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Matematika (maktab kursi) Udemy 310320103303


3/23/2020

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Natural sonlar. 1-qism

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Lecture 1: Kirish so'zi



Lecture 3: Natural sonlar va amallar tartibi

Lecture 4: Qoldiqsiz bo'linish belgilari



Lecture 5: Tub ko'paytuvchilarga ajratish

Lecture 6: EKUB va EKUK



Lecture 7: Qoldiqli bo'lish



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Natural sonlar. 2-qism

Butun sonlar. 1-qism

Butun sonlar. 2-qism

Oddiy kasrlar. 1-qism

Lecture 9: Natural sonlarga oid misollar

Lecture 10: Qoldiqsiz bo'linish belgilari



Lecture 11: Qoldiqsiz bo'linish belgilariga oid misollar

Lecture 12: Qoldiqli bo'lish



Lecture 13: Qoldiqli bo'lishga oid misollar

Lecture 14: EKUB va EKUKga oid misollar



Lecture 15: Sonning oxirgi raqami

Lecture 16: Oxirgi raqamni topishga oid misollar



Lecture 17: Butun sonlarni qo'shish va ayirish

Lecture 18: Butun sonlarni ko'paytirish va bo'lish



Lecture 19: Butun sonlarni darajaga ko'tarish

Lecture 20: Butun sonlarni taqqoslash



Lecture 22: Butun sonlarga oid misollar

Lecture 23: Bir xil maxrajli kasrlarni qo'shish va ayirish



Lecture 24: Turli maxrajli kasrlarni qo'shish va ayirish

Lecture 25: Kasrlarni qisqartirish





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Oddiy kasrlar. 2-qism

Butun va kasr qismga ega sonlar. 1-qism

Butun va kasr qismga ega sonlar. 2-qism

O'nli kasrlar. 1-qism

Lecture 26: Kasrlarni ko'paytirish

Lecture 27: Kasrlarni bo'lish



Lecture 28: Kasrlarni darajaga ko'tarish

Lecture 29: Kasrlarni taqqoslash



Lecture 31: Oddiy kasrlarga oid misollar. 1-qism

Lecture 32: Oddiy kasrlarga oid misollar. 2-qism



Lecture 33: Oddiy kasrlarga oid misollar. 3-qism

Lecture 34: Qo'shish va ayirish



Lecture 35: Ko'paytirish va bo'lish

Lecture 36: Darajaga ko'tarish



Lecture 37: Butun va kasr qismga ega sonlarga oid misollar

Lecture 39: Butun va kasr qismga ega sonlarga oid misollar



Lecture 40: Qo'shish va ayirish

Lecture 41: Ko'paytirish



Lecture 42: Bo'lish



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O'nli kasrlar. 2-qism

Haqiqiy sonlar. 1-qism

Birhadlar va ko'phadlar. 1-qism

Lecture 43: Darajaga ko'tarish

Lecture 44: Taqqoslash



Lecture 45: O'nli va oddiy kasrlar ustida amallar

Lecture 46: Cheksiz o'nli davriy kasrlar



Lecture 48: O'nli kasrlarga oid misollar

Lecture 49: Cheksiz o'nli davriy kasrlarga oid misollar



Lecture 50: Ratsional sonlar

Lecture 51: Irratsional sonlar



Lecture 52: Haqiqiy sonlar

Lecture 53: Sonning moduli



Lecture 54: Natural ko'rsatkichli daraja

Lecture 55: Birhadlarni ko'paytirish va darajaga ko'tarish



Lecture 56: Birhadlarni qo'shish va ayirish

Lecture 57: Ko'phadlarni qo'shish va ayirish



Lecture 58: Ko'phadlarni ko'paytirish

Lecture 59: Qisqa ko'paytirish formulalari (1)





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Birhadlar va ko'phadlar. 2-qism

Algebraik kasrlar. 1-qism

Lecture 60: Qisqa ko'paytirish formulalari (2)

Lecture 61: Qisqa ko'paytirish formulalari (3)



