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This text freely uses and refers to numerical and graphical
computations, but it is independent of any particular technology. Any of
the familiar high-level products-Mathematica, Maple, Derive-are certainly sufficient, but hardly necessary. Many
graphing calculators (e.g., the TI-81, 82, and 85, the HP-48G, etc.)
and special-purpose microcomputer software packages are adequate.
Our use of technology is most conveniently described in terms of functionalities. The requirements for Calculus I and Calculus II
differ somewhat:
- Calculus I:
-
Chapters 1-5 (the traditional content of Calculus I) draw freely on
machine graphics; almost any up-to-date form will do.
Most graphing calculators would suffice; so would almost
any flexible microcomputer graphing program, such as MasterGrapher
or MicroCalc.
- Calculus II:
-
To make the best use of the remaining (Calculus II-not
covered in this volume) material, students
will require access to a modest level of numerical computation (mainly
for estimating analytic quantities: integrals, series, etc.) Many
microcomputer software packages provide the necessary functionality; so
do some programmable graphing calculators. In addition, access to
simple symbolic operations (e.g., formal differentiation, Taylor series
expansion) is desirable, but not strictly necessary.
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