Integral Books
Schaums Outline to Theory and Problems of Introduction to Mathematical Economics, Third Edition
Author: Edward Dowling
School: Modibbo Adama University of Technology
Department: Administration, Social and Management science
Course Code: CC312
Topics: Graph, equation, multivariable function, exponential function, logarithmic function, matrix algebra, matrix inversion, comparative statics, concave programming, integral calculus, indefinite integral, definite integral, first order differential equation, first order difference equation, simultaenous equation, difference equation, optimal control theory
Author: Sufian Jelili Babatunde, Boro Irene
School: National Open University of Nigeria
Department: Administration, Social and Management science
Course Code: SMS102
Topics: Business Mathematics, sets, subsets, set operations, number sets, functions, annuity, cash flow, sinking fund, mathematical programming, linear programming, calculus, definite integral, indefinite integral, Transcendental functions integral, Simultaneous Equations, Linear Functions, Linear Inequalities, Probability, matrix algebra, Venn-Euler diagrams, Frequentist Probability, Relative Probability, Bayesian Probability, Subjective Probability, Axiomatic Probability, Conditional Probability, Matrix Addition, scalar application, matrix multiplication, Trigonometric Function
Author: Anthony Croft, Robert Davison, martin Hargreaves, James flint
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, ENG308
Topics: engineering functions, trigonometric functions, coordinate systems, discrete mathematics, sequences, series, vectors, matrix algebra, complex numbers, differentiation, integration, numerical integration, taylor polynomials, taylor series, maclaurin series, Laplace transform, z transform, Fourier series, Fourier transform, vector calculus, line integrals, multiple integrals, probability, statistics
Advanced engineering mathematics
Author: Ken Stroud, Dexter Booth
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, ENG308
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
Foundations of Mathematical Analysis
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: OO Ugbebor, UN Bassey
School: University of Ibadan
Department: Science and Technology
Course Code: MAT101
Topics: exponents, logarithms, functions, polynomials, exponential functions, inequalities, inequality symbol, inequality rules, finite series, arithemetic progression, geometric progression, limit, continuity, differentiation, integration, indefinite integrals, definite integrals, approximate integration, linear programming
Probability Theory, 2nd edition
Author: Achim Klenke
School: University of Ilorin
Department: Science and Technology
Course Code: STA121, STA221, ACC401, BUS426, ECN104, ECN207, MEE442, PHY432, AEF204
Topics: measure theory, independence, integral, moments, laws of large numbers, convergence theorem, Lp-Spaces, Radon–Nikodym Theorem, Conditional Expectations, martingale, optional sampling theorem, Martingale Convergence Theorem, Backwards Martingale, exchangeability, De Finetti's theorem, convergence of measures, Characteristic Function, Central Limit Theorem, Infinitely Divisible Distribution, markov chains, Electrical Network, Ergodic Theory, Brownian motion, iterated logarithm, large deviations, Poisson point process, Itô Integral, Stochastic Differential Equations
Total differential equation 2 lecture note
Author: Oluwatade
School: University of Ilorin
Department: Science and Technology
Course Code: MAT334
Topics: exactness, intergrability, use of multipliers, general integral, special integral, geometrical interpretation
Author: ARAGA ABDULLAHI SHEIDU, SUFIAN JELILI
School: National Open University of Nigeria
Department: Administration, Social and Management science
Course Code: BUS729
Topics: Business Mathematics, SetS, Subsets, Set Operations, Set of Numbers, Functions, Annuity, Cash Flow, Sinking Fund, Mathematical Programming, Linear Programming, Definite Integral, Indefinite Integral, Transcendental functions, Integration, Trigonometric functions, Mathematical Tools, Simultaneous Equations, Linear Functions, Linear Inequalities, Matrix Algebra, Probability Theory
University calculus early transcendentals, 4th edition
Author: Joel Hass, Christopher Heil, Przemyslaw Bogacki, Maurice Weir, George Thomas
School: Federal University of Agriculture, Abeokuta
Department: Science and Technology
Course Code: MTS241
Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations
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