# Engineering Mathematics Questions and Answers

Our 1000+ Engineering Mathematics questions and answers focuses on all areas of Engineering Mathematics subject covering 100+ topics in Engineering Mathematics. These topics are chosen from a collection of most authoritative and best reference books on Engineering Mathematics. One should spend 1 hour daily for 2-3 months to learn and assimilate Engineering Mathematics comprehensively. This way of systematic learning will prepare anyone easily towards Engineering Mathematics interviews, online tests, examinations and certifications.

**Highlights**

– 1000+ Multiple Choice Questions & Answers in Engineering Mathematics with explanations.

– Every MCQ set focuses on a specific topic in Engineering Mathematics Subject.

**Who should Practice these Engineering Mathematics Questions?**

– Anyone wishing to sharpen their knowledge of Engineering Mathematics Subject.

– Anyone preparing for aptitude test in Engineering Mathematics.

– Anyone preparing for interviews (campus/off-campus interviews, walk-in interview and company interviews).

– Anyone preparing for entrance examinations and other competitive examinations.

– All – Experienced, Freshers and Students.

**Here’s list of Questions & Answers on Engineering Mathematics Subject covering 100+ topics:**

#### 1. Differential and Integral Calculus

The section contains questions and answers on leibniz rule, nth derivatives, rolles and lagrange mean value theorem, taylor mclaurin series, indeterminate forms, curvature, limits and derivatives of variables, implicit and partial differentiation, eulers theorem, maxima and minima of variables, improper and double integrals, evolutes, envelopes, jacobians, quadrature, rectification, surface area and volume of solid, double and triple integrals.

#### 2. Ordinary Differential Equations

The section contains questions on laplace transform functions and properties, homogeneous equations and forms, bernoulli, clairauts and Lagrange equations, simple pendulum problems, special functions, bessel equations and series, othagonal trajectories, differential equations, newtons law and laplace convolution.

Existence and Laplace Transform of Elementary Functions – 1 Existence and Laplace Transform of Elementary Functions – 2 Laplace Transform by Properties – 1 Laplace Transform by Properties – 2 Laplace Transform by Properties – 3 First order First Degree Differential Equations Seperable and Homogeneous Equations Reducible to Homogeneous Form Exact Differential Equations and Reducible to Exact First order Linear Differential Equations Bernoulli Equations Clairauts and Lagrange Equations Orthogonal Trajectories Law of Natural Growth and Decay Newtons Law of Cooling and Escape Velocity Simple Electrical Networks Solution Differential Equations With Variable and Constant Coefficients |
Method of Undetermined Coefficients Reduction to System of LDE Harmonic Motion and Mass – Spring System RLC Circuit and Simple Pendulum Problems Power Series Solution to Differential Equations Frobenius and Strum – Liouuville Problems Special Functions -1 (Gamma) Special Functions -2 (Beta) Special Functions -3 (Bessel) Special Functions -4 (Legendre) Special Functions -5 (Chebyshev) Differential Equations Reducible to Bessels Equation Fourier Legendre and Bessel Series Laplace Transform of Periodic Functions Inverse Laplace Transform Laplace and Convolution Solution of DE With Constant Coefficients Using The Laplace Transform |

#### 3. Linear Algebra and Vector Calculus

The section contains questions and answers on rank of matrix, gauss elimination method, eigen values and vectors, cayley hamilton theorem, directional derivative, divergence and curl, conversions, line and surface integrals, volume integrals, green theorem, stokes and gauss divergence theorem.

Finding Inverse and Rank of a Matrix System of Equation Using Gauss Elimination Method Tridiagonal System Linear Transformation of Elementary Functions Eigen Values and Vectors of aMatrix Using Properties of Eigen Values and Eigen Vectors Cayley Hamilton Theorem Sylvesters Law of Inertia and Canonical Forms of Matrices Directional Derivative |
Gradient of a Function and Conservative Field Divergence and Curl of a Vector Field Using Properties of Divergence and Curl Conversion From Cartesian, Cylindrical and Spherical Coordinates Line Integrals Surface Integrals Volume Integrals Greens Theorem In a Plane Stokes and Gauss Divergence Theorem |

#### 4. Fourier Analysis and Partial Differential Equations

The section contains questions on fourier series expansions, harmonic analysis, partial differentiation, charpits method, heat and wave equations, fourier transform, parsevals identity and z-transforms equations.

Fourier Series Expansions Fourier Half Range Series Practical Harmonic Analysis Partial Differential Equations of First order Charpits Method and Cauchy Type Equation |
1d Heat Equation and Wave Equation 2d Heat Equation Fourier Transform and Convolution Parseval’s Identity Linear Difference Equations and Z – Transforms |

#### 5. Complex Analysis

The section contains questions on complex functions, cauchy riemann equations, line integrals, cauchy theorem, taylor and laurent series, rouche and lioville problems.

Continuity and Differentiability of Complex Functions Cauchy Riemann Equations In Cartesian and Polar Form Line Integral In Complex Plane Using Cauchy Theorem For Line Integrals |
Taylor and Laurent Series In Complex Domain Evaluation of Real Integrals Using The Residue Theorem Rouche and Lioville Theorem |

#### 6. Probability and Statistics

The section contains questions on probability, bayes theorem, probability distribution, binomial, normal, poisson and exponential distributions, counting review, probability and chebyshevs theorem, gamma, weibull and sampling distribution, T, F and chi-square distribution, hypothesis testing, joint probability distribution and markov chain.

Set Theory of Probability – 1 Set Theory of Probability – 2 Bayes’ Theorem Probability Distributions – 1 Probability Distributions – 2 Binomial Distribution Poisson Distribution Normal Distribution Review of Counting Theorem of total Probability Chebyshev’s Theorem Exponential Distribution |
Gamma Distribution Weibull Distribution Sampling Distribution Sampling Distribution of Means Sampling Distribution of Proportions t -Distribution Chi-Squared Distribution F-Distribution Testing of Hypothesis Testing of Hypothesis Concerning Single Population Mean Joint Probability Distribution Markov Chain |

#### 7. Numerical Analysis

The section contains questions and answers on interpolation, lagrange and spline interpolation, numerical differentiation, gauss siedel method, eigen value and vector, symbolic relations, inverse interpolation, picards method, adams bashforth moulton method, divided difference, numerical solutions to Pde, 1d and 2d wave equations.

Interpolation Newton-Gregory Forward Interpolation Formula Central Differences Stirling and Bessel’s Interpolation Formulae Lagrange Interpolation Inverse Interpolation Using Lagrange’s Interpolation Formula Divided Difference Newton’s Divided Differences Formula Errors In Polynomial Interpolation Symbolic Relations and Separation of Symbols Numerical Differentiation |
Spline Interpolation Gauss-Siedel Method Largest Eigen Value and The Corresponding Eigen Vector Numerical Solutions of First order ordinary Differential Equations Picard’s Method of Successive Approximation Adams Bashforth Moulton Method Numerical Solutions to Pde Numerical Solutions to 1d Wave Equation Numerical Solution to 2d Wave Equation Numerical Solution to 2d Laplace Equation |

Here’s the list of Best Reference Books in Engineering Mathematics.

**Wish you the best in your endeavor to learn and master Engineering Mathematics!**