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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §1.2 Calculus Without Limits, #31 · Calculus · Derivatives

For the discrete sine … find the second differences … and …

This problem involves periodic $f$ ’s and $v$ ’s (like $sin t$ and $cos t$ ).

For the discrete sine $f = 0, 1, 1, 0, - 1, - 1, 0$ find the second differences $a_{1} = f_{2} - 2 f_{1} + f_{0}$ and $a_{2} = f_{3} - 2 f_{2} + f_{1}$ and $a_{3}$ . Compare $a_{j}$ with $f_{j}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §1.2 Calculus Without Limits, #31

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