## Maple examples for MA 163H

Lab 1 - Plotting with Maple

· __Part 1__
( **.htp** , **.mws**) In this
exercise we learn how to plot using *Maple*.

· __Part____ 2__ (
**.htp** , **.mws**) In this
exercise we learn how to animate with *Maple*. Animation is applied to the
introduction of a tangent line through secant lines.

Lab 2 Finding limits with
Maple

· __Part____ 1__ (
**.htp** , **.mws**) This worksheet
investigates the numerical limits with *Maple *and round-off errors, or
why computers cant model continuous processes.

· __Part____ 2__ (
**.htp** , **.mws**) This worksheet is
a homework guide.

Lab 3 Limits tutorial with
Maple, Loss-of-error guide

· __Part____ 1__ (**.mws**)

· __Part____ 2__ (**.mws**)

Lab 4 The tangent line as
derivative

· __Part____ 2__ (
**.htp** , **.mws**) More on
animation with *Maple*. We roll a tangent line over a curve and study
slope function.

Lab 5 Use of
Differentiation Methods Tutor.

Lab 6 What does f ` say about
the graph of f? What does f `` say about the graph of f?

· __Part____ 1__ (**.mws**)

Lab 7 Do animation of
Exercises 3.6: 34-38 using the clickable calculus to animate and write a
summary on the dependence on c.

· __Part____ 1__ (**.mws**)

Lab 8 Increasing/decreasing,
concave up/down behavior. Maximize and minimize commands.

· __Part____ 1__ (**.mws**)

Lab 9 Linear approximations
and Newtons method

· __Part____ 1__ (**.mws**)

Lab 10
Integrating with Maple.

· __Part____ 1__ (**.mws**) Here we
integrate and differentiate a function and combine Calculus and CAS for problem
solving .

· __Part____ 2__ (**.mws**) Here we
show numerical integration and area
approximation on* Maple*.

Lab 10 assignment

**Part 1:** 4.1: 8,
12, 19, 27, 30 with IntTutor.

**Part 2:** 4.3: 6, 7, 8, 9: Use the leftbox, middlebox, rightbox and the leftsum,
middlesum, rightsum
commands to solve the problems with Maple.

Lab 11 More integration with
Maple.

**Part 1:** 4.6: 3, 7,
11, 21, 33, 36 - Use the substitution feature of IntTutor
to solve these problems.

**Part 2: **4.7: 7-12,
19, 21, 23-26 Using the Approximate Integration Maple Tutor do these
exercises. Use the close and return value to show your work.

· __Part____ 1__ (**.mws**) We draw
the Lone Star State
map .