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D~ so (10 di~m)1. D~i sa tuy~n tinh

1.1. Khong gian vecto Cac khong gian con, cac ho vecto, khong gian hfru han chieu

1.2. Anh xa tuyen tinh Cac tinh ch~t sa cap, anh - nhan - hang, ma tr~ cua anh xa tuyen tinh

1.3. Dai s6 ma tran Cac phep toan ma tr~, dinh thirc, ma tran ngiroc, h~ phirong trinh

). J.2. Thu gon tv dong cau

2.1. Khong gian con b~t bien Phan ra khong gian, da thirc tir d6ng cftu, dinh ly phan tich nhan

2.2. Cac phan tir rieng Tri rieng - vecto rieng, cheo h6a va irng dung

3. Khong gian Euclide3.1 Khong gian Euclide

Tich vo huang, tinh ch~t true giao, khong gian Euclide, co sa tnrc chuan3.2 Cac tu d6ng cftu

Phep chien, tu d6ng cftu d6i xirng, tu d6ng cftu tnrc giao

GIA.I rtca (20 di~m)1. Tich ph an

1.1. Tich phan tren mQt dean Ham tich phan c~ tren, Cac phirong phap tinh tich phan : Phuong phap d6i bien, phirong phap tichphan tirng phan. Tich phan phu thuoc tham s6 : Dao ham diroi d~u tich phan, tich phan duoid~u tich phan,

1.2. Tich phan tren mot khoang b~t ky Tich phan tren khoang mra mo (tich phan Bertrand, hQi 1\1 don dieu, hQi 1\1ham troi). Tich phan phu thuoc tham s6 : Tinh lien tuc, dao ham.

2. Ham nhi~u bi~n2.1. Dao ham va vi phan

Ham lap Ck

Cue tri cua ham hai bien

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2.2. Tieh phan kep Cong thirc Fubini D6i bien toa dQ cue

3. Chu6i3.1. Chuoi s6 thirc dirong3.2. Chuoi s6 thuc, phirc3.3. Chuoi lily thira

4. Phuong trinh vi ph an4.1. Phuong trinh vi phan cap 1

Phuong trinh bien phan li, phuong trinh dfuIg cap, phuong trinh tuyen tinh,phuong trinh Bernoulli, ...

4.2. Phuong trinh vi phan cap 2 Cac dang quy v~ phirong trinh dp 1, phirong trinh vi phan tuyen tinh dp 2,phirong trinh vi phan tuyen tinh dp 2 h~ s6 hang.

tic SUAT (10 di~m)1. S"ki~n va X3C sut

1.1. Xae su~t Dinh nghia, cac phirong phap tinh xac suk

1.2. Xac su~t co di~u kien Dinh nghia, dinh li nhan xac suat, cong thirc xac su~t d~y du, cong thircBayes.

2. Bi~n ngu nhien2.1. Bin ngftu nhien

Dinh nghia, lu~t phan phoi xac su~t, ham phan ph6i xac su~t, ham mat dQphan phoi, cac tham s6 d~e trung.

2.2. MQt s6 luat phan phoi xac su~t Luat phan ph6i d~u, luat phan ph6i Bernoulli, lu~t phan ph6i nhi thirc, luatphan ph6i chuan.

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