Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

Why Beamer?A beginning example

Mary Elizabeth Balof 1 Daniel Balof 2

1Miss Betty’s PreSchoolWalla Walla, WA

2YMCA Swim LessonsWalla Walla, WA

Math 236-Calculus LabApril 15-16, 2009

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

Outline

1 Beginnings and NomenclatureThe HistoryEuropean Language

2 The Beamer Document ClassAn Ordinary TeX DocumentInclusion of different file typesOverlaysTransitions

3 Presenting the Mathematics

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

The HistoryPoor Translations

The Origins of Beamer

Beamer was created by Till Tantau for his Ph. D. thesispresentation in 2003.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

The HistoryPoor Translations

The nomenclature

Beamer is the generic European word for overhead projector.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

The HistoryPoor Translations

Est-ce qu’il y a un Beamer?

Hebt u een Beamer?

Egy Beamer nekked van?

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

Why We Love TeX

Beamer handles mathematical expressions exactly as LATEXdoes.

1 Which of the following vector fields F. are conservative?For those that are, find a function f (x , y) such that F = ∇f.

1 F = 〈2xy , x2 + y2〉2 F = 〈2 cos x ,2y cos x〉3 F = 〈2 cos x + ex ,2ey 〉4 F = 〈2 cos y + ey ,2ex〉

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

Including .eps files

80

72

70

64

56

483224

168

605040302010 0

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

Including .jpg files

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

Including .pdf files

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Pointwise Reveal

Why was 6 afraid of 7?Because 7 knocked over a liquor store in LA.Also, 7 was a cannibal.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Pointwise Reveal

Why was 6 afraid of 7?Because 7 knocked over a liquor store in LA.Also, 7 was a cannibal.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Pointwise Reveal

Why was 6 afraid of 7?Because 7 knocked over a liquor store in LA.Also, 7 was a cannibal.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Pointwise Reveal

Why was 6 afraid of 7?Because 7 knocked over a liquor store in LA.Also, 7 was a cannibal.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Single Point Highlight

How we can combine vectors:Vector Addition: a + bScalar Multiplication: λ · aDot Product: a� bCross Product: a× b

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Single Point Highlight

How we can combine vectors:Vector Addition: a + bScalar Multiplication: λ · aDot Product: a� bCross Product: a× b

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Single Point Highlight

How we can combine vectors:Vector Addition: a + bScalar Multiplication: λ · aDot Product: a� bCross Product: a× b

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Single Point Highlight

How we can combine vectors:Vector Addition: a + bScalar Multiplication: λ · aDot Product: a� bCross Product: a× b

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Curtain Rises

You can include fancy transitions a la PowerpointWhether Horizontal

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Curtain Also Rises

or Vertical

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

An Ordinary TeX DocumentFile TypesOverlaysTransitions

The Curtain Dissipates

or Squarely

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

A Theorem on Prime Numbers

TheoremThere exist infintely many primes.

Proof.Assume that there are only finitely many primes, p1 . . . pk .Consider n = Πk

i=1pi + 1. Since gcd(n,pi) = 1 for all i , it followsthat n is divisible by a prime other than those from the finiteset.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

A Theorem on Prime Numbers

TheoremThere exist infintely many primes.

Proof.Assume that there are only finitely many primes, p1 . . . pk .Consider n = Πk

i=1pi + 1. Since gcd(n,pi) = 1 for all i , it followsthat n is divisible by a prime other than those from the finiteset.

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

Columns and Boxes

The CalculiLimitsDerivativesGraphingOptimization

AreaVolumesIntegralsSeries and Sequences

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

Making the document your own

Figuring It out

Balof Why, Beamer!

Beginnings and NomenclatureThe Beamer Class

Presenting the Mathematics

For more...

Til TantauThe Beamer classManual for version 3.0.6Avaliable on the Math 236 Website

Peter SmithLaTEX for LogiciansAvailable on the Math 236 WebsiteOr athttp://www.phil.cam.ac.uk/teaching_staff/Smith/LaTeX/

Balof Why, Beamer!