### Math 3 Section 2, Winter 2004

#
Material used in the class: Maple demos and handouts

###
What is Maple?

Maple is a computer program for doing a variety of symbolic, numeric, and
graphical computations. Such a program is commonly called a CAS, short for
Computer Algebra System. Maple also provides a programming environment, with a
syntax similar to that of pascal. In fact, most of the Maple commands are
written in the Maple programming language. It is possible to look at the source
for most of the Maple commands, and experience programmers can add their own
modifications and extensions to Maple.

Maple was originally developed as a joint research project centered at the
University of Waterloo and ETH Zurich. It is now marketed by
MapleSoft.

###
What kind of problems can Maple solve?

Maple performs best on problems involving symbolic, as opposed to numerical
computation. However, it is generally easier to use Maple on numerical problems
rather than write programs in FORTRAN or C, for numerical calculations that are
not too involved. Maple also provides the user with a lot of graphical power.

###
Where one can find tutorials and guides for Maple?

Extensive
Learning Guide and
Getting Started Guide can be downloaded from
MapleSoft. Tutorials and examples are
available from Maple Application Center.

###
How can Maple be used at Dartmouth?

All enrolled Dartmouth students can download the latest version of Maple
**for free** from
Dartmouth Software Resources web page.

**Introduction:** Basic information
about the course.

**2.1 Tangent Problem:** Maple demo in
Maple Worksheet format,
in HTML format
and as a Maplet (Maple Applet).

**2.2 Limits of functions:** Maple demo in
Maple Worksheet format and
in HTML format.

**2.3 Limit laws:** full page and
in the pocket size handouts.

**2.3 The Squeeze Theorem:** Maple demo in
Maple Worksheet format and
in HTML format.

**2.5 The Intermediate Value Theorem:** Maple demo in
Maple Worksheet format and
in HTML format.

**3.2 Derivatives of functions:** Maple demo in
Maple Worksheet format and
in HTML format.

**3.3 Differentiation Formulas:** full page
and in the pocket size handouts.

**3.7 Implicit differentiation:** Maple demo in
Maple Worksheet format and
in HTML format.

**4.5 Summmary of curve sketching:**
pocket size handout.

**4.9 Newton's method:** Maple demo in
Maple Worksheet format and
in HTML format.

**5.1 Properties of the Definite Integral:**
full page
and in the pocket size handouts.

**7.2* Laws of Logarithms:** Maple demo in
Maple Worksheet format and
in HTML format.

**7.2*-7.4* Laws of Logarithms and Exponents:**
full page
and in the pocket size handouts.

**7.5 Inverse Trigonometric Functions:**
full page
and in the pocket size handouts.