Engineering Math interview questions
500 questions with model answers, in four levels. Start with Basic, check yourself honestly, then move up.
Basic questions
- Linear Algebra (13)
- Differential Calculus (13)
- Integral Calculus (13)
- Vector Calculus (12)
- Ordinary Differential Equations (13)
- Partial Differential Equations (12)
- Complex Variables (12)
- Probability (13)
- Statistics (13)
- Numerical Methods (12)
- Transforms (Laplace, Fourier, Z) (12)
- Discrete Math & Optimization (12)
Intermediate questions
- Linear Algebra (13)
- Differential Calculus (13)
- Integral Calculus (13)
- Vector Calculus (12)
- Ordinary Differential Equations (13)
- Partial Differential Equations (12)
- Complex Variables (12)
- Probability (13)
- Statistics (13)
- Numerical Methods (12)
- Transforms (Laplace, Fourier, Z) (12)
- Discrete Math & Optimization (12)
Advanced questions
- Linear Algebra (11)
- Differential Calculus (10)
- Integral Calculus (10)
- Vector Calculus (10)
- Ordinary Differential Equations (11)
- Partial Differential Equations (11)
- Complex Variables (11)
- Probability (11)
- Statistics (10)
- Numerical Methods (10)
- Transforms (Laplace, Fourier, Z) (10)
- Discrete Math & Optimization (10)
Tricky questions
- Linear Algebra (7)
- Differential Calculus (7)
- Integral Calculus (6)
- Vector Calculus (6)
- Ordinary Differential Equations (6)
- Partial Differential Equations (6)
- Complex Variables (6)
- Probability (7)
- Statistics (6)
- Numerical Methods (6)
- Transforms (Laplace, Fourier, Z) (6)
- Discrete Math & Optimization (6)
Sample questions
- What is the rank of a matrix?
- What is a total differential?
- What is the scalar triple product?
- How many initial conditions do the heat and wave equations need?
- What is a cumulative distribution function?
- What is a finite difference?
- How do you check whether Ax = b is consistent?
- What are the nth derivatives of e^(ax) and sin(ax)?
- What is ∇·(φF) in terms of simpler quantities?
- Why do Fourier series appear when solving PDEs?
- What is a moment generating function?
- How does Newton–Raphson compute √N?
- What is SVD, and where is it used?
- Evaluate ∫₀¹ x⁴(1 − x)⁵ dx.
- A 100 L tank holds 10 kg of dissolved salt. Pure water enters and mixture leaves at 5 L/min. When is half the salt gone?
- A component has a constant failure rate λ = 10⁻⁴ per hour. Find its MTBF and its reliability at 1000 h.
- Estimate ∫₀¹ x² dx with h = 0.5 by the trapezoidal and Simpson's rules.
- Can a matrix have a zero eigenvalue?
- Since closed-loop line integrals are zero, is the net work done by friction around a closed path zero?
- A family has two children, and at least one is a boy. What is the probability that both are boys?