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Partial Derivative Books

Dimensional analysis

Author: Eugene

School: University of Benin

Department: Science and Technology

Course Code: PHY111

Topics: dimension analysis, dimensional quantities, dimensional derivatives

Mathematical Methods 1 (Real Valued Function)

Author: Siloko Israel Uzuazor

School: Edo University

Department: Science and Technology

Course Code: MTH211

Topics: Mathematical Methods, Real Valued Function, differentiation, Implicit Differentiation, Parametric Equation, Higher Derivatives

Introduction to Real Analysis, 4th Edition

Author: Robert Bartle, Donald Sherbert

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT251

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

Elements of International Economics

Author: Giancarlo Gandolfo

School: Edo University

Department: Administration, Social and Management science

Course Code: ECO316

Topics: International Economics, foreign exchange market, exchange rate, spot exchange rate, currency derivatives, eurodollars, xeno-currencies, international monetary system, international organizations, International Interest-Rate Parity Conditions, balance of payments, international finance, open-economy macroeconomics, Mundell-Fleming model, fixed exchange rate, capital movements, speculation, currency crises, long term capital movements, short-term capital movements, flexible exchange rates, Exchange-Rate Determination, Purchasing-Power-Parity Theory, International Monetary Integration, European Monetary Union, Single-Currency Problem, International Debt Crisis, McKinnon's Global Monetary Objective, Tobin tax, John Williamson's Target Zones, International Trade Theory, International Trade Policy, Comparative Costs, International Trade, Heckscher-Ohlin Model, International Factor Mobility, Tariffs, Non-Tariff Barriers, Free Trade, Preferential Trade Cooperation Optimum Tariff, infant industry, Protectionism, growth, trade, globalization

Foundations of Mathematics Algebra, Geometry, Trigonometry and Calculus

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

International Trade and International Finance

Author: Malabika Roy, Saikat Sinha Roy

School: Edo University

Department: Administration, Social and Management science

Course Code: ECO316

Topics: International Trade, International Finance, trade policy, income inequality, foreign investment flows, foreign direct investment, capital formation, foreign exchange markets, financial derivatives

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

Advanced Engineering Maths

Author: HK DASS

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307, MTH203, EEE407

Topics: Partial differentiation, multiple integral, differential equations, Determinants and Matrices, Vectors, special functions, Laplace Transform, Fourier Series

The Laplce Transform Theory and applications

Author: Joel schiff

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307

Topics: Complex Variable Theory, Complex Inversion Formula, Partial Differential Equations

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

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