2026 Introduction to University Math 07

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 06 (19th May 2026) w ϒʔϧ୅਺ͷผ໊͸ͳʹʁ
   Which is a synonym of Boolean algebra?
   w 1⃣෺ཧ୅਺
   Physical algebra.
   w 2⃣਺ཧ୅਺
   Mathematical algebra.
   w 3⃣࿦ཧ୅਺
   Logical algebra.
   w 4⃣ͦͷଞɾΘ͔Βͳ͍
   Other/Don’t know.
6. pineapple.cc ࣭໰
   ʢ೥݄೔ʣ Question 06 (19th May 2026) w ϒʔϧ୅਺ͷผ໊͸ͳʹʁ
   Which is a synonym of Boolean algebra?
   w 1⃣෺ཧ୅਺
   Physical algebra.
   w 2⃣਺ཧ୅਺
   Mathematical algebra.
   w 3⃣࿦ཧ୅਺
   Logical algebra.
   w 4⃣ͦͷଞɾΘ͔Βͳ͍
   Other/Don’t know.
8. pineapple.cc 1 0 = ?
10. pineapple.cc θϩআࢉ΁ͷରԠ w ϓϩάϥϜΛҟৗऴྃͤ͞Δʢྫ֎Λൃੜͤ͞Δʣ
    w ༗ཧ਺શମɼ࣮਺શମΑΓ΋ʮ޿͍ʯू߹Λ࢖͏
    w *O fi OJUZͱ͍͏஋ʹ͢Δ
    w /B/
    /PU
    B
    /VNCFS ͱ͍͏஋ʹ͢Δ
    w ൚༻తͳ࿮૊ΈΛ࢖͏
11. pineapple.cc ඍ෼
17. pineapple.cc f′  (a) ≜ lim h→0 f(a + h) − f(a) h
19. pineapple.cc f′  (x) ≜ lim h→0 f(x + h) − f(x) h
27. pineapple.cc -JWF
    7JCF
    $PEJOH
29. pineapple.cc
30. pineapple.cc ग़ձ͍ͷ࢒ࠅͳਅ࣮
31. pineapple.cc 🚗 t x v = dx dt
32. pineapple.cc 🎾 ⚽ m1 v m2 p ≜ mv
33. pineapple.cc p ≜ mv F = d dt p
34. pineapple.cc 1 0 = ?
35. pineapple.cc a ∈ ℤ b ∈ ℚ a = user_input b = 1 a
36. pineapple.cc b⋆ ∈ {∅} ∪ ℚ
37. pineapple.cc a ∈ ℤ b⋆ ∈ {∅} ∪ ℚ a = user_input b⋆ = { 1 a where a ≠ 0 ∅ otherwise
38. pineapple.cc Maybe 𝔸 ≜ {∅} ∪ 𝔸
39. pineapple.cc a ∈ ℤ b⋆ ∈ Maybe ℚ a = user_input b⋆ = { 1 a where a ≠ 0 ∅ otherwise
40. pineapple.cc b⋆, c⋆ ∈ Maybe ℚ b⋆ + c⋆ = { b + c where b⋆ ≠ ∅ ∧ c⋆ ≠ ∅ ∅ otherwise Maybe ℚ ℚ
41. pineapple.cc b⋆, c⋆ ∈ Maybe ℚ b⋆ + c⋆ = { Just(b + c) where b⋆ ≠ ∅ ∧ c⋆ ≠ ∅ ∅ otherwise Maybe ℚ
42. pineapple.cc ࣭໰
    ʢ೥݄೔ʣ Question 07 (26th May 2025) w ҐஔΛ࣌ؒͰඍ෼͢ΔͱԿ͕ಘΒΕΔʁ
    
    What do you get when you di ff erentiate position with respect to time?
    w 1⃣ڑ཭
    Distance.
    w 2⃣໘ੵ
    Area.
    w 3⃣଎౓
    Velocity.
    w 4⃣ͦͷଞɾΘ͔Βͳ͍
    Other/Don’t know.