Download Engineering Mathematics 4 - GET320 Past Question PDF

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

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

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

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

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

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

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

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

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

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

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

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

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

Topics: laplace transforms, z transforms, gamma functions, beta functions, fourier series, ordinary diffrential equations, power series

Topics: first order equation, second order linear equation, power series, Laplace transform, linear differential equations, autonomous systems, stability, boundary value problem, linear algebra

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

Topics: First order differential Equations, Second order differential equations, Laplace transforms, systems of differential equations, higher order differential equations, boundary value problems and Fourier series, partial diffrential equations

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

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

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

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