Lecture 62: Ko'phadlarni ko'paytuvchilarga ajratish. 1-usul

Lecture 63: Ko'phadlarni ko'paytuvchilarga ajratish. 2-usul



Lecture 64: Ko'phadlarni ko'paytuvchilarga ajratish. 3-usul

Lecture 65: Ko'phadlarni ko'paytuvchilarga ajratish. 3-usul (davomi)



Lecture 66: Ko'phadlarni ko'paytuvchilarga ajratish. 4-usul

Lecture 67: Ko'phadlarning standart shakli



Lecture 68: Qisqa ko'paytirish formulalari

Lecture 69: Qisqa ko'paytirish formulalari (davomi)



Lecture 70: Ko'phadlarni ko'paytuvchilarga ajratish

Lecture 71: Ko'phadlarni ko'paytuvchilarga ajratish (davomi)



Lecture 72: Algebraik kasrlarni qisqartirish

Lecture 73: Bir xil maxrajli kasrlarni qo'shish va ayirish



Lecture 74: Turli maxrajli kasrlarni qo'shish va ayirish

Lecture 75: Algebraik kasrlarni qo'shish va ayirishga oid misollar



Lecture 76: Ko'paytirish va bo'lish

Lecture 77: Butun ko'rsatkichli daraja





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Algebraik kasrlar. 2-qism

Kvadrat ildizlar. 1-qism

Lecture 78: Ifodalarni soddalashtirihsga oid 1-misol

Lecture 79: Ifodalarni soddalashtirihsga oid 2-misol



Lecture 80: Ifodalarni soddalashtirihsga oid 3-misol

Lecture 81: Ifodalarni soddalashtirihsga oid 4-misol



Lecture 82: Algebraik kasrlarga oid misollar. 1-4 misollar

Lecture 83: Algebraik kasrlarga oid misollar. 5-9 misollar



Lecture 84: Algebraik kasrlarga oid misollar. 10-13 misollar

Lecture 85: Kvadrat ildizlarga oid formulalar (1)



Lecture 86: Kvadrat ildizlarga oid formulalar (2)

Lecture 87: Ko'paytuvchini ildiz ostidan chiqarish va ildiz ostiga kiritish



Lecture 88: Ildiz qatnashgan ifodalarni qo'shish va ayirish

Lecture 89: Ildiz qatnashgan ifodalarni ko'paytirish



Lecture 90: Qisqa ko'paytirish formulalari yordamida qavslarni ochish

Lecture 91: Qisqa ko'paytirish formulalari yordamida qavslarni ochish (davomi)



Lecture 92: Ildiz qatnashgan ifodalarni ko'paytuvchilarga ajratish

Lecture 93: Ildiz qatnashgan kasrlarni qisqartirish



Lecture 94: Maxrajdagi irratsionallikdan qutulish

Lecture 95: Ildizli sonlarni taqqoslash





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Kvadrat ildizlar. 2-qism

Modul qatnashgan ifodalar. 1-qism

n-darajali ildiz. 1-qism

Ratsional ko'rsatkichli daraja. 1-qism

Lecture 96: Ildiz qatnashgan ifodalarni soddalashtirish. 1-misol

Lecture 97: Ildiz qatnashgan ifodalarni soddalashtirish. 2-misol



Lecture 98: Ildiz qatnashgan ifodalarni soddalashtirish. 3-misol

Lecture 99: Ildizlarga oid formulalar (1)



Lecture 100: Ildizlarga oid formulalar (2)

Lecture 101: Hisoblashga oid misollar



Lecture 102: Ifodalarni soddalashtirish (1)

Lecture 103: Ifodalarni soddalashtirish (2)



Lecture 104: Modulli ifodalar

Lecture 105: n-darajali ildiz



Lecture 106: n-darajali ildiz xossalari (1)

Lecture 107: n-darajali ildiz xossalari (2)



Lecture 108: Ifodalarni shakl almashtirish

Lecture 109: Ratsional ko'rsatkichli daraja



Lecture 110: Ratsional ko'rsatkichli darajaning xossalari



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n-darajali ildiz va ratsional ko'rsatkichli daraja. 2-qism

