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FUNCTIONS OF A COMPLEX VARIABLE AND ITS APPLICATIONS 1 past question for the year 2019 examines 300-level Science and Technology students of FUTO, offering MTH305 course on their knowledge of complex variable, logarithm, analytic function, linear transformation

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## Past Questions related to FUNCTIONS OF A COMPLEX VARIABLE AND ITS APPLICATIONS 1

Year: 2016

School: University of Ilorin

Department: Science and Technology

Course Code: MAT329

Topics: Complex-valued function, Milne-Thompson, analytic function, Cauchy-Reimann equation, continuity, differentiation, Integration

Year: 2018

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH101

Topics: logarithm, partial fraction, inequality, linear expansion, complex number, arithmetic progression, geometric progression

Year: 2020

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH101

Topics: Logarithm, indices, combination, complex numbers, binomial expansion, geometric progression, inequalities, partial fraction, remainder theorem

Year: 2018

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: CSC201

Topics: Generations of computer, assignment statements, analytic engine, syntax error, semantic error, program error, type mismatch

Year: 2018

School: University of Ilorin

Department: Science and Technology

Course Code: MAT326

Topics: Laurent expansion, Liouville theorem, Residue Theorem, Cauchy inequality, Rouche theorem, Analytic continuation, convergence, maximum modulus theorem

Year: 2016

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH101

Topics: logarithm, expansion, square root, universal set

Year: 2019

School: Federal University of Technology, Minna

Department: Science and Technology

Course Code: CPT111, WKS110, GST110, BIO111, STA117, PHY113, MAT111, CHM1111, CHM112

Topics: reserve words, program statements, pseudo code, flowchart, programming language, algorithm, plant location, plant layout, accident, electrical hazards, zero error, communication skills, communication, essay writing, technical report writing, essay, cell biology, organelles, cell membrane, microscopy, microscope, biodiversity, hereditary, inheritance, monocotyledons, dicotyledons, frequency distribution, questionnaire, force, tension, pressure, vector, scalar, linear motion, random motion, rotational motion, oscillatory motion, gravitational field strength, escape velocity, logarithm, surd, geometric progression, sets, Bohr postulate, Raoults's law, LeChatelier's principle, chemical bonding, electronic configuration, inorganic chemistry, Dalton atomic theory Avogadro's number

Year: 2009

School: University of Ilorin

Department: Science and Technology

Course Code: MAT304

Topics: function, convergence

Year: 2020

School: University of Benin

Department: Science and Technology

Course Code: MTH110

Topics: Sets, binary operation, partial fractions, mathematical induction, real numbers, remainder theorem, factor theorem, polynomial, mapping, complex number, Argand diagram, trigonometric function, sequence, series, recurrency, D'Alembert ratio test, permutation, combination

Year: 2016

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

Topics: set theory, logarithm, polynomial

Year: 2019

School: Nnamdi Azikiwe University

Department: Science and Technology

Course Code: MAT102

Topics: Set, limit, logarithm, differentiation, gradient, integration, domain, range

Year: 2017

School: University of Uyo

Department: Science and Technology

Course Code: MTT111

Topics: Venn diagram, square root, simultaneous equation, arithmetic progression, domain, range, logarithm, geometric progression, permutation, combination, partial fractions

Year: 2017

School: University of Ilorin

Department: Science and Technology

Course Code: STA124

Topics: random variable, probability distribution, binomial experiment, binomial probabilities, geometric distribution, Poisson distribution, binomial distribution

Year: 2020

School: University of Benin

Department: Science and Technology

Course Code: MTH112

Topics: Function limit, continuity, differentiation, product rule theorem

### Books related to FUNCTIONS OF A COMPLEX VARIABLE AND ITS APPLICATIONS 1

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

Author: Favour

School: University of Ilorin

Department: Science and Technology

Course Code: STA124

Topics: mean of random variable, variance of random variable, continuous random variable, probability density function, probability distribution function, mean continuous of random variable, variance continuous of random variable, discrete distribution, Bernoulli distribution, binomial distribution, Poisson distribution, geometric distribution, uniform distribution, continuous distribution, normal distribution, cumulative distribution function, Bivariate probability distribution, conditional probability distribution function

