Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
IUM-02 Limit
Search
kanaya
April 27, 2024
0
150
IUM-02 Limit
kanaya
April 27, 2024
Tweet
Share
More Decks by kanaya
See All by kanaya
PLT-X1 Division by Zero and Maybe
kanaya
1
25
IUM-03-Short Series of Functions
kanaya
0
91
PLT-02 How to Count Words
kanaya
0
60
IMU-00 Pi
kanaya
0
360
The Art of Note Taking
kanaya
1
130
IMU-06 Complex
kanaya
0
82
IMU-05 Calculus
kanaya
0
120
PLT-X1 Boolean and Integral Algebra
kanaya
0
77
PLT-X2 Lambda
kanaya
0
76
Featured
See All Featured
GraphQLの誤解/rethinking-graphql
sonatard
71
11k
Templates, Plugins, & Blocks: Oh My! Creating the theme that thinks of everything
marktimemedia
31
2.4k
Designing Experiences People Love
moore
142
24k
Making Projects Easy
brettharned
116
6.3k
Typedesign – Prime Four
hannesfritz
42
2.7k
The MySQL Ecosystem @ GitHub 2015
samlambert
251
13k
Save Time (by Creating Custom Rails Generators)
garrettdimon
PRO
31
1.2k
What's in a price? How to price your products and services
michaelherold
246
12k
Mobile First: as difficult as doing things right
swwweet
223
9.7k
JavaScript: Past, Present, and Future - NDC Porto 2020
reverentgeek
48
5.4k
Building Flexible Design Systems
yeseniaperezcruz
328
39k
I Don’t Have Time: Getting Over the Fear to Launch Your Podcast
jcasabona
32
2.3k
Transcript
pineapple.cc ࡚େֶใσʔλՊֶ෦ େֶֶೖ Introduction to University Mathematics
pineapple.cc ߨٛͷਐΊํʢୈճʙୈճʣ Agenda (Day 2 to Day 8) w େֶֶͷೖIntroduction
to University Mathematics ⭐⭐ w ֶΛ͖ʹͳΔStories about math that makes you fun ⭐ w ܭࢉػՊֶʢใՊֶʣͷڮ͠A bridge to computer science ⭐⭐⭐
pineapple.cc ධՁ Credits w ग़੮Attendance w ΫΠζͱϛχϨϙʔτQuiz and mini report
w ϨϙʔτʢҙʣReport (optional)
pineapple.cc ؔfunction
None
None
None
None
None
None
pineapple.cc ߸equal sign
None
pineapple.cc a = b a ≡ b a ≜ b
pineapple.cc ۃݶlimit
pineapple.cc θϊϯͷύϥυοΫε ඈΜͰ͍Δࢭ·͍ͬͯΔ
None
None
None
None
None
pineapple.cc {an } ≜ {a1 , a2 , a3 ,
…}
pineapple.cc lim n→∞ an = l
pineapple.cc ͨͱ͑ʜʜ
pineapple.cc {an } ≜ {1, 1 2 , 1 4
, …}
pineapple.cc {an } ≜ { 1 2n−1 }
pineapple.cc lim n→∞ an = 0
pineapple.cc {an } ≜ {1, − 1 3 , 1
5 , − 1 7 , 1 9 , …}
pineapple.cc {an } ≜ { (−1)n−1 2(n − 1) +
1}
pineapple.cc lim n→∞ an = 0
pineapple.cc sn ≜ n ∑ k=1 ak , n ∈
{1,2,3,…}
pineapple.cc {sn } ≜ {s1 , s2 , s3 ,
…}
pineapple.cc lim n→∞ sn = S
pineapple.cc lim n→∞ n ∑ k=1 ak = S
pineapple.cc ∞ ∑ k=1 ak = S
pineapple.cc ͨͱ͑ʜʜ
pineapple.cc {an } ≜ {1, 1 2 , 1 4
, …}
pineapple.cc {an } ≜ { 1 2n−1 }
pineapple.cc ∞ ∑ k=1 ak = 2
pineapple.cc {an } ≜ {1, − 1 3 , 1
5 , − 1 7 , 1 9 , …}
pineapple.cc {an } ≜ { (−1)n−1 2(n − 1) +
1}
pineapple.cc ∞ ∑ k=1 ak = π 4
pineapple.cc 1 − 1 3 + 1 5 − 1
7 + 1 9 − … = π 4
pineapple.cc lim x→∞ f(x) = l
None
pineapple.cc lim x→a f(x) = l
None
pineapple.cc ͨͱ͑ʜʜ
pineapple.cc f(x) ≜ sin(x) x
pineapple.cc sinc(x) ≜ sin(x) x
pineapple.cc
pineapple.cc ղੳͷੈք
pineapple.cc x2 + 2bx + c = 0
pineapple.cc x = − b ± b2 − c b
> 0, c > 0, b ≫ c What if…
pineapple.cc x = − c b + b2 − c
pineapple.cc @kanaya