Advanced Engineering Mathematics Questions And Answers
Our 1000+ Engineering Mathematics MCQs (Multiple Choice Questions and Answers) focus on all areas of Engineering Mathematics covering 100+ topics. These topics are chosen from a collection of the most authoritative and best reference books on Engineering Mathematics. One should spend 1 hour daily practicing these MCQs for 2-3 months to learn and assimilate Engineering Mathematics subject comprehensively. This way of systematic learning will prepare anyone easily for Engineering Mathematics exams, contests, online tests, quizzes, MCQ-tests, viva-voce, interviews, and certifications.
Engineering Mathematics Multiple Choice Questions Highlights
- 1000+ Multiple Choice Questions & Answers (MCQs) in Engineering Mathematics with a detailed explanation of every question.
- These MCQs cover theoretical concepts, true-false(T/F) statements, fill-in-the-blanks and match the following style statements.
- These MCQs also cover numericals as well as diagram oriented MCQs.
- These MCQs are organized chapterwise and each Chapter is futher organized topicwise.
- Every MCQ set focuses on a specific topic of a given Chapter in Engineering Mathematics Subject.
Who should Practice Engineering Mathematics MCQs?
– Students who are preparing for college tests and exams such as mid-term tests and semester tests on Engineering Mathematics.
- Students who are preparing for Online/Offline Tests/Contests in Engineering Mathematics.
– Students who wish 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 College / School Students.
Engineering Mathematics Chapters
Here's the list of chapters on the "Engineering Mathematics" subject covering 100+ topics. You can practice the MCQs chapter by chapter starting from the 1st chapter or you can jump to any chapter of your choice.
- Differential Calculus
- Partial Differentiation
- Maxima and Minima
- Curve Tracing
- Integral Calculus
- Multiple Integrals
- Ordinary Differential Equations – First Order & First Degree
- Linear Differential Equations – Second and Higher Order
- Series Solutions
- Special Functions – Gamma, Beta, Bessel and Legendre
- Laplace Transform
- Matrices
- Eigen Values and Eigen Vectors
- Vector Differential Calculus
- Vector Integral Calculus
- Fourier Series
- Partial Differential Equations
- Applications of Partial Differential Equations
- Fourier Integral, Fourier Transforms and Integral Transforms
- Complex Numbers
- Complex Function Theory
- Complex Integration
- Theory of Residues
- Conformal Mapping
- Probability and Statistics (Mathematics III / M3)
- Numerical Methods / Numerical Analysis (Mathematics IV / M4)
1. Differential Calculus
The section contains multiple choice questions and answers on leibniz rule, nth derivatives, rolles and lagrange mean value theorem, taylor mclaurin series, indeterminate forms, curvature, evolutes, envelopes, polar curves, arc length derivation, area derivatives, angle between radius vector and tangent, cauchy's and generalized mean value theorem
2. Partial Differentiation
The section contains questions and answers on limits and derivatives of variables, implicit and partial differentiation, eulers theorem, jacobians, quadrature, integral sign differentiation, total derivative, implicit partial differentiation and functional dependence.
3. Maxima and Minima
The section contains MCQs on maxima and minima of variables, taylors theorem two variables, lagrange method to find maxima or minima.
4. Curve Tracing
The section contains multiple choice questions and answers on cartesian form curves and standard curves, parametric curves, standard polar and parametric curves.
5. Integral Calculus
The section contains questions and answers on integral reduction formula, improper integrals, quadrature, rectification, surface area and volume of solid, polar and parametric forms rectification.
6. Multiple Integrals
The section contains MCQs on double integrals and its applications, variables changing in double and triple integrals, dirichlet's integral, triple integral and its applications.
7. Ordinary Differential Equations – First Order & First Degree
The section contains multiple choice questions and answers on first order first degree differential equations, homogeneous form, seperable and homogeneous equations, bernoulli equations, clairauts and lagrange equations, orthogonal trajectories, natural growth and decay laws, newtons law of cooling and escape velocity, simple electrical networks solution, mathematical modeling basics, geometrical applications, first order linear and nonlinear differential equations.
8. Linear Differential Equations – Second and Higher Order
The section contains questions and answers on undetermined coefficients method, harmonic motion and mass, linear independence and dependence, second order with variable and constant coefficients, non-homogeneous equations, parameters variation methods, order reduction method, differential equations with variable coefficients, rlc circuit and simple pendulum problems.
