, Dielectrics, Electrostatic Analogs, Magnetostatics, Magnetic Field, Vector Potential, Induced Current, motor, generator, transformer, inductance, induction, maxwell equation, Principle of Least Action, AC Circuit, Cavity Resonator, Waveguide, Electrodynamics, Lorentz Transformation, Field Energy, Field Momentum, Electromagnetic Mass, Tensors, Refractive Index, Magnetism, Ferromagnetism, Magnetic Materials, Elasticity, Elastic Materials, Curved Space, Quantum Behavior, Particle Viewpoints, Probability Amplitudes, Identical Particles, Spin One, Spin One-Half, Hamiltonian Matrix, Ammonia Maser, Two-State Systems, Hyperfine Splitting, Crystal Lattice, Semiconductors, Independent Particle Approximation, Symmetry, Conservation Laws, Angular Momentum, Hydrogen Atom, Periodic Table, Operators, Schrodinger Equation, Superconductivity

Topics: Electromagnetism, Differential Calculus, Vector Fields, Vector Integral Calculus, Electrostatics, Gauss Law, Electric Field, Electrostatic Energy, Dielectrics, Electrostatic Analogs, Magnetostatics, Magnetic Field, Vector Potential, Induced Current, motor, generator, transformer, inductance, induction, maxwell equation, Principle of Least Action, AC Circuit, Cavity Resonator, Waveguide, Electrodynamics, Lorentz Transformation, Field Energy, Field Momentum, Electromagnetic Mass, Tensors, Refractive Index, Magnetism, Ferromagnetism, Magnetic Materials, Elasticity, Elastic Materials, Curved Space

Topics: self-adjoint operators, Eigen function expansion, simple model system, linear algebra, BRA-Ket notation, formal developments, harmonic oscillators, coherent state, quantum mechanics, angular momentum, stationary perturbations, perturbation theory, scattering off potentials, density of state, time-independent perturbation, perturbation, path integrals, polarizability tensor, electromagnetic coupling, Lagrangian field theory, Non-relativistic Quantum Field Theory, Maxwell field, relativistic quantum fields, spinor QED

Topics: Speed, Displacement, Velocity, vector, Uniformly Accelerated Motion, Newton law, Equilibrium, Work, Energy, Power, simple machine, impulse momentum, angular motion, Rigid-body rotation, simple harmonic motion, density, elasticity, fluid, thermal expansion, ideal gas, heat quantity, thermal energy, thermodynamics, entropy, wave motion, sound, Coulomb’s Law, Electric Field, Electric Potential, Capacitance, Current, Resistance, Ohm’s Law, Electrical Power, Kirchhoff’s Law, Magnetic field, Induced EMF, Electric generator, motor, inductance, Alternating current, Light, Lens, Optical instrument, Interference, Diffraction, special relativity, quantum physics, hydrogen atom, multielectron atom, subatomic physics, Nuclear physics

Topics: probability models, Conditional Probability, Venn diagram, Random Variables, Discrete Distributions, Continuous Distributions, Cumulative Distribution Functions, Joint Distributions, Simulating Probability Distributions, expectation, Inequalities, Jensen’s Inequality, Sampling Distributions, Limits, Central Limit Theorem, Monte Carlo Approximations, Normal Distribution Theory, Chi-Squared Distribution, Statistical Inference, statistical model, Data Collection, Finite Populations, Simple Random Sampling, Histograms, Survey Sampling, Descriptive Statistics, Plotting Data, Likelihood Inference, Maximum Likelihood Estimation, Distribution-Free Methods, Bayesian Inference, Bayesian Computations, Optimal Inferences, Optimal Unbiased Estimation, Optimal Hypothesis Testing, quantitative response, Simple Linear Regression Model, Bayesian Simple Linear Model, Multiple Linear Regression Model, Markov Chains, Gambler’s Ruin Problem, Markov Chain Monte Carlo, Martingales, Brownian Motion, Poisson Processes

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: Simple Harmonic Motion, Simple Harmonic Oscillator, Period, Simple Pendulum

Topics: Statistical Inference, summarizing data, simple random sampling, population variance, normal approximation, confidence intervals, inference, Maximum Likelihood, Hypothesis Testing, Wald test, t-test, Permutation Test, Likelihood Ratio Test, Testing Mendel’s Theory, Multiple Testing, Regression Function, Regression Model, Scatter Plots, Simple Linear Regression Model, Ordinary Least Squares, Interval Estimation, Prediction, Graphic Residual Analysis

