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.
– 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
Clairauts and Lagrange Equations
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
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
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
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
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
Probability Distributions – 1
Probability Distributions – 2
Review of Counting
Theorem of total Probability
Sampling Distribution of Means
Sampling Distribution of Proportions
Testing of Hypothesis
Testing of Hypothesis Concerning Single Population Mean
Joint Probability Distribution
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.
Newton-Gregory Forward Interpolation Formula
Stirling and Bessel’s Interpolation Formulae
Inverse Interpolation Using Lagrange’s Interpolation Formula
Newton’s Divided Differences Formula
Errors In Polynomial Interpolation
Symbolic Relations and Separation of Symbols
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
Wish you the best in your endeavor to learn and master Engineering Mathematics!