Θέματα οργάνωσης Εισαγωγή

1. Grammik 'Algebra
Orgˆnwsh & Genikˆ StoiqeÐa
Tm ma Hlektrolìgwn Mhqanik¸n kai Mhqanik¸n Upologist¸n
Panepist mio JessalÐac
22 SeptembrÐou 2014

2. Prìgramma
I Dialèxeic: Kˆje Deutèra, Tetˆrth kai Paraskeu
09.15-10.00
I Frontist rio: Kˆje deÔterh TrÐth 14.00-16.00
I 'Wrec grafeÐou mou: Kˆje Pèmpth 12.00-14.00 me ranteboÔ
I Exetˆseic proìdou: 1/11, 29/11 kai 20/12
I Telik Exètash: Ianouˆrioc 2015
I Epanalhptik Exètash: Septèmbrioc 2015

3. Leptomèreiec
I Testc, Exetˆseic Proìdou, Telik Exètash
I Bajmìc = stajmismènoc mèsoc ìroc twn parapˆnw
I Proswpikì maj matoc:
I Manìlhc Bˆbalhc
I AntwnÐa Nasiˆkou, Nikhfìroc Fˆinti, Gi¸rgoc BeroÔlhc, ...
I IstoselÐda maj matoc: http://ga.inf.uth.gr

4. Binteoskìphsh
I 'Olec oi dialèxeic binteoskopoÔntai kai metadÐdontai zwntanˆ
mèsw tou youtube.
I 'Opoioc/a epijumeÐ mporeÐ na gÐnei sundromht c sto kanˆli
mou patìntac to eikonÐdio eggraf c sthn dieÔjunsh
https://www.youtube.com/MVavalis (apaiteÐ eggraf kai
sto youtube).

5. BiblÐa Shmei¸seic
I Grammik 'Algebra kai Efarmogèc tou G. Strang

6. BiblÐa Shmei¸seic
I Grammik 'Algebra kai Efarmogèc tou G. Strang
I Shmei¸seic maj matoc Grammik c 'Algebrac tou Q.
Kourouni¸th

7. BiblÐa Shmei¸seic
I Grammik 'Algebra kai Efarmogèc tou G. Strang
I Shmei¸seic maj matoc Grammik c 'Algebrac tou Q.
Kourouni¸th
I A First Course in Linear Algebra by R. Beezer

8. BiblÐa Shmei¸seic
I Grammik 'Algebra kai Efarmogèc tou G. Strang
I Shmei¸seic maj matoc Grammik c 'Algebrac tou Q.
Kourouni¸th
I A First Course in Linear Algebra by R. Beezer
I Linear Algebra by Jim Hefferon

9. Sumboulèc
I Allˆxte rizikˆ ton trìpo thc majhmatik c sac skèyhc.

10. Sumboulèc
I Allˆxte rizikˆ ton trìpo thc majhmatik c sac skèyhc.
I Pˆrte thn Grammik 'Algebra se mikrèc, taktikèc dìseic.

11. Sumboulèc
I Allˆxte rizikˆ ton trìpo thc majhmatik c sac skèyhc.
I Pˆrte thn Grammik 'Algebra se mikrèc, taktikèc dìseic.
I Zht ste thn bo jeiˆ mou. Prin tic exetˆseic, ìqi metˆ.

12. Sumboulèc
I Allˆxte rizikˆ ton trìpo thc majhmatik c sac skèyhc.
I Pˆrte thn Grammik 'Algebra se mikrèc, taktikèc dìseic.
I Zht ste thn bo jeiˆ mou. Prin tic exetˆseic, ìqi metˆ.
I SunergasteÐte me sunadèlfouc/fisec sac.

13. Sumboulèc
I Allˆxte rizikˆ ton trìpo thc majhmatik c sac skèyhc.
I Pˆrte thn Grammik 'Algebra se mikrèc, taktikèc dìseic.
I Zht ste thn bo jeiˆ mou. Prin tic exetˆseic, ìqi metˆ.
I SunergasteÐte me sunadèlfouc/fisec sac.
I Axiopoi ste touc/tic bohjoÔc sac.

14. Sumboulèc
I Allˆxte rizikˆ ton trìpo thc majhmatik c sac skèyhc.
I Pˆrte thn Grammik 'Algebra se mikrèc, taktikèc dìseic.
I Zht ste thn bo jeiˆ mou. Prin tic exetˆseic, ìqi metˆ.
I SunergasteÐte me sunadèlfouc/fisec sac.
I Axiopoi ste touc/tic bohjoÔc sac.

