Download Algebra with marking guide - MTS101 Past Question PDF

Topics: Set theory, real numbers, comples numbers, rational function, partial fractions, binomial expansion, sequence, series, matrix, trignonometry, differentiation, integration

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: Set theory, Set notation, Order of Sets

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

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

Topics: Calculus, Analytic Geometry, real numbers, real line, coordinates, functions, shifting graphs, trignometric functions, rates of change, limits, continuity, tangent lines, derivative of a function, differentiation rules, rates of change, chain rule, derivatives, implicit differentiation, rational exponents, extreme values of functions, mean value theorem, first derivative test, optimization, linearization, differentials, Newton's method, integration, indefinite integrals, differential equations, initial value problems, mathematical modelling, Riemann sums, definite integrals, mean value theorem, fundamental theorem, numerical integration, cylindrical shells, application of integrals, work, fluid pressure, inverse functions, natural logarithms, transcendental functions, L'Hopital's rule, inverse trignometric functions, hyperbolic functions, first order differential equations, Euler's numerical method, Integration formulas, integration by parts, integral tables, infinite series, power series, Maclaurin series, Taylor series, conic sections

Topics: Complex numbers, Factorization of a complex numbers, Additive Inverse of a Complex Number, Conjugate of a complex number, Argand Plane, De Moivres Theorem

Topics: indices, Logarithms, Indicial Equations, Logarithmic Equations, surd, radicals

Topics: Complex analysis, Complex Numbers, Argand Diagram, Roots of Complex Numbers, Roots of Unity

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

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

Topics: Digital Logic Design, Kirchhoff's law, Thevenin's theorem, Norton's theorem, circuit theory, semiconductors, transistors, digital logic, integrated circuits, digital logic gates, logic gates, combinational logic design, logic circuit diagram, truth table, Boolean expression, Boolean Algebra, Karnaugh Maps, Quine-McCluckskey, standard combinational logic circuits, ombinational logic circuits, combinational logic, binary adder, binary subtractor, digital comparator, multiplexer, digital encoder, binary decoder, sequential logic circuit, Flip-Flop, S-R Flip-Flop, JK Flip-Flop, T Flip-Flop, D-type Flip-Flop, registers, counters, computer codes, binary codes, binary-coded decimal, excess-3 code, gray code, error detection, error correction, digital error, parity bit, Hamming codes, Cyclic redundancy check

Topics: first-order login, logical seeing, number, number structures, points, lines, structure of real numbers, set theory, relations, structures, geometry, definable elements, definable constants, minimal structure, order-minimal structures, definable sets, complex numbers, first-order properties, symmetries, logical visibility

Topics: Data Structures, Algorithm Analysis, Logarithms, Summations, Summations, Recurrences, recursion, Algorithm Analysis, Asymptotic Analysis, Fundamental Data Structures, Binary Trees, Binary Tree Traversals, Binary Tree Node Implementations, Binary Search Trees, Huffman Coding Trees, Non-Binary Trees, sorting, searching, internal sorting, shellsort, heapsort, File Processing, External Sorting, searching, hashing, indexing, Advanced Data Structures, graphs, Advanced Tree Structures

Topics: Set theory, binary relation, function, inverse relation, surjection, number theory, logarithm, surd, sequence, series, inequality, quadratic equation, quadratic inequality, trignometry, permutation, combination, superfactorial, polynomials, binomial expansion, complex number

Topics: real analysis, sets, functions, mathematical induction, finite sets, infinite sets, real numbers, absolute value, real line, intervals, sequences, series, limit theorems, monotone sequences, Cauchy criterion, limits, limit theorems, continuous functions, uniform continuity, inverse function, monotone functions, derivative, mean value theorem, L' Hospital rule, Taylor's theorem, Riemann integral, Riemann integral functions, fundamental theorem, Darboux integral, approximate integrations, pointwise convergence, uniform convergence, exponential functions, logarithmic function, trigonometric functions, infinite series, absolute convergence, infinite integrals, convergence theorems, continuous functions, metric spaces

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: digital design, binary numbers, digital system, number-base conversions, octal numbers, hexadecimal numbers, signed binary numbers, binary codes, binary storage, binary logic, Boolean Algebra, logic gates, Boolean functions, logic operations, digital logic gates, integrated circuits, gate level minimization, truth table, combinational logic, decoders, encoders, multiplexers, behavioral modeling, logic simulation, Synchronous Sequential Logic, sequential circuits, flip flops, registers, counters, shift registers, ripple counters, Synchronous Counters, memory, programmable logic, random access memory, memory decoding, error detection, error correction, read only memory, programmable array logic, Sequential Programmable Devices, Algorithmic State Machines, sequential binary multiplier, control logic

Topics: algorithm design, algorithm analysis, Algorithm Efficiency, Algorithm Efficiency analysis, Brute Force, Exhaustive Search, Decrease-and-Conquer, Divide-and-Conquer, Transform-and-Conquer, Space and Time Trade-Offs, Dynamic Programming, Greedy Technique, Iterative Improvement, Algorithm Power, Algorithmic Problem Solving, Nonrecursive Algorithms mathematical analysis, recursive Algorithms mathematical analysis, Selection Sort, Bubble Sort, Sequential Search, Brute-Force String Matching, Closest-Pair Problems, Convex-Hull Problems, depth-First Search, Breadth-First Search, Insertion Sort, Topological Sorting, Variable-Size-Decrease Algorithms, Decrease-by-a-Constant-Factor Algorithms, binary search, Mergesort, quicksort, Binary Tree Traversals, Strassen’s Matrix Multiplication, Gaussian Elimination, presorting, Balanced Search Trees, Heaps, Heapsort, Horner’s Rule, Binary Exponentiation, Problem Reduction, B-Trees, hashing, Knapsack Problem, Optimal Binary Search Trees, Warshall’s Algorithm, Floyd’s Algorithm, Prim’s Algorithm, Kruskal’s Algorithm, Dijkstra’s Algorithm, Huffman Trees, huffman Codes, Simplex Method, Maximum-Flow Problem, Stable Marriage Problem, Lower-Bound Arguments, Decision Trees, Numerical Algorithms, Backtracking, Approximation Algorithms

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