ABSTRACT ALGEBRA 1 past question for the year 2019 examines 300-level Science and Technology students of FUTO, offering MTH301 course on their knowledge of abstract algebra, set, Cartesian, operation

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## Past Questions related to ABSTRACT ALGEBRA 1

Year: 2019

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH405

Topics: field, abelian group, decomposable group, simple group, p-subgroup, field, homomorphism

Year: 2019

School: University of Ilorin

Department: Science and Technology

Course Code: MAT306

Topics: group, coset, ring, isomorphic series, normal series

Year: 2020

School: University of Benin

Department: Science and Technology

Course Code: MTH110

Topics: Sets, binary operation, partial fractions, mathematical induction, real numbers, remainder theorem, factor theorem, polynomial, mapping, complex number, Argand diagram, trigonometric function, sequence, series, recurrency, D'Alembert ratio test, permutation, combination

Year: 2020

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: set, Venn diagram

Year: 2018

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH504

Topics: matrix, algebra, Cartesian, mapping, Boolean

Year: 2019

School: University of Uyo

Department: Science and Technology

Course Code: MTH212

Topics: Algebra, mapping, mathematical induction, division algorithm, Peano postulates, truth table, binary operation

Year: 2016

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: set theory, binary operation, surd, real numbers

Year: 2018

School: University of Nigeria, Nsukka

Department: Science and Technology

Course Code: MTH211

Topics: Sets, logic, Algebra

Year: 2016

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH101

Topics: logarithm, expansion, square root, universal set

Year: 2019

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: differential equation, linear, nonlinear, set, wronskian, Bernoulli, Laplace transform

Year: 2019

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH403

Topics: topology, set, topological space, metric space, open function, discrete topology, discrete space, subspace topology, topological space

Year: 2020

School: Air Force Institute of Technology

Department: Science and Technology

Course Code: MTH101

Topics: Algebra, sets, binomial expansion, trigonometry, quadratic equation

Year: 2019

School: University of Nigeria, Nsukka

Department: Science and Technology

Course Code: MTH321

Topics: Metric Space Topology, metric space, discrete metric space, Lipschitz function, Contraction Mapping Principle, nonempty set, set

Year: 2019

School: Federal University of Technology, Minna

Department: Science and Technology

Course Code: MAT111

Topics: partial fraction, set theory, mapping, function, Binomial theorem

### Books related to ABSTRACT ALGEBRA 1

Author: MAT211

Department: Science and Technology

Course Code: MAT211

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

Author: Gregory Lee

School: University of Ilorin

Department: Science and Technology

Course Code: MAT306, MAT327

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

Author: Mansur Babagana

School: Bayero University, Kano

Department: Science and Technology

Course Code: MTH1301

Topics: sets, roster form, set builder notation, set equality, null set, subsets, comparability. theorem, universal set, power set, disjoint sets, Venn-Euler diagrams, set operations, complement, comparable sets operation, principle of duality, finite sets, cardinality, inclusion-exclusion principle

Author: MK Garba, NF Gatta

School: University of Ilorin

Department: Science and Technology

Course Code: STA121

Topics: Set Theory, set equality, set equivalence, subset, empty set, null set, universal set, set operations

Author: Edwin Clark

Department: Science and Technology

Course Code: MAT211

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

Author: John Beachy

Department: Science and Technology

Course Code: MAT211

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

Author: EH Connell

Department: Science and Technology

Course Code: MAT211

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

Author: Joseph Breuer, Howard Fehr

School: Modibbo Adama University of Technology

Department: Administration, Social and Management science

Course Code: CC205

Topics: Set, Element, Equality of Sets, Subset, Complementary Set, Union, Intersection, Equivalent Set, Cardinal Numbers, finite set, Denumerable Sets, Non-denumerable Sets, Equivalence Theorem, infinite set, Ordinal Numbers, ordered set, Continuous Sets, point set

Author: KA Gavhane

Department: Engineering

Course Code: CHEN403

Topics: Size Reduction, Screening Operation, Filtration, Vacuum Filters, Centrifugal Filtration, Mixing, Fluids, Bernoulli Equation, Newtonian Fluids, Friction Factor Chart, Friction Losses, Centrifugal Pumps, Unit Operation, Unit Operation, Fluid flow, mechanical operations

Author: CE Chidume, Chukwudi Chidume

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH301

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

Author: Charles pinter

School: University of Ilorin

Department: Science and Technology

Course Code: MAT306, MAT327

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

Author: James Aspnes

School: Edo University

Department: Science and Technology

Course Code: MTH214

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

Author: MTS FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS105

Topics: Set theory, venn diagram, Logarithm, surd, inequalities

Author: IO Abiala

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS105

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

Author: Philip Brown

School: Edo University

Department: Science and Technology

Course Code: MTH111

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

Author: Robert Beezer

School: Edo University

Department: Science and Technology

Course Code: MTH214

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

Author: CSC FUTO

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: CSC303

Topics: Computer Architecture, central processing unit, microprocessor architecture, complex instruction set computer, reduced instruction set computer, motherboard, chipset

Author: Sampor

School: University of Ilorin

Department: Science and Technology

Course Code: MAT112

Topics: inequality, indices, logarithm, matrix, Cartesian product, mapping, bisection, composition, inverse mapping, binary operation, associativity, identity element, invertible element, distributivity, Geometry

Author: Gursharan Singh Tatla

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE401

Topics: Instruction Set, 8085, Classification of Instruction Set, Data Transfer Instructions, Arithmetic Instructions, Logical Instructions

Author: Fagbemiro

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: Set theory, Set notation, Order of Sets

### Tests related to ABSTRACT ALGEBRA 1

School: WAEC, JAMB & POST UTME

Department:

Course Code: JAMB

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