O'ZBEKISTON RESPI]BLIKASI
OLIY TA'LIM. FAN VA II\NOVATSIYALARVAZIRLIGI
SAMARQAND DAVLAT ARXITEKTT]RA - QURILISH UNIVERSITETI
"KELISHILGAN'
o'quv ishlari
cha
prorektor
M.T
Ro'yxatga
<;f1l> avgust 2024 yil
CHIZIQLIALGEBRA
FANDASTURI
Bilim sohasi:
700 000 - Muhandislik ishlov berish va ourilish sohalari
1
Ta'lim sohasi:
710000 - Muhandislik ishi
720000 - Ishlab chiqarish va ishlov berish sohalari
730000 - Arxitektura va qurilish
Ta'lim yoonalishi:
60710500 - Elektr muhandisligi;
60712300 - Mexanika muhandisligi;
60721500 - Geodeziya va geoinformatika;
60721700 - Kadastr;
60730300 - Qurilish muhandisligi.
Samarqand -2024
Kurs ma'lumotlari
course Inf ormation Form
Modul kodi
Code
MATl03O
Modul turi
Maiburiy
O'quv yili
Semestr
2024-2025
1
ECTS - Kreditlar
1-semestr - 3
Ta'lim tili
AuditoriYa soatlari
O'zbek/rus
Fan nomi
Title
Ma'ruza
Amaliyot
Laboratoriya
Jami vuklama
(soat/hafta)
Lecture
(hour/week)
(soat/hafta)
Practical
(houriweek)
(soat/hafta)
Laboratory
(how/week)
1-semestr - 90
1-semestr - 2
Mustaqil
ta'1im
(soat/trafta)
Independent
Education
(hour/week)
Chiziqli
1-semestr - 4
Linear algebra
Yo'q
Dastlabki shart
None
Semestr
Kuzgi
Semestr
Fall
Kurs tili
O'zbek, Ingliz, Rus
Uzbek. English, Russian
Course lanquaqe
Birinchi kurs
O'quv \ursi
First Cycle
Level ofCourse
Ta'lim yo'nalishlari
60710500 - Elektr muhandisligi;
60712300 Mexanika muhandisligi,
Course type
60721.500 - Geodeziya va geoinformatika;
60721700 Kadastr;
60730300 - Qurilish muhandislisi.
Kurs toifasi
Asosiy
Couse Category
Dars shakli
Mode of Deliverv
Core Courses
Ma'sul kafedra
Ijtimoiy va tabiiy fanlar kafedrasi
An'anaYiy (Yuzma - yuz muloqot)
Face-to-face
DeDartment ofsocial and natural sciences
Owner academic unit
Kursga ma'sul
Kazokboy Mamasoliyev
Cous Coordinator
O'qituvchilar
Mardonov Ba,rodir, Qulmirzayeva Gulrabo, Shodiyev Kamoliddtn,
Instructor(s)
Tuyg'unov Javlonbek, Xudayorov Ulug'bek
Yordamchilar
Asistant(s)
Chiziqli algebraning asosiy tushunchalarini berish, chiziqli algebraning
Fanni o'qitishdan maqsad
texnika va boshqa fanlar bilan a'loqasini tushunttish.
Course objectives
Giving the basic concepts of linear algebra, understanding the relationship
of linear alsebra with eneineerins and other sciences.
Fanning mazmuni
Matdtsalar, determinantlar, chiziqli tenglamalar sistemalari, vektor
fazolar, fazoda skalyar ko'paytma, chiziqli almashtirishlar, xos qiymatlar
Course content
I
Tavsiya qilingan yoki talab
qilinadigan adabiyotlar ro'yxati
va xos vektorlar, oddiy muhandislik masalalariga qo'llanilishi.
Matrices, Determinants, Systems of linear equations, Vector spaces, Inner
product spaces, Linear hansformations, Eigenvalues and eigenvectors,
applications to simple engineering problems.
1. Anton Howard, "Elementary Linear Algebra', 2000
2. Linear Algebra and Solving Problems\Linear Algebra and Solving
Recommended Or Required Reading
Problems (Jpdated Edition), Prof. Dr. A. Gdksel AGARGI]I{,
Assist. Assoc. Dr. Hiilya BURHANZADE, Blsen Publishing House,
Istanbul 20 I 5
3. Linear Algebra Solved Problems", Associate Prolessor Gitsel Yesilot
4. Bemard Kolman, David, R, Hill, "Applied Linear Algebra"
Prof.Dr.Omer Akrn, Palme Pub., 2002 \Applied Linear Algebra.
5. Xurramov Sh.R. Oliy matematika. T.: (Tafakkur), l-jild,
201 8.
6. Xurramov Sh.R. Oliy matematika. Misol va masalalar.
Nazorat topshiriqlari. l- qism, 2- qism. T: Fan va
texnologiyalar, 2015.
7. E.y.CoaroB Onuii uarelrarura. 1- xu,r.q, 3- xuna, T.:
V:6erncron, 1,992, 1996.
8. Akilov J., Jabborov M., Mamasoliyev Q., Safarov R. Chiziqli algebra
va analitik geometriyadan masalalar yechish. O'quv qo'llanma. Toshkent, 2006 y. -150 bet.
9. R. Safarov. Chiziqli algabra va analitik geometriya. O'quv qo'llanma.
Toshkent. Muharrir.2020. - 204 b.
