September 9th and 16th Lectures

Today’s lecture 1. TexPoint and MathType

2. Introducing Inside Math

3. Ten Things to Try: #1,2,4,5,9 (9th) #3,6,7,8,10 (16th)

1. The Final Project• the midterm on the 25th

Newton’s computation of ¼

Wisdom for today in TexPoint (for ppt):

MathType and TexPoint

Wisdom for today in MathType (for word and ppt):2

2

b -4ac is an over rated formula or did I mean

4?

2

D

b b ac

a

2 4

2

b b ac

a

441

20

1 22

1 7

x xdx

x

in TexPoint becomes the following in MathType

Avoid dumb extras

MathType: an Advert

Inside Math and MathResourceBoth are Mathematics dictionaries on Steroids:

–They allow you also to obtain output/draw pictures that can be dropped into Word or PowerPoint or Excel, or ….–Inside Math (School) and the MathResource (University)–We shall also see Portrait 4 (Shown below)

• Manual is on M2600 webpage

Maths dictionaries on Steroids:n. one of the five regular polyhedra, once imbued with great mystical significance: a cube, a regular tetrahedron, a regular octahedron, a regular dodecahedron, or a regular icosahedron. Johannes Kepler (1571 - 1630) was led to his discovery of the laws of planetary motion and his defence of Copernican astronomy by circum-scribing or inscribing the orbits of the five other known planets around the Platonic solids, with an inscribed or circumscribed circle representing the orbit of the Earth; the results agree with observation, allowing for eccentricity, to within approximately 5%.

(OCR from MathResource)

Inside Math and MathResource, IIFrom Inside Math

Ten Things to Try

Most of these we have seen some would make good projects:

Ten Things to TryFive things

Ramanujan and the Taxi Cab #1729

Ten Things to TryFive more things

From my Own Past

Foxtrot I (#6)

#6. FoxTrotFoxTrot

Try the other 3

Foxtrot II

#9 Dynamics#9. Plotting the Region of Convergence

The truth?

-10

-5

0

5

10 -10

-5

0

5

10

0

20

40

-10

-5

0

5

10

-4-2

02

4-4

-2

0

2

4

0

5

10

15

-4-2

02

4

#10. Nick Trefethen’s 100 Digit/100 Dollar Challenge, Problem 4 (SIAM News, 2002)

# 10 Pictures

I expect 16-20 power point slides or 10-15 pages in Word which describe (using an appropriate level of mathematical text setting, prose and images) a Maple based exploration of one or more related topics.

Examples – A handful of the Explorations

• anywhere in the Computer as Crucible

– Two or Three of the Ten Things to Try– An essay on the History of Pi– Another topic of your own choosing

In each case we want to “sign off” with you on the topic before the break.

– Either with Matt in a Tutorial or by email or in person with me.

The Final Project

To pass, you just have to follow the rules.

To get a good mark, you have to show some initiative and

add some value.

Don’t miss the Fair

September 18th

10am until 2pm