Integral Books
Schaum's Outline of Calculus, 6th edition
Author: Frank Ayres, Elliott Mendelson
School: Nnamdi Azikiwe University
Department: Science and Technology
Course Code: MAT231
Topics: Calculus, linear coordinate systems, absolute value, inequalities, rectangular coordinate systems, lines, circles, parabolas, ellipses, hyperbolas, conic sections, functions, limits, continuity, continuous function, derivative, delta notation, chain rule, inverse functions, implicit differentiation, tangent lines, normal lines, critical numbers, relative maximum relative minimum, cure sketching, concavity, symmetry, points of inflection, vertical asymptotes, trigonometry, trigonometric functions, inverse trigonometric functions, rectilinear motion, circular motion, differentials, Newton's method, antiderivatives, definite integral, sigma notation, natural logarithm, exponential functions, logarithmic functions, L'hopital's rule, exponential growth, decay, half-life, integration by parts, trigonometric integrands, trigonometric substitutions, improper integrals, parametric equations, curvature, plane vectors, curvilinear motion, polar coordinates, infinite sequences, infinite series, geometric series, power series, uniform convergence, Taylor's series, Maclaurin series, partial derivatives, total differential, differentiability, chain rules, space vectors, directional derivatives, vector differentiation, vector integration, double integrals, iterated integrals, centroids, triple integrals, Separable Differential Equations, Homogeneous Functions, Integrating Factors, Second-Order Equations
Calculus and Analytic Geometry,9th Edition
Author: George Thomas, Ross Finney
School: Federal University of Agriculture, Abeokuta
Department: Science and Technology
Course Code: MTS101
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
Higher Engineering Mathematics ,Eighth edition
Author: John Bird
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, EN308
Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform
Author: Ogunfolu Bamidele
School: University of Ibadan
Department: Science and Technology
Course Code: MAT101
Topics: integration, indefinite integrals arithmetic, standard integrals, definite integral, integration by substitution, finding volumes by integration
Numerical methods for engineers ,8th edition
Author: Steven Chapra, Raymond Canale
School: University of Uyo
Department: Engineering
Course Code: GRE411
Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method
Advanced Engineering Mathematics
Author: Alan Jeffrey
School: Federal University of Technology, Owerri
Department: Engineering
Course Code: ENG307, ENG308
Topics: Real Numbers, Mathematical Induction, Mathematical Conventions, Complex Numbers, Taylor Theorem, Maclaurin Theorem, Vectors, Vector Spaces, Matrices, linear equation, Echelon, Eigen, Differential equations, fourier series, Laplace transform, vector calculus, complex analysis, bernoulli, riccati, cauchy-euler, Gamma function, frobenieus method, bessel function, Fourier integrals, Fourier transform, Vector Differential Calculus, Vector Integral Calculus, analytic functions, complex intergration, laurent series
Instructor’s Manual for Fundamental Methods of Mathematical Economics
Author: Alpha Chiang, Kevin Wainwright
School: Modibbo Adama University of Technology
Department: Administration, Social and Management science
Course Code: CC205
Topics: Mathematical economics, economic models, equilibrium analysis, market equilibrium, linear models, matrix algebra, matrices, vectors, matrix operations, cramers's rule, comparative-static analysis, limit theorem, partial differentiation, exponential function, logarithmic functions, optimization, maclaurin series, taylor series, homogenous function, duality, envelope theorem, Nonlinear programming, Kuhn-Tucker conditions, constraint qualification, economic dynamics, integral calculus, definite integrals, domar growth model, solow growth model, first-order differential equation, exact differential equation, first-order difference equation, cobweb model, optimal control theory, dynamic input-output models, simultaenous differential equation
Fundamental Methods of Mathematical Economics ,4th Edition
Author: Alpha Chiang, Kevin Wainwright
School: Modibbo Adama University of Technology
Department: Administration, Social and Management science
Course Code: CC205, CC312
Topics: Mathematical economics, economic models, equilibrium analysis, market equilibrium, linear models, matrix algebra, matrices, vectors, matrix operations, cramers's rule, comparative-static analysis, limit theorem, partial differentiation, exponential function, logarithmic functions, optimization, maclaurin series, taylor series, homogenous function, duality, envelope theorem, Nonlinear programming, Kuhn-Tucker conditions, constraint qualification, economic dynamics, integral calculus, definite integrals, domar growth model, solow growth model, first-order differential equation, exact differential equation, first-order difference equation, cobweb model, optimal control theory, dynamic input-output models, simultaenous differential equation
Introductory Mathematics for Economics
Author: Musibau Adetunji Babatunde, Babajide Fowowe
School: University of Ibadan
Department: Administration, Social and Management science
Course Code: ECO104
Topics: Economics, Mathematical Models, Mathematical Economics, econometrics, Nonmathematical Economics, Algebraic Methods, Constant Function, sets, polynomial functions, rational functions, Transcendental Functions, matrix algebra, matrices, Linear-Equation System, Matrix Inversion, Cramer’s Rule, Differential Calculus, Rules of Differentiation, Integral Calculus, Indefinite Integrals, Rules of Integration
Author: Joseph Bak, Donald Newman
School: University of Ilorin
Department: Science and Technology
Course Code: MAT210, MAT326, MAT329, MAT434
Topics: complex numbers, complex variable, analytic functions, line integrals, entire functions, analytic functions, simply connected domains, residue theorem, Contour Integral Techniques, conformal mapping, Riemann mapping theorem, maximum-modulus theorem, harmonic functions, analytic continuation, gamma functions, zeta functions
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