Middleton 1
Lea Middleton
History of Mathematics MAT 301
Professor
June 20th 2015
Euclid: The Father of Geometry
A Greek Mathematician
Greek mathematics has been around for centuries and continues to be influential in all aspects of
engineering, physics,
Middleton 1
Lea Middleton
History of Mathematics MAT 301
Professor
June 20th 2015
Derivatives: A Measurement of Change
Middleton 2
INTRODUCTION
I.
Attention Material
A. Fundamental tools in Calculus
1. Introduction of Calculus
2. Definition of a derivativ
Lea Middleton
MAT-301-OL009
May 2015
Chapter 4
#2) If a weight of 8 kg is placed 10 m from the fulcrum of a lever and a weight of
12 kg is placed 8 m from the fulcrum in the opposite direction, toward which
weight will the lever incline?
According to Arch
Lea Middleton
MAT-301-OL009
May 2015
Chapter 17
cx
2
2
#10) Show that the equation a b = x + y is a parabola if b = c, is an ellipse if
( )
b>c, and is a hyperbola if b<c
Squaring both sides
b2
c2 x2
a2 +
When b = c;
y 2=
c2
=1
b2
( )
+a
( 2 acx
b )
2
2
Lea Middleton
MAT-301-OL009
May 2015
Chapter 7
#2) Use the Chinese square root algorithm to find the square root of 142,884
Using a calculator to check, I found out that the
142,884=378
Now using the Chinese method, I know that the square root is in betw
Lea Middleton
MAT-301-OL009
May 2015
Chapter 1
#1) Solve by the method of false position: A quantity and its 2/3 are added together
and from the sum 1/3 of the sum is subtracted, and 10 remains. What is the
quantity? (problem 28 of the Rhind Mathematical
Lea Middleton
MAT-301-OL009
May 2015
Chapter 21
#2. For the prime p = 7, calculate for each integer a with 1< a < 7 the smallest
exponent m such that am 1(mod 7). Show that the theorem in Exercise 1 holds
for all a.
Fermat's little theorem:
ap-1
And am
1
Middleton 1
Lea Middleton
History of Mathematics MAT 301
Professor
June 20th 2015
Derivatives: A Measurement of Change
Middleton 2
Introduction of Calculus
Calculus. What exactly is it? What is it purpose? Why do we even bother to learn it?
These question