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9. Series Solutions
The section contains MCQs on singularities classification, power series solution to differential equations, liouville problems, functions orthogonality and gram-schmidt orthogonalization process.
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10. Special Functions – Gamma, Beta, Bessel and Legendre
The section contains multiple choice questions and answers on special functions like gamma, beta, bessel, chebyshev and legendre, bessel's differential equations, fourier legendre and bessel series.
11. Laplace Transform
The section contains questions and answers on laplace transform functions and properties, laplace transform of elementary functions, newtons law and laplace convolution, functions orthogonality, inverse laplace transform, laplace transform applications and tables.
12. Matrices
The section contains MCQs on matrices types and properties, finding inverse and rank of a matrix, matrix rank in row echelon, paq and normal form, system equations and their consistencies, equations using gauss elimination method, curve fitting, solving equations by crout's method, system of homogeneous and linear non-homogeneous equations, lu-decompositions, tridiagonal systems solution, derogatory and non-derogatory matrices.
13. Eigen Values and Eigen Vectors
The section contains multiple choice questions and answers on eigen values and vectors of a matrix, cayley hamilton theorem, elementary functions linear transformation, eigenvalues and eigenvectors properties, real matrices like symmetric, skew-symmetric and orthogonal quadratic form, canonical form, sylvester's law of inertia, complex matrices like hermitian, skew-hermitian and unitary matrices.
14. Vector Differential Calculus
The section contains questions and answers on directional derivative, divergence and curl of vector field, function and conservative field, divergence and curl properties, coordinates conversions, vector differentiation and second-order differential operator.
15. Vector Integral Calculus
The section contains MCQs on line, surface and volume integrals, vector function integration, plane green's theorem, stokes and gauss divergence theorem.
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16. Fourier Series
The section contains multiple choice questions and answers on fourier series expansions, fourier half range series, buler's formulae, fourier series for even and odd functions and practical harmonic analysis.
17. Partial Differential Equations
The section contains questions and answers on first order pde, partial differential equations basics, first order linear and non-linear pde, charpit's method, homogeneous and non-homogeneous linear pde with constant coefficient, cauchy type differential equation and second order pde solution.
18. Applications of Partial Differential Equations
The section contains MCQs on solution of 1d heat equation and pde solution by variable separation method, variables seperation method, derivation of one-dimensional heat and wave equation, derivation of two-dimensional heat and wave equation, circular membrane vibration and transmission line equation.
19. Fourier Integral, Fourier Transforms and Integral Transforms
The section contains multiple choice questions and answers on fourier transform and convolution, linear difference equations, z-transforms, fourier integral theorem, parseval's identity, finite fourier sine and cosine transforms.
20. Complex Numbers
The section contains questions and answers on deMoivre's theorem, trigonometric functions expansion, complex conjugates, complex plane regions, complex numbers logarithm, powers and roots.
21. Complex Function Theory
The section contains MCQs on complex function, complex function continuity, complex variable functions, differentiability and analyticity, cauchy-riemann equations, harmonic and conjugate harmonic functions.
22. Complex Integration
The section contains multiple choice questions and answers on cauchy's integral theorem and formula, analytic functions derivation, complex plane line integral, complex sequence, series, and power series, zeros and poles, taylor's and laurent series.
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23. Theory of Residues
The section contains questions and answers on residue, residue theorem, real integrals evaluation, argument principle, algebra fundamental theorem, rouche's and liouville theorems.
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24. Conformal Mapping
The section contains MCQs on conformal mapping, elementary functions conformal mapping, transformations, joukvowski's transformation, bilinear and schwarz-christoffel transformation.
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25. Probability and Statistics (Mathematics III / M3)
The section contains multiple choice questions and answers on probability and statistics.
26. Numerical Methods / Numerical Analysis (Mathematics IV / M4)
The section contains questions and answers on numerical analysis and methods.
If you would like to learn "Engineering Mathematics" thoroughly, you should attempt to work on the complete set of 1000+ MCQs - multiple choice questions and answers mentioned above. It will immensely help anyone trying to crack an exam or an interview.
Wish you the best in your endeavor to learn and master Engineering Mathematics!
Advanced Engineering Mathematics Questions And Answers
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