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3. Table of contents
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of the section here
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01 02 03
History of National
Mathematics Day
How to celebrate
Mathematics Day
Let's solve
operations
4. Perfect Number (Bilangan Sempurna)
Karena kepercayaan mistis tertentu, orang Yunani kuno tertarik pada
bilangan bulat yang sama dengan jumlah dari semua pembagi positif
yang tepat. Bilangan bulat seperti itu disebut bilangan sempurna.
Definisi.
Jika 𝑛 bilangan bulat positif dan 𝜎 𝑛 = 2𝑛, maka 𝑛 disebut bilangan
sempurna.
Contoh 7.10.
Karena 𝜎 6 = 1 + 2 + 3 + 6 = 12, maka 6 adalah bilangan sempurna.
Perhatikan juga bahwa 𝜎 28 = 1 + 2 + 4 + 7 + 14 + 28 = 56, maka 28
juga merupakan bilangan sempurna.
5. Teorema 7.10.
Bilangan bulat positif n adalah bilangan sempurna jika dan hanya jika
𝑛 = 2𝑚−1
(2𝑚
− 1),
dimana 𝑚 ≥ 2 dan 2𝑚
− 1 prima.
Teorema 7.11. Jika 𝑚 bilangan bulat positif dan 2𝑚
− 1 prima, maka 𝑚
pasti prima.
6. Mersenne Primes (Prima Mersenne)
Definisi.
Jika 𝑚 bilangan bulat positif, maka 𝑀𝑚 = 2𝑚
− 1 disebut bilangan
Mersenne ke-m; jika 𝑝 adalah prima dan 𝑀𝑝 = 2𝑝
− 1 juga prima, maka 𝑀𝑝
disebut prima Mersenne.
Contoh 7.11.
Bilangan Mersenne 𝑀7 = 27
− 1 adalah bilangan prima, sedangkan bilangan
Mersenne 𝑀11 = 211
− 1 = 2047 = 23 . 89 adalah komposit.
Teorema 7.12.
Jika 𝑝 adalah bilangan prima ganjil, maka setiap pembagi dari bilangan
Mersenne 𝑀𝑝 = 2𝑝
− 1 berbentuk 2𝑘𝑝 + 1, maka 𝑘 adalah bilangan bulat
positif.
8. Who was Srinivasa Ramanujan?
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9. Celebrating Ramanujan's birthday
Venus has a beautiful
name and is the second
planet from the Sun
Mercury is the closest
planet to the Sun and the
smallest of them all
Maths day Paying tribute
10. How to celebrate Mathematics Day
Mercury is the closest
planet to the Sun and the
smallest one of them all
Venus has a beautiful
name and is the second
planet from the Sun
Despite being red, Mars is
actually a cold place. It's
full of iron oxide dust
Read up about
trigonometry
Watch the movie
about Ramanujan
Encourage other
students’ strengths
11. Important contributions made by
Ramanujan to mathematics
Despite being red, Mars is actually
a cold place
Venus has a beautiful name, but
also high temperatures
Jupiter is the biggest planet in
the Solar System
Saturn is a gas giant and has
several rings
The riemann series
Elliptic integrals
Divergent series theory
Hypergeometric series
12. Venus has extremely
high temperatures
Neptune is far away
from us
5 amazing facts about
trigonometry
Mars is actually a very
cold place
Jupiter doesn’t have a
solid surface
Saturn is a gas giant
with several rings
The fundamental
identities
An ancient
calculation
Mathematics as
music
The meaning of
trigonometry
Trigonometry
helps us navigate
18. Jupiter's rotation period
9h 55m 23s
333,000
The Sun’s mass compared to Earth’s
386,000 km
Distance between Earth and the Moon
19. Mercury is the smallest
planet of them all
Calculus
Venus is extremely hot,
even more than
Mercury
Arithmetics
Despite being red, Mars
is actually a cold place
Geometry
Popular branches of mathematics
25%
50%
75%
20. Computer
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23. The University
of Tokyo
University of
Chicago
University of
Paris-Sud
Universities to study maths
Venus is the second
planet from the Sun
Mars is full of iron
oxide dust
Mercury is the closest
planet to the Sun
24. Mathematics timeline
Ramanujan is
born
Venus is the second
planet from the Sun
A high
achievement
Mercury is the closest
planet to the Sun
Mathematics Day
is recognized
Despite being red, Mars
is a very cold place
Revisiting
Ramanujan
Jupiter is the biggest
planet of them all
1887 1918 2012 2019
25. Practically every
career uses math
Venus has a beautiful name,
but also high temperatures
Why do we love maths?
It inspires us to
educate ourselves
Mercury is the smallest
planet of them all
Despite being red, Mars is
actually a cold place
Mathematics is a
universal language
26. Mathematics day dates
Year Date Day
2022
December 22
Thursday
2023 Friday
2024 Sunday
2025 Monday
2026 Tuesday
27. Participation in the math olympics
Follow the link in the graph to modify its data and then paste
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Under fifteen
years
Mercury is the
smallest planet
Over fifteen
years old
Jupiter is the
biggest planet
28. Bryan Oslo
Sofia Hill
Our best students
You can speak a bit about
this person here
You can speak a bit about
this person here
29. Branches of mathematics
Pure
maths
Mars is actually a
very cold place
Arithmetics
Venus is the second
planet from the Sun
Algebra
Saturn is a gas giant
and has several rings
Geometry
Neptune is far away
from Earth
Trigonometry
Jupiter is the biggest
planet of them all
Number theory
33. Skip counting by 5’s
Fill in the blanks with the corresponding number
5 xx 15 xx 25
30 xx 40 xx 50
55 xx 65 xx 75
34. Math maze
The bee must go from 1
to 16 to find the
flower
Mark each box with
yellow color
2 3 4 7 5
1 2 9 6
3 2 1 4 6 7 9
4 9 8 6 10 9 18
5 6 3 7 11 17 19
8 7 5 14 16 13 17
15 8 9 14 15 14 16
17 12 10 13 16
14 13 11 12
35. Count and color
Color the picture
using solution to the
math question to
select the color
6-1
3+2
8-1
7 = Yellow
5 = Green
9 = Red
9-2
5+4
7+2
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