Engineering Mathematics past question for the year 2020 examines 200-level Engineering students of AFIT, offering GET209 course on their knowledge of Engineering Mathematics, scalar product, Differential Equations, Determinants, Matrices, Vector calculus, Gaussian Elimination method

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## Past Questions related to Engineering Mathematics

Year: 2022

School: University of Ilorin

Department: Engineering

Course Code: CHE264

Topics: Limits, Continuity, differentiation, linear first order differential equations, partial and total derivatives of composite functions, vector algebra, Vector calculus, Directional derivatives, Cauchy-Riemann equations, initial value problems, magnification, rotation, harmonic functions, ordinary differential equations, Wronskian, harmonic function, Laurent series, Green's theorem

Year: 2023

School: Air Force Institute of Technology

Department: Engineering

Course Code: GET301

Topics: Engineering Mathematics, Gaussian Elimination method, Eigen Values, Eigen vectors, domain range, Green's theorem, vector valued function derivative, Cauchy-Riemann equations, Cauchy Integral theorem

Year: 2021

School: Air Force Institute of Technology

Department: Engineering

Course Code: GET320

Topics: differential equations, Wronskian set, Laplace transforms, eigenvalues, eigenvectors, linear differential equations

Year: 2019

School: University of Lagos

Department: Engineering

Course Code: GEG219

Topics: Simplification of ODEs, application of ODEs, linear differential equation, integrating factor, undetermined coefficients, variation of parameters, Cauchy-Euler equations, Nonlinear differential equation

Year: 2022

School: Air Force Institute of Technology

Department: Engineering

Course Code: GET210

Topics: Engineering Mathematics, Second order differential equation, complex analysis, multiple integral

Year: 2019

School: Federal University, Oye-Ekiti

Department: Engineering

Course Code: ENG201

Topics: Engineering Mathematics, Differential equation, convergence, divergence

Year: 2019

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: Engineering mathematics, discrete value sample, Runge kurta method, Fast Fourier transform, state space representation, Lagrange multiplier

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307

Topics: Partial Differentials, Laplace Transform, Z-Transform, Beta function, Gamma Function, Fourier Series, Curve Fitting, Engineering Mathematics

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: PET505

Topics: Reservoir modelling, reservoir simulation, history matching, history matching optimization, reservoir simulation study process, history matching parameters, oil phase partial differential equation, Gaussian elimination method, finite difference approximation, Taylor series expansion, tri-diagonal matrix, incompressible flow equation

Year: 2018

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Ordinary Differential Equations, Differential equations, Laplace transform

Year: 2019

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE407

Topics: RLC circuit, State space, vector, differential equations, Eigen

Year: 2020

School: University of Benin

Department: Science and Technology

Course Code: MTH125

Topics: Differential Equations, dynamics

Year: 2016

School: University of Nigeria, Nsukka

Department: Engineering

Course Code: EGR101

Topics: Nigerian society of engineers, Council for the regulation of engineering in Nigeria, NSE, COREN, role of engineers, engineering employment, agricultural and bioresources engineering, agricultural production, civil engineering, Metallurgical & materials engineering, iron, electrical engineering, generator, motor, war of currents, electronic engineering, mechanical engineering

Year: 2017

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307

Topics: Differential equations, Laplace transforms, z-transforms, power series, gamma functions, beta functions, Fourier series, Leibniz theorem, jacobian determinant of transformation

### Books related to Engineering Mathematics

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: 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: 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

Author: Richard Bronson, Gabriel Costa

Department: Science and Technology

Course Code: MAT241

Topics: Differential Equations, Modeling, Qualitative Methods, First-Order Differential Equations, Separable First-Order Differential Equations, Exact First-Order Differential Equations, Linear First-Order Differential Equations, Linear Differential Equations, Second-Order Linear Homogeneous Differential, nth-Order Linear Homogeneous Differential Equations, Method of Undetermined Coefficients, Variation of Parameters, Initial-Value Problems, Laplace Transform, matricies, Inverse Laplace Transforms, Convolutions, Unit Step Function, power series, Series Solutions, Classical Differential Equations, Gamma Functions, Bessel Functions, Partial Differentiall Equations, Second-Order Boundary-Value Problems, Eigenfunction Expansions, Difference Equations

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

Author: Dexter Booth, Ken Stroud

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307, ENG308

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

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

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: YM Aiyesimi

School: Edo University

Department: Science and Technology

Course Code: MTH221

Topics: differential equations, separable equations, exact equation, Inexact Differential Equations, Homogeneous Differential Equations, Bernoulli’s Differential Equations, Laplace transform, partial differential equations, Elliptic Differential Equation, Parabolic Differential Equation, Hyperbolic Differential Equation

Author: Murray Spiegel

School: Federal University of Agriculture, Abeokuta

Department: Engineering

Course Code: MCE341

Topics: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

Author: John Bird

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307, EN308

Topics: Number, algebra, area, volume, trignometry, graph, complex number, vector, statistics, differential calculus, integral calculus, differential equation, irregular area, Trigonometric waveforms, Cartesian co-ordinates, polar co-ordinates, compund angles, straight line graphs, De Moivre’s theorem, mean, median, mode, standard deviation, probability, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Maclaurin’s series, implicit functions, Logarithmic differentiation, Standard integration, Integration by parts, partial fraction, Numerical integration, Mean square value, root mean square value, centroid

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: Ian sommerville

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE303, MCE506

Topics: software processes, agile software development, requirements engineering, system modelling, architectural design, design and implementation, software testing, software evolution, system dependability, system security, dependable systems, reliability engineering, safety engineering, security engineering, resilience engineering, advanced software engineering, software reuse, component-based software engineering, distributed software engineering, service-oriented software engineering, systems engineering, systems of systems, real-time software engineering, software management, project management, project planning, quality management, configuration management

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: CI Okeke, Martha Oruku, Oba Adenuga

School: National Open University of Nigeria

Department: Administration, Social and Management science

Course Code: MKT827

Topics: Product Planning, Product Development, Organizational Products, Product Line, Product Mix, Product Life Cycle, New Product Development, New Product Idea Generation, New Product Idea Screening, New Product, Product Development, New Product Positioning, Packaging, Marketing Strategy, Product Management, Labeling, Pre-Test Market Models, Product Rollout Commercialization, Why New Products Fail, branding

Author: Steven Chapra

School: Edo University

Department: Engineering

Course Code: GEE216

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Author: Nasiru Danlami

School: Bayero University, Kano

Department: Engineering

Course Code: CIV3301

Topics: Civil Engineering Procedure, civil engineering, Structural Engineering, Environmental Engineering, Water Resources Engineering, Hydraulic Engineering, Geotechnical Engineering, Construction Engineering, Civil Engineering Design, Applied Civil Engineering Design, Civil Engineering Design Documents, construction process management, site analysis, Site reconnaissance, surveys, measured survey, condition survey, Photographic survey, video surveys, Site Investigation, Foundation design, subsoil examination, trial pits, borehole, Window samplers, Rotary Drilling Equipment, Percussion boring, construction principles, construction equipment, earthing moving equipment, bulldozer, Frontend Loader, Motor Graders, scrapers, truck, Excavating Equipment, construction elements, Foundation construction, foundation types, Strip foundations, Wide strip foundation, Short-bored pile foundations, Pad foundations, Raft foundations

Author: Onwuachu chineyere

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: Ordinary differential equations, ODE, Separable differential equations, Exact differential equation, Linear equation, Bernoulli equation, Laplace transform, Second order differential equation

### Tests related to Engineering Mathematics

School: WAEC, JAMB & POST UTME

Department:

Course Code: JAMB

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