2026 Introduction to University Math 04

Transcript

1. pineapple.cc ௕࡚େֶ৘ใσʔλՊֶ෦ େֶ਺ֶೖ໳
    Introduction to University Mathematics
2. pineapple.cc How to take notes w ܗࣜΛܾΊΔ
   w ݟग़͠Λ͚ͭΔ
   w ϖʔδʹςʔϚ
   w Օ৚ॻ͖ʹ͢Δ
   w ༨നΛ࢒͢ ϊʔτͷऔΓํ Life Hacker
3. pineapple.cc ߨٛͷਐΊํʢୈճʙୈճʣ Agenda (Day 2 to Day 8) w େֶ਺ֶ΁ͷೖ໳
   Introduction to University Mathematics ⭐⭐
   w ਺ֶΛ޷͖ʹͳΔ࿩
   Stories about math that makes you fun ⭐
   w ܭࢉػՊֶʢ৘ใՊֶʣ΁ͷڮ౉͠
   A bridge to computer science ⭐⭐⭐
4. pineapple.cc ධՁ Credits w ग़੮
   Attendance
   w ΫΠζͱϛχϨϙʔτ
   Quiz and mini report
   w Ϩϙʔτʢ೚ҙʣ
   Report (optional) w ఺ʢ2ʣ఺ʢ2ʣ
   50 points (Q1) + 50 points (Q2)
5. pineapple.cc ࣭໰
   ʢ೥݄೔ʣ Question 03 (21st April 2026) w ϑΟϘφον਺ͷྡ઀߲ͷ঎ͷۃݶ͸ʁ
   What is the limit of consecutive quotations of the Fibonacci sequence?
   w 1⃣ԫۚൺ
   ʜ
   Golden ratio.
   w 2⃣നۜൺ
   ʜ
   Silver ratio.
   w 3⃣੨ಔൺ
   ʜ
   Bronze ratio.
   w 4⃣ͦͷଞɾΘ͔Βͳ͍
   Other/Don’t know.
6. pineapple.cc ࣭໰
   ʢ೥݄೔ʣ Question 03 (21st April 2026) w ϑΟϘφον਺ͷྡ઀߲ͷ঎ͷۃݶ͸ʁ
   What is the limit of consecutive quotations of the Fibonacci sequence?
   w 1⃣ԫۚൺ
   ʜ
   Golden ratio.
   w 2⃣നۜൺ
   ʜ
   Silver ratio.
   w 3⃣੨ಔൺ
   ʜ
   Bronze ratio.
   w 4⃣ͦͷଞɾΘ͔Βͳ͍
   Other/Don’t know.
7. pineapple.cc ؔ਺
   function
12. pineapple.cc ϑΟϘφον਺ྻ f0 ≜ 1 f1 ≜ 1 fn ≜ fn−1 + fn−2 where n ≥ 2
13. pineapple.cc ϑΟϘφον਺ྻ fn = ϕn − (−ϕ)−n 5 where ϕ ≜ 1 + 5 2
14. pineapple.cc ؔ਺ྻ
    series of functions
15. pineapple.cc fn (x) ≜ xn
16. pineapple.cc f0 (x) = x0 = 1 f1 (x) = x f2 (x) = x2 f3 (x) = x3
17. pineapple.cc lim n→∞ fn (x) = lim n→∞ (xn) = 0 where − 1 < x < 1 1 where x = 1 (NaN) otherwise
18. pineapple.cc ∞ ∑ n=1 fn (x) = ∞ ∑ n=1 (xn) = x 1 − x where − 1 < x < 1 (NaN) otherwise
19. pineapple.cc ͸͞Έ͏ͪͷݪཧ
    squeeze theorem
22. pineapple.cc
23. pineapple.cc ૉ਺ Prime numbers w Ҏ্ͷࣗવ਺Ͱɼਖ਼ͷ໿਺͕ͱͦͷ਺ࣗ਎ͷΈͰ͋Δ΋ͷͷ͜ͱ
    w ΑΓେ͖͍ૉ਺͸Oœ
    w O 
    w O  ۮ਺
    w O  ͷഒ਺
    w O  ۮ਺ʣ
    w O  O   ஫ɿ͢΂ͯͷOœ͕
    ૉ਺ͱ͸ݶΒͳ͍
25. Mariordo ΞϨγϘఱจ୆
26. pineapple.cc େֶͷزԿֶ
27. University of Nevada, Las Vegas Round Earth Clues…
30. pineapple.cc
31. pineapple.cc ࣭໰
    ʢ೥݄೔ʣ Question 04 (28th April 2026) w υʔφπ͸਺ֶతʹͳΜͱ͍͏ܗʁ
    What is the mathematical name of donuts?
    w 1⃣υʔφπ
    Donuts.
    w 2⃣τʔϥε
    Torus.
    w 3⃣ίʔϥε
    Chorus.
    w 4⃣ͦͷଞɾΘ͔Βͳ͍
    Other/Don’t know.