2026 Introduction to University Math 05

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 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.
6. 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.
7. University of Nevada, Las Vegas Round Earth Clues…
10. pineapple.cc
12. pineapple.cc {an } ≜ {a1 , a2 , a3 , …} a ≜ [a1 , a2 , a3 , …]
13. pineapple.cc lim n→∞ an = l
14. pineapple.cc ͨͱ͑͹ʜʜ
15. pineapple.cc {an } ≜ {1, 1 2 , 1 4 , …}
16. pineapple.cc {an } ≜ { 1 2n−1 }
17. pineapple.cc lim n→∞ an = 0
18. pineapple.cc {an } ≜ {1, − 1 3 , 1 5 , − 1 7 , 1 9 , …}
19. pineapple.cc {an } ≜ { (−1)n−1 2(n − 1) + 1}
20. pineapple.cc ͸͞Έ͏ͪͷݪཧ
    squeeze theorem
24. pineapple.cc ༗໊ͳؔ਺
    some popular functions
33. ڠӫ࢈ۀ
41. pineapple.cc
42. pineapple.cc /ਐ๏
43. pineapple.cc ਐ๏ɾਐ๏ɾਐ๏
44. pineapple.cc ਐ๏
46. pineapple.cc  
47. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺
48. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺ Boolean Algebra and Integral Algebra of Binary System w ϒʔϧ୅਺
    w ˔
    PS
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    w ˔
    PS
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    w ̋
    PS
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    w ̋
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    w ਐ๏ͷ੔਺୅਺
    w 
    
    
    
    
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     ஫ɿor ͷ͜ͱΛ ∨ ΍ | Ͱॻ͘͜ͱ͕͋Δ
49. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺ Boolean Algebra and Integral Algebra of Binary System w ϒʔϧ୅਺
    w ˔
    BOE
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    ˔
    w ˔
    BOE
    ̋
    
    ˔
    w ̋
    BOE
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    w ̋
    BOE
    ̋
    
    ̋
    w ਐ๏ͷ੔਺୅਺
    w 
    º
    
    
    
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    º
    
    
     ஫ɿand ͷ͜ͱΛ ∧ ΍ & Ͱॻ͘͜ͱ͕͋Δ
50. pineapple.cc ϒʔϧ୅਺ͱਐ๏ͷ੔਺୅਺ Boolean Algebra and Integral Algebra of Binary System w ϒʔϧ୅਺
    w OPU
    ˔
    
    ̋
    w OPU
    ̋
    
    ˔
    w OPU
    "
    PS
    #
    
    OPU
    "
    BOE
    OPU
    #
    w OPU
    "
    BOE
    #
    
    OPU
    "
    PS
    OPU
    # ஫ɿnot ͷ͜ͱΛ ¬ ΍ ! Ͱॻ͘͜ͱ͕͋Δ
51. ݁ͼʢJoinʣ ∪ ަΘΓʢMeetʣ ∩ ࿦ཧ࿨ʢOrʣ ∨ ࿦ཧੵʢAndʣ ∧
52. pineapple.cc ϒʔϧ୅਺ͱిؾճ࿏
53. STEAM NEWS
54. STEAM NEWS not
55. STEAM NEWS or
56. STEAM NEWS and
57. pineapple.cc ϒʔϧ୅਺ͱ೔ৗ
58. And
59. Or
60. pineapple.cc ܈ɾ؀ɾଋɾମ
    group, ring, lattice, field
61. pineapple.cc ܈ͱ൒܈ Group and Semigroup w ดੑ
    w ྫɿ ੔਺ ੔਺  ੔਺
    w ྫɿ ੔਺ º ੔਺  ੔਺
    w ݁߹ੑ
    w ྫɿ B C DB C D
    w ྫɿ BºC ºDBº CºD
    w தཱݩʢྵݩɼ୯Ґݩʣͷଘࡏ
    w ྫɿ BB
    w ྫɿºCC
    w ٯݩʢෛݩʣͷଘࡏʬ܈ͷΈʭ
    w ྫɿB B
    w ྫɿCºC
62. pineapple.cc ܈ͱ൒܈ Group and Semigroup w ดੑ
    w ྫɿ ࿦ཧ 㱹 ࿦ཧ  ࿦ཧ
    w ྫɿ ࿦ཧ 㱸 ࿦ཧ  ࿦ཧ
    w ݁߹ੑ
    w ྫɿ B㱹C 㱹DB㱹 C㱹D
    w ྫɿ B㱸C 㱸DB㱸 C㱸D
    w தཱݩʢྵݩɼ୯Ґݩʣͷଘࡏ
    w ྫɿ˔㱹BB
    w ྫɿ˓㱸CC
    w ิ଍ɿิݩͷଘࡏ
    w ™B㱹B˓
    w ™B㱸B˔
63. pineapple.cc ؀ Ring w ดੑʢՃ๏ͱ৐๏ʣ
    w ݁߹ੑʢՃ๏ͱ৐๏ʣ
    w தཱݩͷଘࡏʢՃ๏ͱ৐๏ʣ
    w ٯݩͷଘࡏʢՃ๏ʣ
    w Մ׵ੑʢՃ๏ʣɿB CC B
    w ෼഑ੑɿBº C D BºC BºD
64. pineapple.cc ෼഑ଋ Distributive Lattice w ดੑʢՃ๏ͱ৐๏ʣ
    w ݁߹ੑʢՃ๏ͱ৐๏ʣ
    w தཱݩͷଘࡏʢՃ๏ͱ৐๏ʣ
    w ٯݩͷଘࡏʢՃ๏ʣ
    w Մ׵ੑʢՃ๏ʣ
    w ෼഑ੑɿB㱸 C㱹D B㱸C
    㱹
    B㱸D
65. pineapple.cc ମʢՄ׵ମʣ Field w ดੑʢՃ๏ͱ৐๏ʣ
    w ݁߹ੑʢՃ๏ͱ৐๏ʣ
    w தཱݩͷଘࡏʢՃ๏ͱ৐๏ʣ
    w ٯݩͷଘࡏʢՃ๏ͱ৐๏ɼͨͩ͠Ճ๏தཱݩΛআ͘ʣ
    w Մ׵ੑʢՃ๏ͱ৐๏ʣ
    w ෼഑ੑ
66. pineapple.cc ࣭໰
    ʢ೥݄೔ʣ Question 05 (12nd May 2026) w ܭࢉػՊֶͰΑ͘࢖ΘΕΔͷ͸࣍ͷ͏ͪͲΕʁ
    Which one is the most popular in computer science?
    w 1⃣ਐ๏
    Decimal.
    w 2⃣ਐ๏
    Binary.
    w 3⃣ਐ๏
    Ternary.
    w 4⃣ͦͷଞɾΘ͔Βͳ͍
    Other/Don’t know.