Author: Robert Beezer

School: Edo University

Department: Science and Technology

Course Code: MTH214

Topics: Linear algebra, vector, Reduced Row-Echelon Form, vector operations, linear combinations, spanning sets, linear independence, orthogonality, matrices, matrix operation, matrix multiplication, matrix inverses, vector spaces, subspaces, matrix determinants, Eigenvalues, Eigen vectors, linear transformations, Injective Linear Transformations, Surjective Linear Transformations, Invertible Linear Transformations, vector representations, matrix representations, complex number operations, sets

Author: MAT212

Department: Science and Technology

Course Code: MAT212

Topics: Linear Algebra, Algebra of Matrices, matrix, Determinants, Matrix Inverse, Systems of Linear Equations, Vector Space, linear equation, Subspaces of Vector Spaces, Rank of a Matrix, Linear Transformations, Linear Transformation, Homogeneous Systems of Linear Equations, Non-Homogeneous Systems of Linear Equations, Eigenvalue, Eigenvector, Minimal Polynomial, Matrix Polynomial, Companion Matrix, Similar Matrix, Diagonal Matrix, Triangular Matrix

Author: Carol Mattson Porth

School: PAMO University of Medical Sciences

Department: Medical, Pharmaceutical and Health science

Course Code: PUMS PATHOLOGY

Topics: Pathophysiology, cell structure, cell function, inflammation, inflammatory response, fever, cell proliferation, tissue regeneration, tissue repair, genetic control, genetic disorders, congenital disorders, neoplasia, integrative body functions, acid-base balance, electrolyte disorder, fluid disorder, stress, adaptation, hematopoietic function, red blood cells disorders, infection, immunity, infectious disease, innate immunity, adaptive immunity, immune response, circulatory function, blood flow, blood pressure, cardiac function, heart failure, circulatory shock, respiratory function, respiratory tract infections, neoplasms, childhood disorder, gas exchange, kidney function, urinary tract function, renal function, acute kidney injury, chronic kidney disease, gastrointestinal function, hepatobiliary function, exocrine pancreas function, endocrine system, endocrine control, diabetes mellitus, metabolic syndrome, nervous system, neural function, somatosensory function, pain, headache, neuromuscular function, brain function, vision, hearing, vestibular function, genitourinary function, reproductive function, male genitourinary system, female genitourinary system, sexually transmitted infections, musculoskeletal function, trauma, skeletal system, rheumatic disorders, skin integrity, skin function

Author: William Trench

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Author: William Trench

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Differential Equations, first order equations, Linear First Order Equations, separable equations, exact equations, integrating factors, numerical methods, Euler's method, Improved Euler Method, Runge-Kutta Method, Autonomous Second Order Equations, Linear Second Order Equations, Homogeneous Linear Equations, Constant Coefficient Homogeneous Equations, Non homogeneous Linear Equations, power series, Laplace transforms, inverse Laplace transform, initial value problem, unit step function, convolution, Linear Higher Order Equations, Linear Systems of Differential Equations, Constant Coefficient Homogeneous Systems

Author: Gabriel Nagy

School: University of Ilorin

Department: Science and Technology

Course Code: MAT211

Topics: Ordinary Differential Equations, linear constant coefficient equations, initial value problem, integrating factor method, linear variable coefficient equation, Bernoulli equation, separable equation, Euler Homogenous equations, exact differential equation, exponential decay, Newton's cooling law, carbon-14 dating, nonlinear equations, second order linear equations, variable coefficients, Homogenous Constant Coefficients Equations, Euler Equidimensional Equation, Nonhomogeneous Equations, power series, Laplace transform, discontinous sources, Two-Dimensional Homogeneous Systems, Two-Dimensional Phase Portraits, Autonomous Systems, Stability, Boundary Value Problems, linear algebra, matrix algebra, Eigenvalues, Eigenvectors, Diagonalizable Matrices, Matrix Exponential, exponential function

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

Author: O'kriso

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH101

Topics: mathematics, indices, logarithm, surd, positive square root, polynomials, partial fraction, quadratic equations, maximum value, minimum value, alpha functions, beta functions, simultaenous linear equation, binomial theorem, complex number, Arithemetic progression, geometric progression

Author: JA Oguntuase

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

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

Author: Erwin Kreyszig, Herbert Kreyszig, Edward

School: University of Nigeria, Nsukka

Department: Engineering

Course Code: MTH207

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Author: Herbert Kreyszig, Erwin Kreyszig