Tavsiya etilgan qo'shimcha dastur
Yo'q\ (bor bolsa yoziladi)
komponentlari
Recommended Optional Program
Components
None
Kursni o'rganish natijalari
2.
3.
4.
5.
Course leaming outcomes
Talabalar asosiy chiziqli algebra tushunchalarini o'rganadilar;
Students learn basic linear algebra concepts.
Talabalar chiziqli algebraik tenglamalar va ularning sistemasini yechishni o'rganadilar.
Students solve systems of linear equations.
Talabalaming analitik fikrlashi rivojlanadi.
Students' analytical thinking structure develops.
Talabalarda matematika va muhandislik kurslari uchun asos yaratiladi.
Students form the basis for mathematics and engineering courses,
Talabalar oddiy muhandislik masalalarini yechishni o'rganadilar.
Students begin solving simple Engineering Problems.
Haftalik mavzular va tegishli tayyorgarlik ishlari
Weeklv Subiects and Related Preparation Studies
MaYzular
Hafta
Week
I
Themes
Matritsalar: matritsaning ta'rifi, matritsalaming turlari, matdtsalar tengligi,
matritsalaming yig'indisi va ayirmasi, skalyaming matritsaga ko'paytmasi,
matritsalar ko'paytmasi va udng xossalari, matritsani transponirlash va uning
Resurslar
Related preparation
1-darslik 1I bob)
xossalaxi.
2.
3.
4.
5.
6.
'7.
8.
9.
Determinantlar: Kvadrat mahitsa determinanti, deteminantning xossalari, Sarrius
qoidasi. Minor va algebraik to'ldiruvchi. Determinantni satr (ustun) elementlari
bo'vicha vovish.
Ba'zi maxsus matritsalar va matritsalaming tatbiqlari: Matritsadagi satrlar va
ustunlar ustida elementar amallar. Satr-pog'onasimon matritsa. Matdtsaning
rangi. Kvadmt matlitsaga teskari matritsa.
Kenga).tirilgan mafitsa: Kengayt ilgan maffitsa, kenga)'tfilgan maffitsa
vordamida teskari manitsani hisoblash.
Chiziqli algebraik tenglamalar. Chiziqli algebraik tenglamalaming yechimlari va
geometrik talqini.
Chiziqli tenglamalar sistemalari: Ekvivalent matritsalar yordamida chiziqli
tenslamalar sistemasini vechish. Chizioli bir iinsli tenslamalar.
Chiziqli tenglanalar sistemaladni yechishning Kramer va matritsa usuli:
Sistemani koeffitsiyentlar matritsasi yordamida yechish.
Veklorlar: Vektoming ta'dfi, vektorlar yig'indisi, ayirmasi, vektorlaming
koordinatalari, analitik ifodasi.
Vektorlaming skalyar ko'pa\4masi va uning xossalari.
1-darslik (I bob)
l-dars'lik (l bob)
1-darslik (II bob)
l-darslik (II bob)
1-darslik (II bob)
l-darslik (IIl bob)
i-darslik (III bob)
1-darsljk (III bob)
or ko'Paytmasi va uning
1-darslik (iV bob)
*k1o-ing amlush kcrpuytmusi: uch veKoming aralash ko'pa1'tmasi va
1-darslik (IV bob)
-.;.o voccalari ikkilansan vektor ko'Daytma va umng xossalan'
ism-fazolar' Vektorlaming
1-darslik (V bob)
osiy teoremalar: O'tish
i
(alrnashttish) koordLatalarini va matritsalarini topish, asosiy teoremqlqr'-
Io, qiymutla, ua xo, u.ktorlar" Kuudtat tlrar
xos qiymatlarini va xos
1-darslik (V bob)
Yordamida kvadrat
1-darslik (VI bob)
teskarisini va darajasini hisoblash
Baholash jaraYoni
Mashg'ulot turi
Activities
Darsga qatnashish
-h
Laboratoriya ishi
Amaliy ish (qo'shirncha vazifa)
Maxsus kurs amalyoti (ish ioyida)
Uyga vazifani baholash
Ijodiy ish (taqdimot)
Loyiha
Proiect
Seminar
Seminar /
Oraliq nazorat
Mid -Tems
Yakuniy nazorat
Final
O'zlashtirish ko' rsatgichi
of in - term studies
Yakuniv imtihon bahosi
Jami
Total
ECTS taqsimoti
ECTS workload table
Topshiriqlar
Activities
Mashg'ulot soati
Cowse hours
Amaliy ish (qo'shimcha Yazifa)
Kurs ishi
Field work
Miiis kurs amatYoti (ish ioYida)
Uyga vazifani baholash
Testlar / Viktorina
Ijodiy ish (taqalimot)
Presentations / semmax
Oraliq nazorat
Mid -ierms (Examination +Examination
Taiirniy nazorat lnazorat Ya nazoratga
trworlanish soati)
tinal (examinatjon +examination prep'
Jami yuklama
Total workload
Jami yuklama / 30 (soat)
Kredit
ECTS credit
Yo'q\ (bor bolsa
Fan dasturi Mirozo Ulug'bek nomidagi Samarqand
davlat Arxitektura-qurilish'universitet
f^*'t*g"rftltitgZOZ+-ylt--i-yfrstdagi-*onlibayonnomasibilanma'qullangan'
Kafeilra mudiri:
f@
A. T. Quldoshev
Tuzuvchilar:
,/{
K. MamasoliYev
,ff'
B. Mardonov
o