Chiziqli tenglamalar. 1-qism

Proporsiya. 1-qism

Chiziqli tenglamar va proporsiya. 2-qism

Kvadrat tenglamalar. 1-qism

Lecture 111: Ratsional ko'rsatkichli darajaga oid 2ta misol

Lecture 112: Misollar. 1-qism



Lecture 113: Misollar. 2-qism

Lecture 114: Misollar. 3-qism



Lecture 115: Misollar. 4-qism

Lecture 116: Misollar. 5-qism



Lecture 117: Chiziqli tenglamalar

Lecture 118: Chiziqli tenglamalarga oid 2 misol



Lecture 119: Proporsiya

Lecture 120: Misollar (1)



Lecture 121: Misollar (2)

Lecture 122: Parametrli chiziqli tenglamalarga oid misollar



Lecture 123: Chala kvadrat tenglamalar



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Kvadrat tenglamalar. 2-qism

Ratsional tenglamalar. 1-qism

Rasional tenglamalar. 2-qism

Lecture 124: Diskrimenant

Lecture 125: Kvadrat tenglama ildizlari formulalari



Lecture 126: Viyet teoremasi

Lecture 127: Kvadrat uchhadni chiziqli ko'paytuvchilarga ajratish



Lecture 128: Kvadrat tenglamalarga oid misollar

Lecture 129: Viyet teoremasiga oid misollar



Lecture 130: Parametrli kvadrat tenglamalarga oid misollar (1)

Lecture 131: Parametrli kvadrat tenglamalarga oid misollar (2)



Lecture 132: Parametrli kvadrat tenglamalarga oid misollar (3)

Lecture 133: Ratsional tenglamalar



Lecture 134: Kvadrat tenglamaga keltiriladigan ratsional tenglamalar

Lecture 135: Ko'paytuvchilarga ajratish usuli



Lecture 136: Teng kuchli tenglamalar

Lecture 137: Gra k usul



Lecture 138: Ratsional tenglamalarga oid misollar (1)

Lecture 139: Ratsional tenglamalarga oid misollar (2)





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Modulli tenglamalar. 1-qism

Chiziqli tenglamar sistemasini yechish usullari. 1-qism

Chiziqli tenglamar sistemasini yechish usullari. 2-qism

Ratsional tenglamalar sistemasi. 1-qism

Lecture 140: Hususiy hol (1)

Lecture 141: Hususiy hol (2)



Lecture 142: Hususiy hol (3)

Lecture 143: Hususiy hol (4)



Lecture 144: Umumiy hol

Lecture 145: Belgilash usuli



Lecture 146: O'rniga qo'yish usuli

Lecture 147: Algberaik qo'shish usuli



Lecture 148: Gra k usul

Lecture 149: Gra k usul (davomi)



Lecture 150: Chiziqli tenglamalar sistemasiga oid misollar (1)

Lecture 151: Chiziqli tenglamalar sistemasiga oid misollar (2)



Lecture 152: Kirish

Lecture 153: O'rniga qo'yish usuli



Lecture 154: Qo'shish usuli

Lecture 155: O'zgaruvchilarni almashtirish usuli. 1-misol





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Ratsional tenglamalar sistemasi. 2-qism

Parametrli tenglamalar sistemasi. 1-2-qismlar

Tengsizliklar. 1-qism

Lecture 156: O'zgaruvchilarni almashtirish usuli. 2-misol

Lecture 157: Gra k usul: ikki o'zgaruvchili tenglama gra gi



Lecture 158: Gra k usul: Misollar

Lecture 159: Ratsional tenglamalar sistemasiga oid misollar (1)



Lecture 160: Ratsional tenglamalar sistemasiga oid misollar (2)

Lecture 161: Ratsional tenglamalar sistemasiga oid misollar (3)



Lecture 162: Kirish

Lecture 163: Misollar



Lecture 164: Sonli oraliqlar

Lecture 165: To'plamlar



Lecture 166: Sonli tengsizliklarning xossalari

Lecture 167: Sonli tengsizliklarga oid misollar va ko'p uchraydigan xatolar



Lecture 168: Chiziqli tengsizliklar

Lecture 169: Kvadrat tengsizliklarni yechishning oraliqlar usuli (1)



Lecture 170: Kvadrat tengsizliklarni yechishning oraliqlar usuli (2)

Lecture 171: Kvadrat tengsizliklarni yechishning Gra k usuli





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Tengsizliklar. 2-qism

Modulli tengsizliklar

Arifmetik va geometrik progressiyalar

Lecture 172: Ratsional tengsizliklarni yechishning oraliqlar usuli (qat'iy tengsizliklar)

Lecture 173: Ratsional tengsizliklarni yechishning oraliqlar usuli (noqat'iy tengsizliklar)



Lecture 174: Ratsional tengsizliklar. Kvadrat uchhad qatnashgan tengsizliklarni yechish.