School: University of Nigeria, Nsukka

Department: Engineering

Course Code: MTH207

Topics: Ordinary Differential Equations, Separable Ordinary Differential Equations, exact Ordinary Differential Equations, linear Ordinary Differential Equations, Orthogonal Trajectories, Homogeneous Linear Ordinary Differential Equations, Differential Operators, Euler–Cauchy Equations, Higher Order Linear Ordinary Differential Equations, nonlinear Ordinary Differential Equations, Power Series, egendre’s Equation, Legendre Polynomials, Extended Power Series, Frobenius Method, Bessel’s Equation, Bessel Functions, Laplace Transforms, First Shifting Theorem, Linear Algebra, Vector Calculus, Matrices, Vectors, Determinants, Linear Systems, Determinants, Cramer’s Rule, Gauss–Jordan Elimination, linear transformation, Matrix Eigenvalue Problems, Eigenvalues, Eigenvectors, Eigenbase, Vector Differential Calculus, vector product, Vector Integral Calculus, Integral Theorems, line integrals, Surface Integrals, Stokes’s Theorem, Fourier Analysis, Partial Differential Equations, Fourier series, Sturm–Liouville Problems, Forced Oscillations, Fourier Integral, Fourier Cosine, Sine Transforms, Fourier Transform, Fast Fourier Transforms, Rectangular Membrane, Double Fourier Series, heat equation, Complex Numbers, Complex Differentiation, Cauchy–Riemann Equations, Exponential Function, Complex Integration, Cauchy’s Integral Formula, Cauchy’s Integral Theorem, Taylor series, Laurent Series, Residue Integration, Conformal Mapping, Complex Analysis, Potential Theory, Numeric Analysis, Numeric Linear Algebra, Unconstrained Optimization, Linear Programming, Combinatorial Optimization, Probability, Statistics, Data Analysis, Probability Theory, Mathematical Statistics

Author: MO Oyesanya, JC Amazigo

School: University of Nigeria, Nsukka

Department: Science and Technology

Course Code: MAT121

Topics: analytic geometry, vectors, elementary dynamics, straight line equations, circle coordinate geometry, circle tangents, orthogonal circles, coaxial circles, conic sections, parabola, ellipse, hyperbola, conic parametric equations, Cartesian coordinate representation, vector addition, vector scalar product, particle kinematics, rectilinear motion, pulleys, projectile motion, simple harmonic motion, impulsive motion

Author: MTS FUNAAB

School: Federal University of Agriculture, Abeokuta

Department: Science and Technology

Course Code: MTS101

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

Author: Allen Gersho, Robert Gray

School: National Open University of Nigeria

Department: Science and Technology

Course Code: CIT891

Topics: Vector Quantization, Signal Compression, random proocesses, linear systems, probability, sampling, periodic sampling, linear prediction, Elementary Estimation Theory, Finite-Memory Linear Prediction, Levinson-Durbin Algorithm, Minimum Delay Property, scalar coding, Scalar Quantization, Predictive Quantization, Delta Modulation, Difference Quantization, Bit Allocation, Transform Coding, Karhunen-Loeve Transform, Performance Gain of Transform Coding, entropy coding, Variable-Length Scalar Noiseless Coding, huffman coding, Vector Entropy Coding, Ziv-Lempel Coding, Constrained Vector Quantization, Predictive Vector Quantization, Finite-State Vector Quantization, Tree and Trellis Encoding, Adaptive Vector Quantization, Variable Rate Vector Quantization

Author: Wrede dan Murray, Murray Spiegel

School: University of Ilorin

Department: Science and Technology

Course Code: MAT201

Topics: number, sequence, function, limit, continuity, derivative, integral, partial derivative, vector, multiple integral, line integral, surface integral, infinite series, improper integral, Fourier series, Gamma function, Beta Function, complex variable

Author: Effiong Ibanga, ajibola

School: National Open University of Nigeria

Department: Science and Technology

Course Code: PHY303

Topics: Galilean Transformation, Einstein's Postulates, Lorentz Transformation, Invariance of Physical Equations, Ether, Michelson-Morley Experiment, Relativistic Work and Energy, Mass-Energy Equivalence, Transformation of Momentum and Energy, Time Dilation, Twin Paradox

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

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

### Tests related to FUNCTIONS OF A COMPLEX VARIABLE AND ITS APPLICATIONS 1

School: WAEC, JAMB & POST UTME

Department:

Course Code: JAMB

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