Engineering Mathematics 2 past question for the year 2022 examines 100-level Engineering students of AFIT, offering GET210 course on their knowledge of Engineering Mathematics, Second order differential equation, complex analysis, multiple integral

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Past Questions related to Engineering Mathematics 2

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: 2020

School: Air Force Institute of Technology

Department: Engineering

Course Code: GET209

Topics: Engineering Mathematics, scalar product, Differential Equations, Determinants, Matrices, Vector calculus, Gaussian Elimination method

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: 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: 2019

School: Federal University, Oye-Ekiti

Department: Engineering

Course Code: ENG201

Topics: Engineering Mathematics, Differential equation, convergence, divergence

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: ENG307

Topics: integral functions, stationary points, partial differentiation, Laplace transform, 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: 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: 2019

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MME514

Topics: Instrumentation, measurement, automation, zero-order system, first-order system, second-order system, static sensitivity, U-tube manometer operation, experimental data analysis, mean deviation, standard deviation, pie chart, instrument sensitivity, instrument precision

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: 2019

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE501

Topics: transfer function, Z transform, Zero order hold mode, forward path function, path function, feedback control system, phase-plane trajectory, differential equation

Year: 2020

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: MCE401

Topics: Control engineering, open loop control system, closed loop control system, close loop transfer function, feedback control system, transfer function, open-loop transfer function, root locus, stability, analog computer, digital computer, analog computing, digital computing, analog signals, ODE linear, linear first-order differential equation, DC bias voltage, DC bias circuit, Emitter-stabilized bias circuit

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: 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

Books related to Engineering Mathematics 2

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: 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: 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: 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: 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: 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: 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: Nayef Ghasem, Redhouane Henda

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: CHE202

Topics: Chemical Engineering Processes, Material Balance, Energy Balance, temperature measurement, temperature conversion, dimensional homogeneity, dimensionless quantities, process flow sheet, process unit, process streams, mass flow rates, volumetric rates, moles, molecular weight, stream composition, mass fraction, mole fraction, concentration, pressure measurement, pressure-sensing devices, process units, degrees of freedom analysis, process flow diagram, multiunit process flow diagram, mass balance, Stoichiometric Equation, Stoichiometric Coefficients, Stoichiometric Ratio, Limiting Reactant, Excess Reactants, Combustion Reactions, Chemical Equilibrium, Multiple-Unit Process Flowcharts, Single-Phase Systems, Multiphase Systems, Ideal Gas Equation of State, liquid density, solid density, gas density, Real Gas Relationships, Compressibility Factor, Virial Equation of State, van der Waals Equation of State, Soave–Redlich–Kwong Equation of State, Kay’s Mixing Rules, phase diagram, Vapor–Liquid Equilibrium Curve, Vapor Pressure Estimation, Clapeyron Equation, Clausius–Clapeyron Equation, Cox Chart, Antoine Equation, Partial Pressure, Dalton’s Law of Partial Pressures, Gibbs’ Phase Rule, Bubble Point, Dew Point, Critical Point, Kinetic Energy, Potential Energy, energy balance, steam turbine, heaters, coolers, compressors, Mechanical Energy Balance, Enthalpy Calculations, Constant Heat Capacity, Psychrometric Chart, Heat of Reaction, Heats of Formation, Heat of Combustion, Heat of Reaction Method, Unsteady-State Material Balance, Unsteady-State Energy Balance

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: 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: 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: Nagoor Kani

School: Federal University of Technology, Owerri

Department: Engineering

Course Code: EEE307, MCE312

Topics: Mathematical model, time response analysis, time response, test signal, impulse response, order of a system, partial fraction expansion, Response of first order system, Response of second order system, time domain specification, steady state error, static error constant, error coefficient, automatic control system, controller, time response analysis, frequency response, sinusoidal transfer function, transfer function, frequency domain, frequency response plot, Bode plot, Magnitude plot, phase plot, Nichols plot, M-circle, N-circle, Nichols chart, Bounded input Bounded output stability, root locus, Routh Hurwitz criterion, Nquist plot, open loop system, closed loop system, mechanical translational system, Laplace transform, mechanical rotational system, electrical system, analogous circuit, block diagram, signal flow graph

Author: Arvid Eide, Roland Jenison, Larry Northup, Steven Mickelson

School: Edo University

Department: Engineering

Course Code: GEE214

Topics: Engineering profession, engineering team, engineering function, engineering design, engineering solutions, engineering measurement, engineering estimations, dimensions, units, conversions, engineering economics, annual worth, annual future worth, sinking fund, decision making, economic decision making, statistics, inferential statistics, sampling, chi-square distribution, F-distribution, mechanics, statics, forces, resultant force, scalars, vectors, strain, design stress, material balance, energy sources, energy alternatives, coal formation, natural gas formation, electrical theory, static electricity, electric potential, Kirchhoff's laws, Mesh current

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: EGR101

School: University of Nigeria, Nsukka

Department: Engineering

Course Code: EGR101

Topics: Engineering, Nigerian society of engineers, COREN, Agricultural and bioresources engineering, civil engineering, electrical engineering, electronic engineering, closed loop control, mechanical engineering, metallurigical and materials engineering

Author: Donald Newnan, Ted Eschenbach, Jerome Lavelle, Neal Lewis

School: Bayero University, Kano

Department: Engineering

Course Code: CIV5201

Topics: Engineering Economic Analysis, economic decisions making, estimating engineering costs, interest, present worth analysis, annual cash flow analysis, rate of return analysis, depreciation, income tax, economic life, replacement analysis, inflation, price change, accounting, engineering economy, Decision-Making Process, costs, estimating models, cash flow diagrams, time value of money, equivalence, arithmetic gradient, annuity due, incremental analysis, future worth analysis, breakeven analysis, probability, Joint Probability Distributions, Economic Decision Trees, risk, Investment Tax Credit

School: Federal University of Technology, Owerri

Department: Science and Technology

Course Code: MTH203

Topics: First Order Differential Equations, Laplace Transform, Second Order Constant Coefficient Linear Differential Equations, Linear Constant Coefficient Differential Equations, Second Order Linear Differential Equations, Discontinuous Functions, Power Series

Tests related to Engineering Mathematics 2

School: WAEC, JAMB & POST UTME

Department:

Course Code: JAMB

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