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
Creating an realtime collaboration tool: Agile Flush - .NET Oxford
marcduiker
30
2.1k
The Invisible Side of Design
smashingmag
300
51k
The World Runs on Bad Software
bkeepers
PRO
69
11k
[RailsConf 2023 Opening Keynote] The Magic of Rails
eileencodes
29
9.5k
A designer walks into a library…
pauljervisheath
207
24k
Gamification - CAS2011
davidbonilla
81
5.3k
We Have a Design System, Now What?
morganepeng
53
7.7k
Refactoring Trust on Your Teams (GOTO; Chicago 2020)
rmw
34
3k
Practical Tips for Bootstrapping Information Extraction Pipelines
honnibal
PRO
20
1.3k
Producing Creativity
orderedlist
PRO
346
40k
Git: the NoSQL Database
bkeepers
PRO
430
65k
Building Adaptive Systems
keathley
43
2.6k
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