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Algebra and Trigonometry

Author: Alhassan Charity Jumai

School: Edo University

Department: Science and Technology

Course Code: MTH111

Topics: Algebra, Trigonometry, real number system, set theory, Venn diagram, sequence, series, arithmetic progression, arithmetic mean, geometric progression, partial fraction, mathematical induction, complex numbers, permutations

Sequence and series

Author: MTS FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS105

Topics: Sequence, series, Arithmetic Mean, Arithmetic Sequence, Arithmetic Progression, Geometric Sequence, Geometric Progression

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

Introduction to statistics Lecture note

Author: STA117

School: Federal University of Technology, Minna

Department: Science and Technology

Course Code: STA117

Topics: statistical data, data collection, data representation, table, graph, chart, mean, mode, median, measures of dispersion, grouped data, ungrouped data, regression analysis, correlation analysis, analysis of variance

Introduction to Biostatistics ,2nd Edition

Author: Robert Sokal, James Rohlf

School: Federal University of Technology, Minna

Department: Science and Technology

Course Code: BIO324

Topics: Biostatistics, Data, accuracy, derived variables, frequency distribution, descriptive statistics, arithemetic mean, median, mode, range, standard deviation, sample statistics, binomial distribution, Poisson distribution, Normal probability distribution, normal distribution, estimation, hypothesis testing, confidence limits, chi-square distribution, Variance, regression, correlation

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

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

Lectures on Heat and Thermodynamics

Author: Michael Fowler

School: University of Ibadan

Department: Science and Technology

Course Code: PHY103

Topics: heat, thermal expansion, gas law, energy conservation, heat flow, latent heat, specific heat, calorimetry, Kinetic theory of gases, Velocity space, potential energy, Brownian motion, ideal gas thermodynamics, specific heat, isotherm, adiabat, heat engine, carnot cycle, engine efficiency, entropy, molecular collision, mean free path, conduction, convection, radiation

A first course in statistics ,12th edition

Author: James McClave, Terry Sincich

School: University of Ibadan

Department: Science and Technology

Course Code: STA351

Topics: statistics, statistical thinking, probability, random variables, probability distributions, inference, population, population means, simple linear regression, probabilistic models

A Basic Course in Anthropological Linguistics

Author: Marcel Danesi

School: University of Ibadan

Department: Arts and Humanities

Course Code: LIN101

Topics: Anthropological Linguistics, language evolution, sounds, words, sentences, meanings, discourse, variation, language, reality

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