Calculus Interview Questions for Quant Researchers
Quant Researchers get asked calculus differently from other quant roles - the emphasis shifts with what the job actually does. This is that slice.
72 questions, 31 of them free to practise right now. The split is 10 easy, 49 medium, 13 hard.
- A limit that hides a difference of logsEasyCalculusView →
- A mixed second partial derivativeEasyCalculusView →
- A race between two small-angle ratesEasyCalculusView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- Ripple on a pondEasyCalculusView →
- Slope of a product at a special pointEasyCalculusView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- The peak of a decaying pulseEasyCalculusView →
- When the colony outgrows its life supportEasyBrainteasersCalculusView →
- Where x squared log x bottoms outEasyCalculusView →
- A ladder slipping in oilMediumCalculusView →
- A point near the cone's baseMediumProbabilityCalculusView →
- Density of a uniform squaredMediumRandom VariablesCalculusView →
- Derivative of xˣMediumCalculusView →
- E[X | X > 0] for a standard normalMediumStatisticsCalculusView →
- How fast the bubble's skin growsMediumCalculusView →
- Integrating arctangent by partsMediumCalculusView →
- Maximize xyz on a planeMediumCalculusView →
- Maximum of x^(1/x)MediumCalculusView →
- Newton's division-free reciprocalMediumCalculusView →
- Rate of a growing shadowMediumCalculusView →
- Resonance in undetermined coefficientsMediumCalculusView →
- The Gaussian integralMediumCalculusView →
- Value of iⁱMediumCalculusView →
- Variance of a time-weighted Itô integralMediumCalculusStochastic ProcessesView →
- Volume where two cylinders crossMediumCalculusView →
- A flea's shortest escape across a boxHardBrainteasersCalculusView →
- A function minus its derivativeHardCalculusView →
- Cubes over the terminating denominatorsHardBrainteasersCalculusView →
- Second moment of a Gaussian-kernel stochastic integralHardCalculusStochastic ProcessesView →
- The snow plowHardCalculusView →
- A cube root by tangent lineMediumCalculus Premium
- A divergent reciprocal expectationMediumRandom VariablesCalculus Premium
- A limit via the cosine seriesMediumCalculus Premium
- An integral by symmetryMediumCalculus Premium
- Arc length of a curveMediumCalculus Premium
- Balloon related ratesMediumCalculus Premium
- By parts over an infinite tailMediumCalculus Premium
- Cheapest open-top boxMediumCalculus Premium
- Classify critical points of x^3 - 3xMediumCalculus Premium
- Convergence of the integral of x^(-p)MediumCalculus Premium
- Definite integral of x e^x on [0,1]MediumCalculus Premium
- Double integral of x + y over the unit squareMediumCalculus Premium
- Expectation of −2 ln UMediumRandom VariablesCalculus Premium
- How fast is the balloon growing?MediumCalculus Premium
- Implicit differentiation on a circleMediumCalculus Premium
- Integral by substitution: 2x e^(x^2)MediumCalculus Premium
- Largest pen against a riverMediumCalculus Premium
- Leibniz rule derivative at x = 1MediumCalculus Premium
- Limit of x ln x as x to 0+MediumCalculus Premium
- Limit of x^100 over e^xMediumCalculus Premium
- MLE at a boundaryMediumStatisticsCalculus Premium
- Max rectangle under a parabolaMediumCalculus Premium
- Maximize x + y on the unit circleMediumLinear AlgebraCalculus Premium
- Maximum rate of increaseMediumLinear AlgebraCalculus Premium
- Mean value theorem for x^2MediumCalculus Premium
- Median of a linear densityMediumRandom VariablesCalculus Premium
- Second moment via the MGFMediumRandom VariablesCalculus Premium
- Two uniforms summing below a halfMediumProbabilityRandom Variables Premium
- Two uniforms summing past 1.5MediumProbabilityCalculus Premium
- Volume of revolution of sqrt(x)MediumCalculus Premium
- Where the slope is steepest downhillMediumCalculus Premium
- Within distance d on the unit intervalMediumProbabilityCalculus Premium
- x^4 coefficient of a composed seriesMediumCalculus Premium
- A telescoping partial-fraction sumHardCalculus Premium
- Absorption in naive floating-point summationHardCalculusProgramming & DSA Premium
- An arithmetic-geometric seriesHardCalculus Premium
- Buffon's needleHardProbabilityCalculus Premium
- Exponential martingale compensatorHardCalculusStochastic Processes Premium
- Quadratic variation of a scaled Itô integralHardCalculusStochastic Processes Premium
- Triangle from three independent sticksHardProbabilityCalculus Premium
- Two Newton iterations for a square rootHardCalculusProgramming & DSA Premium
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