Calculus Questions for Market Maker Interviews
A market maker round does not test calculus the way a textbook does. This set is the overlap - the calculus questions that actually turn up in this format.
33 questions, all free to practise. The split is 3 easy, 21 medium, 9 hard.
- A mixed second partial derivativeEasyCalculusView →
- Summing n plus one over two to the nEasyCalculusView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- A divergent reciprocal expectationMediumRandom VariablesCalculusView →
- A limit via the cosine seriesMediumCalculusView →
- A point near the cone's baseMediumProbabilityCalculusView →
- An integral by symmetryMediumCalculusView →
- Convergence of the integral of x^(-p)MediumCalculusView →
- Definite integral of x e^x on [0,1]MediumCalculusView →
- Density of a uniform squaredMediumRandom VariablesCalculusView →
- Derivative of xˣMediumCalculusView →
- Double integral of x + y over the unit squareMediumCalculusView →
- How fast the bubble's skin growsMediumCalculusView →
- Integral by substitution: 2x e^(x^2)MediumCalculusView →
- Integrating arctangent by partsMediumCalculusView →
- Leibniz rule derivative at x = 1MediumCalculusView →
- Limit of x^100 over e^xMediumCalculusView →
- Max rectangle under a parabolaMediumCalculusView →
- Maximize x + y on the unit circleMediumLinear AlgebraCalculusView →
- Median of a linear densityMediumRandom VariablesCalculusView →
- The Gaussian integralMediumCalculusView →
- Value of iⁱMediumCalculusView →
- Volume where two cylinders crossMediumCalculusView →
- Within distance d on the unit intervalMediumProbabilityCalculusView →
- A flea's shortest escape across a boxHardBrainteasersCalculusView →
- A telescoping partial-fraction sumHardCalculusView →
- An arithmetic-geometric seriesHardCalculusView →
- Buffon's needleHardProbabilityCalculusView →
- Cubes over the terminating denominatorsHardBrainteasersCalculusView →
- Exponential martingale compensatorHardCalculusStochastic ProcessesView →
- Second moment of a Gaussian-kernel stochastic integralHardCalculusStochastic ProcessesView →
- The snow plowHardCalculusView →
- Two Newton iterations for a square rootHardCalculusProgramming & DSAView →
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This set is a slice of two larger ones. If it is too narrow, start here instead:
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