Topics: Inorganic chemistry, atomic structure, atomic orbitals, molecular structure, bonding, Lewis structure, valence bond theory, Molecular orbital theory, ionic solids, ionic bonding, semiconduction, acid, base, Brønsted acidity, Lewis acidity, oxidation, reduction, reduction potentials, redox stability, Molecular symmetry, isomerism, coordination compounds, chirality, spectroscopy, chemical analysis, Magnetometry, periodic trends, Group 1 elements, Group 2 elements, hydrogen, Group 13 elements, Group 15 elements, Group 14 elements, Group 16 elements, d-Block elements, Representative compounds, Electronic spectra, Magnetism, Coordination chemistry, Ligand substitution reactions, Ligand substitution, Redox reactions, Photochemical reactions, Lanthanoid chemistry, Actinoid chemistry, ligands, Solid-state chemistry, materials chemistry, Metal oxides, nitrides, fluorides, Chalcogenides, intercalation compounds, Hydrides, inorganic pigments, Semiconductor chemistry, Molecular materials, fullerides, catalysis, Homogeneous catalysis, Heterogeneous catalysis, Hybrid catalysis, Characterization, fabrication, Nanomaterials, nanoscience, nanotechnology, Self-assembled nanostructures, Bioinorganic nanomaterials, Biological inorganic chemistry, Catalytic processes, Biological cycles, Chelation therapy, nitrogen cycle, hydrogen cycle, acid-base catalysis, Tethered catalysts, Electrocatalysis, Alkene polymerization, Ammonia synthesis, Hydroformylation, Alkene metathesis

Topics: hydrocarbon, alkane, alkene, alkyne, principal chain, ether, thioether, alcohol, acid, salt of acid, acid anhydride, ester, ester, acid halide, amide, nitrile, aldehyde, ketone, amine, ammonium salt, aromatic compound, aromatic hydrocarbon, carboxylic acid, phenol, thiophenol, sulfonic acid, aromatic amine, diazonium salt, alkyl halide, grignard reagent

Topics: Bright-Field Light Microscope, Bacterial Motility, Dark-Field Light Microscope, Phase-Contrast Light Microscope, Fluorescence Microscope, Bacterial Morphology, Smear Preparation, Simple Staining, negative staining, gram strain, Acid-Fast Staining, Endospore Staining, Capsule Staining, Flagella Staining, Microbiological Culture Media, Spread-Plate Technique, Streak-Plate Technique, Anaerobic Bacteria cultivation, Fermentation, Triple Sugar Iron Agar Test, carbohydrates, Starch Hydrolysis, Lipid Hydrolysis, protein, amino acid, Hydrogen Sulfide Production, Casein Hydrolysis, Gelatin Hydrolysis, Catalase Activity, Coagulase Activity, DNase Activity, Amino Acids, Urease Activity, Lysine test, Ornithine Decarboxylase Test, Phenylalanine Deamination, Nitrate Reduction, Osmotic Pressure, temperature, Hand Washing, Environmental Sampling, Microbiological Monitoring, Environmental Microbiology, Food Microbiology, Standard Coliform Most Probable Number Test, Presence-Absence Coliform Test, bacterial count, Medical Microbiology, Agglutination Reactions, Blood Groups, Staphylococci, Pneumococci, Streptococci, Neisseriae, Fungi, yeasts, Phycomycetes, Ascomycetes, Basidiomycetes, Microbial Genetics, Genomics, Bacterial Mutation, Bacterial Transformation, bacterial conjugation

Topics: Epithelium, Simple Squamous Epithelium, Simple Cuboidal Epithelium, Simple Columnar Epithelium, Pseudostratified Columnar Epithelium, Stratified Squamous Epithelium, Transitional Epithelium, Connective Tissue

Topics: Epithelia cells, epithelial tissues, squamous epithelial cells, cuboidal epithelial cells, columnar epithelial cells, stratified epithelium, simple squamous epithelium, simple cuboidal epithelium, simple columnar epithelium, pseudostratified epithelium

Topics: Correlation, simple regression, Correlation Analysis, Scatter Plot, Correlation Coefficient