# Download ENGINEERING MATHEMATICS - ENG308 Past Question PDF

You will find ENGINEERING MATHEMATICS past question PDF which can be downloaded for FREE on this page. ENGINEERING MATHEMATICS is useful when preparing for ENG308 course exams.

ENGINEERING MATHEMATICS past question for the year 2018 examines 300-level Engineering students of FUTO, offering ENG308 course on their knowledge of linear programming, state space representation, Fourier transform

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## Past Questions related to ENGINEERING MATHEMATICS

Year: 2017

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: eigenvalues, eigenvectors, cramer's rules, linear programming, dynamic programming, numerical method, integral, Fourier, Dirichlet, Lagrange, state space analysis

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: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: numerical methods, linear programming, dynamic programming, numerical integration, Fourier transform

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: state space analysis

Year: 2014

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE306

Topics: Exact equation, Laplace transform, fourier series, fourier transform, Z-transform, transfer function, difference equation

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: Numerical methods, monte carlo simulation, dynamic programming, Euler formula

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: CHE501

Topics: Chemical process control, chemical dynamics, system stability, open loop transfer function, Bode plot, root locus plot, controller tuning, Ziegler-Nichols settings, Tyreus-Luyben settings, state space analysis, state equation, state-transition matric, state vector

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE302

Topics: signals, fast fourier transform, open-loop control, closed-loop control, steady state respnse, transient response, z-transform, pulse transfer function

Year: 2021

School: Air Force Institute of Technology

Department: Engineering

Course Code: EEE316

Topics: signal, Euler identity, decaying sinusoids, unit impulse functions, unit step functions, unit ramp functions, linear system, non-linear system, odd signals, discrete-time signals, periodic signals, system, linear time-invariant system, power signal, casual system, memoryless system, feedback system, Fourier series, RC circuits, Fourier transforms, Laplace transforms, Z-transforms

Year: 2018

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE310

Topics: fourier series, fourier transform, parseval theorem, circuit analysis, kirchoff law

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE501

Topics: Control system design technology, PID control equation, feedback control, PID algorithm, digital control design, sampling, discrete time response, zero-order hold model, Z transform, describing function, nonlinear difference equation, linear oscillation, absolute stability, linear systems, non-linear systems, nonlinear system analysis

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: EEE409

Topics: Electrical engineering analysis, filters, superposition theorem, linear elements, linear circuits, nodal analysis, half-wave dipole antenna, engineering analysis tools, communication network, radio broadcasting, television broadcasting, telephone service, cellular telephone, electronic mail, video on demand, streamed audiovisual service, uniform resource locator, routing, information representation, addressing, multiplexing, hierarchical telephone network structure

Year: 2019

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MME308

Topics: Fuels technology, furnace technology, Fourier heat conduction equation, steady-state heat conduction, transient-state heat conduction, coking coal, Coke, heat producer

### Books related to ENGINEERING MATHEMATICS

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: Paul Heckbert, mbaocha

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: Fourier series, Fourier transform

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: 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: David Luenberger, Yinyu Ye

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: Linear programming, simplex method, linear programs, Duality, Complementarity, interior-point methods, conic linear programming, unconstrained problems, concave functions, convex functions, speed of convergence, quasi-newton methods, constrained minimization, penalty method, barrier method, duality method, dual method, primal-dual method

Author: yerin yoo

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307

Topics: Frequency space, Complex numbers, Euler's formula, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, Fourier Descriptor, Fourier Descriptor

Author: Luis Chaparro

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE302

Topics: continuous-time signals, representation of signals, continuous-time systems, linearity, causality, stability, Laplace transform, Fourier series, Fourier transform, transfer function, response of systems, MATLAB, Z-transform, Discrete-time Fourier Transform, Discrete Fourier Transform

