Home
Year
11 Mathematics B
General
Resources
Graphics
Calculators
Chapter
One
Chapter Two
Chapter
Three
Chapter Four
Chapter Five
Chapter
Seven
Chapter
Eight
Chapter
Nine
Chapter
Ten
Chapter
Eleven
Year
12 Mathematics B
Authors
Kiddy
Bolger
Rex Boggs
Rhonda Faragher
John Belward
Email: Webmaster
Chapter
Eleven
Introduction
to Differential Calculus
Additional Resources
Solutions to Problems
Still to come. Solutions to ALL problems in the textbook will be available
from this website.
Solutions to Selected Exercises
Still to come. Solutions to the non-standard exercises (e.g. those for
which there is no worked example) will be available from this website.
A Geometric
Approach to the Product Rule (pdf)
This proof of the product rule is the best for understanding where the
rule actually comes from.
Web
Links
Put
the Heart into Mathematics
http://illuminations.nctm.org/imath/912/cardiac/index.html
This
activity explores the measurement of the amount of blood being pumped by
a heart. The goal of this investigation is a rich exploration of rates of
change and accumulation in context.
Java
applets - Calculus
http://www.ies.co.jp/math/java/calc/index.html
Sixty-four Java applets to support the learning of calculus.
Surfboard
applet
http://www.ies.co.jp/math/java/calc/doukan/doukan.html
This is one of the applets in the above collection. It demonstrates the link between a function and its related gradient function beautifully.
Maths
Online – Differentiation One
http://www.univie.ac.at/future.media/moe/galerie/diff1/diff1.html
Some lovely interactive applets that teach the introductory concepts of differential calculus.
Trigonometry
and Calculus Problems of the Week
http://forum.swarthmore.edu/calcpow/solutions/
An archive of the Problems of the Week from Math Forum. With answers!
Calculus
I Projects
http://faculty.prairie.cc.il.us/skifowit/projects/aprojects.htm
Though called projects, I would probably classify these as part exercises / part problems. But there are some nice questions here.
MathServ
Toolkit
http://mss.math.vanderbilt.edu/~pscrooke/toolkit.html
The MathServ Toolkit is a web-based interface with Mathematica, a computer algebra system. Amongst other things, it can find limits and derivative functions.