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Calculus & Linear Algebra Interview Questions
Calculus and linear algebra questions cover integration tricks, limits, Taylor series, eigenvalues and the Gaussian integral that recur across quant research interviews. All 16 calculus & linear algebra questions below come with a full worked solution — sign in to check your answers and track your progress.
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Definite Integral of x²
Goldman Sachs
Limit of sin(x)/x
Goldman SachsMorgan Stanley
Eigenvalues of a 2×2
Goldman SachsCitadel
Gaussian Integral
Goldman SachsTwo Sigma
Derivative of xˣ
Jane StreetCitadel
Maximize x^(1/x)
Jane StreetSIG / Susquehanna
Geometric Series
Goldman Sachs
Limit of (1+1/n)^n
Goldman SachsMorgan Stanley
Integral of x·e^(−x)
Goldman SachsTwo Sigma
L'Hôpital — (eˣ−1)/x
Goldman SachsMorgan Stanley
Derivative of ln(x)
Goldman Sachs
Sum of First 10 Squares
Jane StreetTwo Sigma
Trace = Sum of Eigenvalues
Two SigmaGoldman Sachs
Determinant = Product of Eigenvalues
Two SigmaDE Shaw
Integrate x·eˣ
Goldman SachsMorgan Stanley
Approximate cos(0.1)
Jane StreetOptiver
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