Author: William Pratt

School: National Open University of Nigeria

Department: Science and Technology

Course Code: CIT891

Topics: digital image processing, Continuous Image Mathematical Characterization, Continuous Image Characterization, light perception, eye physiology, visual phenomena, monochrome vision model, Photometry, Colorimetry, color matching, color spaces, image sampling, image reconstruction, Monochrome Image Sampling Systems, Monochrome Image Reconstruction Systems, Color Image Sampling Systems, image measurement, Discrete Image Mathematical Characterization, Vector-Space Image Representation, Generalized Two-Dimensional Linear Operator, Image Statistical Characterization, Image Probability Density Models, Linear Operator Statistical Representation, Finite-Area Superposition, Finite-Area Convolution, Sampled Image Superposition, Sampled Image Convolution, Circulant Superposition, circulant Convolution, General Unitary Transforms, Fourier transform, cosine transform, sine transform, Hartley transform, Hadamard Transforms, Haar Transforms, Daubechies Transforms, Karhunen–Loeve Transform, wavelet transforms, Linear Processing Techniques, Transform Domain Processing, Transform Domain Superposition, Fast Fourier Transform Convolution, Fourier Transform Filtering, image improvement, Image Enhancement, Contrast Manipulation, Histogram Modification, noise cleaning, Edge Crispening, Color Image Enhancement, Multispectral Image Enhancement, image restoration, image restoration models, Continuous Image Spatial Filtering Restoration, Pseudoinverse Spatial Image Restoration, Statistical Estimation Spatial Image Restoration, Multi-Plane Image Restoration, Geometrical Image Modification, Morphological Image Processing, binary image, Edge Detection, Image Feature Extraction, Image Segmentation, shape analysis, Image Detection, image Registration, Point Processing Image Compression, image compression, video compression, Spatial Processing Image Compression

Author: Alan Oppenheim, Alan Willsky

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE302

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Author: Alan Oppenheim, Alan Willsky

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE302

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

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: Robert Vanderbei

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: simplex method, degeneracy, duality theory, primal simplex method, Lagrangian duality, sensitivity analysis, parametric analysis, implementation issues, convex analysis, game theory, regression, structural optimization, interior-point methods, central path, Lagrange multipliers, path-following method, KKT system, affine-scaling, method, integer programming, quadratic programming, convex programming, Markowitz model

Author: Frederick Hillier, Gerald Lieberman

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: linear programming, simplex method, duality theory, Linear Programming under Uncertainty, Algorithms for Linear Programming, Transportation and Assignment Problems, Network Optimization Models, Dynamic Programming, Integer Programming, Nonlinear Programming, Metaheuristics, Game Theory, Decision Analysis, Queueing Theory, Inventory Theory, Markov Decision Processes, Simulation

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: Anthony Croft, Robert Davison, martin Hargreaves, James flint

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307, ENG308

Topics: engineering functions, trigonometric functions, coordinate systems, discrete mathematics, sequences, series, vectors, matrix algebra, complex numbers, differentiation, integration, numerical integration, taylor polynomials, taylor series, maclaurin series, Laplace transform, z transform, Fourier series, Fourier transform, vector calculus, line integrals, multiple integrals, probability, statistics

Author: Anand Kumar

School: University of Uyo

Department: Engineering

Course Code: ELE322

Topics: Signals, unit step function, unit ramp function, unit parabolic function, unit impulse function, sinusoidal signal, time shifting, signal analysis, Fourier series, wave symmetry, Fourier spectrum, Gibbs phenomenon, Continuous-time Fourier series, Fourier transform, signal transmission, convolution, time convolution, theorem, signal comparison, energy density spectrum, power density spectrum, density function, sampling, sampling theorem, Anti-Aliasing filter, data reconstruction, Laplace transforms, waveform synthesis, Z-transform, system realization, discrete-time Fourier transform

Author: ENG308

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: Finite Difference Method, Second Order Differential Equations, Finite Difference Approximation, Partial Differential Equations

Author: ENG

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: approximation of functions, dynamic programming, state space analysis, interpolation, linear programming

Author: CHE

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG308

Topics: state space analysis