15. Kanonec
I H eisodoc sto Amfijèatro metˆ tic 09.15 apagoreÔetai.

16. Kanonec
I H eisodoc sto Amfijèatro metˆ tic 09.15 apagoreÔetai.
I Mhn xenqnˆte ìti eÐste epaggelmatÐec.

17. GiatÐ Grammik 'Algebra?

18. GiatÐ Grammik 'Algebra?
I EÐnai qr simh
I EÐnai ìmorfh
I EÐnai aparaÐthth

19. Ti eÐnai Grammik 'Algebra?

20. Ti eÐnai Grammik 'Algebra? (apì thn BikipaÐdeia)

21. Ti eÐnai Grammik 'Algebra? (apì thn BikipaÐdeia)
H grammik ˆlgebra eÐnai tomèac twn majhmatik¸n kai thc
ˆlgebrac o opoÐoc asqoleÐtai me th melèth dianusmˆtwn,
dianusmatik¸n q¸rwn, grammik¸n apeikonÐsewn kai susthmˆtwn
grammik¸n exis¸sewn. H analutik gewmetrÐa apoteleÐ èkfras
thc kai h Ðdia apoteleÐ kentrikì sundetikì istì twn sÔgqronwn
majhmatik¸n, idiaitèrwc mèsw thc afhrhmènhc ènnoiac tou
dianusmatikoÔ q¸rou h opoÐa mporeÐ na montelopoi sei pollˆ
diaforetikˆ probl mata pou sunant¸ntai sthn prˆxh.

22. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:

23. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b;

24. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f

25. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f
I Gramm stic treÐc diastˆseic:

26. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f
I Gramm stic treÐc diastˆseic:
cy + dx + ez = f ;

27. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f
I Gramm stic treÐc diastˆseic:
cy + dx + ez = f ; a1x1 + a2x2 + a3x3 = f

28. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f
I Gramm stic treÐc diastˆseic:
cy + dx + ez = f ; a1x1 + a2x2 + a3x3 = f
I Gramm stic n diastˆseic:

29. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f
I Gramm stic treÐc diastˆseic:
cy + dx + ez = f ; a1x1 + a2x2 + a3x3 = f
I Gramm stic n diastˆseic:
a1x1 + a2x2 + + anxn = f

30. Ti eÐnai Grammik 'Algebra?

31. Ti eÐnai Grammik 'Algebra?
I Gramm sto epÐpedo:
y = ax + b; cy + dx = f
I Gramm stic treÐc diastˆseic:
cy + dx + ez = f ; a1x1 + a2x2 + a3x3 = f
I Gramm stic n diastˆseic:
a1x1 + a2x2 + + anxn = f

32. Ti eÐnai Grammik 'Algebra?
Grammèc stic n diastˆseic:

33. Ti eÐnai Grammik 'Algebra?
Grammèc stic n diastˆseic:
a1x1 + a2x2 + + anxn = f1
b1x1 + b2x2 + + bnxn = f2
...
Grammèc stic n diastˆseic:

34. Ti eÐnai Grammik 'Algebra?
Grammèc stic n diastˆseic:
a1x1 + a2x2 + + anxn = f1
b1x1 + b2x2 + + bnxn = f2
...
Grammèc stic n diastˆseic:
a1;1x1 + a1;2x2 + + a1;nxn = f1
a2;1x1 + a2;2x2 + + a2;nxn = f2
...
ai;1x1 + ai;2x2 + + ai;nxn = fi
...
an;1x1 + an;2x2 + + an;nxn = fn

35. Ti eÐnai Grammik 'Algebra?
Grammèc stic n diastˆseic:
a1x1 + a2x2 + + anxn = f1
b1x1 + b2x2 + + bnxn = f2
...
Grammèc stic n diastˆseic:
a1;1x1 + a1;2x2 + + a1;nxn = f1
a2;1x1 + a2;2x2 + + a2;nxn = f2
...
an;1x1 + an;2x2 + + an;nxn = fn

36. Ti eÐnai Grammik 'Algebra?

37. Ti eÐnai Grammik 'Algebra?
Grammèc stic n diastˆseic:
a1x1 + a2x2 + + anxn = f1
b1x1 + b2x2 + + bnxn = f2
...
Grammèc stic n diastˆseic:
a1;1x1 + a1;2x2 + + a1;nxn = f1
a2;1x1 + a2;2x2 + + a2;nxn = f2
...
ai;1x1 + ai;2x2 + + ai;nxn = fi
...
an;1x1 + an;2x2 + + an;nxn = fn

38. Grammik 'Algebra eÐnai
kurÐwc h melèth tou parakˆtw sunìlou exis¸sewn:
a1;1x1 + a1;2x2 + + a1;nxn = f1
a2;1x1 + a2;2x2 + + a2;nxn = f2
...
ai;1x1 + ai;2x2 + + ai;nxn = fi
...
am;1x1 + am;2x2 + + am;nxn = fm

39. Grammik 'Algebra eÐnai
kurÐwc h melèth tou parakˆtw sunìlou exis¸sewn:
a1;1x1 + a1;2x2 + + a1;nxn = f1
a2;1x1 + a2;2x2 + + a2;nxn = f2
...
ai;1x1 + ai;2x2 + + ai;nxn = fi
...
am;1x1 + am;2x2 + + am;nxn = fm
To parapˆnw lègetai sÔsthma agebrik¸n grammik¸n exis¸sewn.