MATH 1501: WEEK 5
Topics for this week are:
- Rates of change
- The chain rule
- Differentiation of trigonometric functions
Text coverage:
Section 3.4 - 3.6 of Salas, Hille, and Etgen
Online resources:
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Online notes
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Maple worksheets
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Slopes, Tangent Lines, and Derivatives: This worksheet gives
animated visualization for the computation and role of a tangent
line. The worksheet
is appropriate at an early stage in a study of differential
calculus.
-
Reflections on Differentiation: This worksheet is
designed to introduce how to differentiate both functions and
expressions. The problem of finding extreme values of simple
functions is illustrated by using Fermat's Principle to find the
path of reflected light. Some fancier plotting capabilities and also
the equation solving ability of Maple are also introduced.
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Java Projects
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Tangent lines to graphs of a single variable: This
applet is designed for experimenting with tangent lines and the
linear approximation to a function.
-
Secant lines and their relation to tangent lines for graphs of a
single variable: This
applet is designed for experimenting with secant lines and the
secant line approximation to the tangent.
Last Modified:
.
School of Mathematics,
Georgia Institute of Technology.