Discovering Calculus with the HP-28 and the HP-48
This supplementary text for the standard calculus course focuses on how the HP-28S and the HP-48SX (2 graphing supercalculators) will aid in improving students' understanding of calculus. The calculators are capable of rapid production of graphics and calculations so classes that have access to the machines will save valuable time on graphing and calculations. With supercalculators such as the HP-28S and the HP-48SX, students can focus on true Calculus concepts rather than on computational details.
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Numerical Computation of Limits
Applications of Differentiation
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accuracy algebra answer antiderivative approximate root axis behavior Bisections calculator close command compute conjecture the value critical values current directory curve deﬁned derivative digits display endpoints enter estimate Euler’s method Example EXPLORATORY EXERCISE Introduction FIGURE ﬁnd ﬁnding ﬁrst formula Fourier series function f given graph of f graphics window HP-28S graph HP-48SX graph inﬁnite series initial guess interval keystrokes limit located look loss of signiﬁcance mathematics method program move the cursor MSEC Newton’s method Note Notice Numerical Analysis parabola PICT pixels Plot menu PLOTR press the soft problem Program Step Explanation Recall Riemann sums screen secant line Secant method sequence series converges signiﬁcance error Simpson’s rule slope soft key solution solve Solver speciﬁc stack and press Store the program subdirectory tangent line Taylor polynomials Taylor series Theorem trapezoid rule User value of f value on line variable velocity zero zoom