: Single and multivariate calculus, including limits, derivatives (chain rule), and optimization. Probability & Statistics
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Solving word problems regarding sequential, non-replacement probability. Programming & Computational Problem Solving Complexity: : Single and multivariate calculus
A symmetric matrix ( S \in \mathbbR^3 \times 3 ) has eigenvalues 3, 1, and -2. What is the value of ( \max_x \neq 0 \fracx^T S xx^T x )? a) 3 b) 1 c) 2 d) -2 derivatives (chain rule)
Let ( Z_1, Z_2, ..., Z_n ) be i.i.d. random variables with mean ( \mu ) and variance ( \sigma^2 ). Define the sample mean ( \barZ_n ).