2026 Introduction to University Math 02

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 ೔ه
   Journal
4. 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 ⭐⭐⭐
5. 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)
6. pineapple.cc ਺ͷද͠ํ Numerical Systems w ه߸
   w ΠϯυɾΞϥϏΞ਺ࣈʢ
   
   
   ʣ
   w ΞϥϏΞɾΠϯυ਺ࣈʢ١ɼ٢ɼ٣ɼ٤ʣ
   w ϩʔϚ਺ࣈʢ*
   **
   ***
   *7ʣ
   w ׽਺ࣈʢҰɼೋɼࡾɼ࢛ʣ
   w ըઢ๏ʢҰɼஸʜʜਖ਼ʣ
   w ҐऔΓ
   w ਐ਺ɾਐ਺ʢ౦ΞδΞɾϑϥϯε ֵ໋ʣ
   w ਐ਺ɾਐ਺ʢݹ୅ϝιϙλϛΞɾ ݹ୅ΤδϓτɾϤʔϩούʣ
   w ਐ਺ʢೆΞδΞʣ
   w ਐ਺ɾਐ਺ɾਐ਺ɾਐԽਐ਺ ʢқɾίϯϐϡʔλʣ
7. pineapple.cc
9. pineapple.cc ਐ਺
10. Image courtesy of Ricardo Liberato
12. pineapple.cc
13. pineapple.cc
14. Autumn Equinox Spring Equinox Summer solstice Winter solstice Seasons
15. pineapple.cc
16. Image courtesy of Ricardo Liberato Autumn Equinox Spring Equinox Summer solstice Winter solstice Seasons Day 1 Day 360
17. pineapple.cc 1 2 3 4 5 6 7 8 9 10
18. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12
19. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 13 … 25 … 37 … 49 … 60
20. Copyright 2013 by WP, CC BY-SA 3.0
21. pineapple.cc
22. pineapple.cc Luxor Temple Vatican Karnak Temple
23. pineapple.cc Saturn Jupiter Mars Sun Venus Mercury Moon 4,200 1,800 500 480 480 480 1.3 [Light Seconds]
24. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn
25. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven
26. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Sat Jup Mar Sun Ven
27. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat
28. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun
29. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup
30. pineapple.cc 1 2 3 4 5 6 7 8 9 10 11 12 Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup Mar Sun Ven Mer Mn Sat Jup
31. pineapple.cc Mn Mar Mer Jup Ven Sat Sun
32. pineapple.cc Planet Greco/Roman French German Translation Day Moon Selene/Luna Lundi Moon Monday Mars Ares/Mars Mardi Tiwaz Tuesday Mercury Hermes/Mercury Mercredi Wodanaz Wednesday Jupiter Zeus/Jupiter Jeudi (Thor) Thursday Venus Aphrodite/Venus Vendredi Frige Friday Saturn Cronus/Saturn Samedi — Saturday Sun Helios/Sol Dimanche Sun Sunday
33. pineapple.cc ߴߍ਺ֶʢ೥౓ೖֶ͔Βʣ High-school Mathematics ਺ֶI ਺ֶII ਺ֶIII ਺ֶA ਺ֶB ਺ֶC ୅਺ w ਺ͱࣜ w ͍Ζ͍Ζͳࣜ w ਺ྻ زԿ w ਤܗͱܭྔ w ਤܗͱํఔࣜ w ਤܗͷੑ࣭ w ϕΫτϧ
    w ฏ໘্ͷۂઢ
    w ෳૉ਺ฏ໘ ղੳ w ೋ࣍ؔ਺ w ࢦ਺ؔ਺ɾର਺ؔ਺
    w ࡾ֯ؔ਺
    w ඍੵ෼ͷߟ͑ํ w ۃݶ
    w ඍ෼๏
    w ੵ෼๏ ਺ֶجૅ࿦ ֬཰ɾ౷ܭ w σʔλͷ෼ੳ w ৔߹ͷ਺
    w ֬཰ w ౷ܭతͳਪଌ
34. pineapple.cc ؔ਺
    function
41. pineapple.cc ౳߸
    equal sign
43. pineapple.cc a = b a ≜ b a ≡ b
44. pineapple.cc
45. pineapple.cc ௒ؔ਺
    hyperfunction
47. pineapple.cc f ≜ x → x + 1
48. pineapple.cc f ≜ (਺) → (਺)
49. Paul Dirac and Richard Feynman, 1962
51. pineapple.cc δ(x) = { ∞ (x = 0) 0 (x ≠ 0)
54. Ԡ༻਺ֶ ७ਮ਺ֶ ܭࢉػՊֶ ҉߸ ֬཰ ౷ܭ ήʔϜཧ࿦ ܦࡁֶ ੍ޚཧ࿦ ਺஋ղੳ ਺ཧԽֶ ਺ཧੜ෺ֶ ཧ࿦෺ཧֶ ਺࿦ ୅਺ֶ ઢܗ୅਺ ܈࿦ άϥϑཧ࿦ ݍ࿦ ू߹࿦ ਺ֶجૅ࿦ ܭࢉཧ࿦ زԿֶ ղੳֶ ΧΦεཧ࿦ Ґ૬زԿֶ ඍ෼زԿֶ ඍ෼ ੵ෼ ਺ֶͷ஍ਤ
55. pineapple.cc χϡʔεϨλʔ w ຖि༵ۚ೔഑৴ʢϝʔϧͰಧ ͖·͢ʣ
    w Պֶɾ޻ֶɾϦϕϥϧΞʔπʜ
    w ਺ֶͱܳज़ͷ͍͋ͩ
    w Իָ͕ΠϯεύΠΞͨ͠Պֶ
    w θϩ͔Βจ໌Λ࡞Γग़ͤʂ
    w ແྉ
    🔎45&".
    /&84 45&".
    /&84 ϦϯΨʔϋοτ https://bit.ly/steamnews
56. pineapple.cc ࣭໰
    ʢ೥݄೔ʣ👉-"$4 Question 02 (14th April 2026) 👉LACS w ͳͥະ஌਺ΛYͰදݱ͢Δͷʁ
    Why is ‘x’ unknown?
    w 1⃣ΞϥϏΞޠͷʮະ஌ͷ΋ͷʯͷൃԻʹରԠ͢Δจࣈ͕εϖΠϯޠʹແ͔͔ͬͨ Β
    Because there wasn’t corresponding letter in Spanish.
    w 2⃣จষͰ͋·Γ࢖Θͳ͍จࣈ͔ͩΒ
    Because the letter ‘x’ is less popular than average.
    w 3⃣͔͕ͨͪ❌ͱࣅ͍ͯΔ͔Β
    Because the letter ‘x’ looks like a cross.
    w 4⃣ͦͷଞɾΘ͔Βͳ͍
    Other/Don’t know.