IUM-03 Series of Functions

Transcript

1. pineapple.cc ௕࡚େֶ৘ใσʔλՊֶ෦ େֶ਺ֶೖ໳
    Introduction to University Mathematics
2. 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 ⭐⭐⭐
3. pineapple.cc ධՁ Credits w ग़੮
   Attendance
   w ΫΠζͱϛχϨϙʔτ
   Quiz and mini report
   w Ϩϙʔτʢ೚ҙʣ
   Report (optional)
4. pineapple.cc ؔ਺ྻ
   series of functions
5. pineapple.cc fn (x) ≜ xn
6. pineapple.cc f0 (x) = x0 = 1 f1 (x) = x f2 (x) = x2 f3 (x) = x3
7. pineapple.cc lim n→∞ fn (x) = lim n→∞ (xn) = 0 when − 1 < x < 1 1 when x = 1 (NaN) otherwise
8. pineapple.cc ∞ ∑ n=1 fn (x) = ∞ ∑ n=1 (xn) = x 1 − x when − 1 < x < 1 (NaN) otherwise
9. pineapple.cc ͸͞Έ͏ͪͷݪཧ
   squeeze theorem
13. pineapple.cc ༗໊ͳؔ਺
    some popular functions
22. ڠӫ࢈ۀ
28. pineapple.cc ܈ɾ؀ɾମ
    group, ring, field
29. pineapple.cc ܈ͱ൒܈ Group and Semigroup w ดੑ
    w ݁߹ੑ
    w தཱݩͷଘࡏ
    w ٯݩͷଘࡏʢ܈ͷΈʣ
30. pineapple.cc ؀ Ring w ดੑʢՃ๏ͱ৐๏ʣ
    w ݁߹ੑʢՃ๏ͱ৐๏ʣ
    w தཱݩͷଘࡏʢՃ๏ͱ৐๏ʣ
    w ٯݩͷଘࡏʢՃ๏ʣ
    w Մ׵ੑʢՃ๏ʣ
    w ෼഑ੑ
31. 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 ෼഑ੑ
32. pineapple.cc
33. pineapple.cc େֶͷزԿֶ
34. University of Nevada, Las Vegas Round Earth Clues…
37. pineapple.cc
38. pineapple.cc
39. pineapple.cc @kanaya