Lecture 175: Teng kuchli tengsizliklar. Teng kuchli almashtirish.



Lecture 176: Teng kuchli tengsizliklarga oid misollar

Lecture 177: Chiziqli tengsizliklarga oid misollar



Lecture 178: Chiziqli tengsizliklar sistemasiga oid misollar

Lecture 179: Oraliqlar usuliga oid misollar (1)



Lecture 180: Oraliqlar usuliga oid misollar (2)

Lecture 181: Tengsizliklarni isbotlash



Lecture 182: Modulli tengsizliklar 1

Lecture 183: Modulli tengsizliklar 2



Lecture 184: Modulli tengsizliklar 3

Lecture 185: Ketma-ketliklar



Lecture 186: Ketma-ketliklarga oid misollar.

Lecture 187: Arifmetik progressiya



Lecture 188: Arifmetik progressiya n-hadi formulasi



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Ko'rsatkichli funksiya, tenglama, tengsizlik

Lecture 189: Arifmetik progressiyaning xossasi



Lecture 190: Arifmetik progressiya dastlabki n ta hadi yig'indisi.

Lecture 191: Geometrik progressiya ta'ri



Lecture 192: Geometrik progressiya n-hadi

Lecture 193: Misollar



Lecture 194: GP xossasi

Lecture 195: GP n ta hadi yig'indisi



Lecture 196: Cheksiz geometrik progressiya

Lecture 197: Ko'rsatkichli funksiya



Lecture 198: Ko'rsatkichli funksiya. Misollar 1-2

Lecture 199: Ko'rsatkichli funksiya. Misollar 3-4



Lecture 200: Sodda ko'rsatkichli tenglamalar

Lecture 201: Ko'rsatkichli tenglamalar. Bir xil asosga keltirish 1-4



Lecture 202: Bir xil asosga keltirish 5

Lecture 203: Yangi noma'lum kiritish usuli



Lecture 204: Ko'rsatkichli tenglamalar sistemasi

Lecture 205: Sodda ko'rsatkichli tengsizliklar



Lecture 206: Ko'rsatkichli tengsizliklar



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Logarifm

Logarifmik tengsizliklar

Lecture 207: Logarifm tushunchasi

Lecture 208: Logarifm tushunchasi



Lecture 209: Logarifmning xossalari 1-2

Lecture 210: Logarifmning xossalari 3



Lecture 211: Logarifmning xossalari. Boshqa asosga o'tish formulasi.

Lecture 212: Logarifmik funksiya, xossalari, gra gi



Lecture 213: Logarifmik funksiyaga doir misollar

Lecture 214: Logarifmik tenglamalar 1



Lecture 215: Logarifmik tenglama. Potensirlash.

Lecture 216: Logarifmik tenglama. Potensirlash (4).



Lecture 217: Logarifmik tenglama. Formulalarning qo'llanilishi.

Lecture 218: Logarifmik tenglama. Yangi noma'lum kiritish.



Lecture 219: Logarifmik tenglama. Boshqa asosga o'tish.

Lecture 220: Logarifmik tenglama. Logarifmlash usuli.



Lecture 221: Logarifmik tenglamalar sistemasi.

Lecture 222: Logarifmdan qutulish 1



Lecture 223: Logarifmdan qutulish 2

Lecture 224: Logarifmik formulalar yordamida tengsizliklar yechish





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Aylana va ko'pburchak

Lecture 225: Logarifm asosida noma'lum qatnashgan hol

Unpublished lecture: Aylanaga ichki chizilgan to'rtburchak



Unpublished lecture: Aylanaga tashqi chizilgan to'rtburchak

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