- The course cannot be taken simultaneously with:
- Linear Algebra (A0B01LAG)
Lineární algebra (A7B01LAG)
- Lecturer:
- Alena Gollová, Josef Hekrdla
- Tutor:
- Martin Bohata, Miroslav Dont, Monika Drábová, Alena Gollová, Martin Hadrava, Josef Hekrdla, Jiří Hitschfel, Michal Hroch, Externista Hruška, Josef Janák, Externista Kosík, Aleš Němeček, Jakub Opršal, Karel Pospíšil, Jakub Tichý, Zdeňka Tischerová, Externista Vlasák, Martin Žáček
- Supervisor:
- Department of Mathematics
- Synopsis:
-
The course covers standard basics of matrix calculus (determinants, inverse matrix) and linear algebra (basis, dimension,
inner product spaces, linear transformations) including eigenvalues and eigenvectors. Notions are illustrated in applications:
matrices are used when solving systems of linear equations, eigenvalues are used for solving differential equations.
- Requirements:
-
http://math.feld.cvut.cz/vivi/AE0B01LAA2010.pdf
- Syllabus of lectures:
-
1.Systems of linear equations. Gauss elimination method.
2. Linear spaces, linear dependence and independence.
3. Basis, dimension, coordinates of vectors.
4. Rank of a matrix, the Frobenius theorem.
5. Linear mappings. Matrix of a linear mapping.
6. Matrix multiplication, inverse matrix. Determinants.
7.Inner product.Expanding vector w.r.t. orthonormal basis. Fourier basis.
8. Eigenvalues and eigenvectors of matrices and linear mappings.
9. Differential equations. Method of separation of variables.
10. Linear differential equations, homogeneous and non-homogeneous. Variation of parameter.
11.Linear differential equations with constant coefficients. Basis of solutions. Solving
non-homogeneous differential equations.
12.Systems of linear differential equations with constant coefficients. Basis of solutions.Solving non-homogeneous systems.
13.Applications. Numerical aspects.
- Syllabus of tutorials:
-
1.Systems of linear equations. Gauss elimination method.
2. Linear spaces, linear dependence and independence.
3. Basis, dimension, coordinates of vectors.
4. Rank of a matrix, the Frobenius theorem.
5. Linear mappings. Matrix of a linear mapping.
6. Matrix multiplication, inverse matrix. Determinants.
7.Inner product.Expanding vector w.r.t. orthonormal basis. Fourier basis.
8. Eigenvalues and eigenvectors of matrices and linear mappings.
9. Differential equations. Method of separation of variables.
10. Linear differential equations, homogeneous and non-homogeneous. Variation of parameter.
11.Linear differential equations with constant coefficients. Basis of solutions. Solving
non-homogeneous differential equations.
12.Systems of linear differential equations with constant coefficients. Basis of solutions.Solving non-homogeneous systems.
13.Applications. Numerical aspects.
- Study Objective:
- Study materials:
-
1. P. Pták: Introduction to Linear Algebra. ČVUT, Praha, 2005.
2. P. Pták: Introduction to Linear Algebra. ČVUT, Praha, 1997. ftp://math.feld.cvut.cz/pub/krajnik/vyuka/ua/linalgeb.pdf
- Note:
- Time-table for winter semester 2011/2012:
-
|
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
|
Mon
|
roomZ4:B3-215
Hadrava M.
11:00–12:30
ODD WEEK
(lecture parallel2
parallel nr.209)
Zikova ulice
CvicebnaroomZ4:B3-215
Hadrava M.
12:45–14:15
ODD WEEK
(lecture parallel2
parallel nr.211)
Zikova ulice
CvicebnaroomT2:D3-209
Gollová A.
14:30–16:00
ODD WEEK
(lecture parallel1)
Dejvice
PosluchárnaroomT2:D2-256
Gollová A.
16:15–17:45
(lecture parallel2)
Dejvice
Posluchárna
roomZ4:B3-214
Bohata M.
11:00–12:30
ODD WEEK
(lecture parallel2
parallel nr.210)
Zikova ulice
CvicebnaroomZ4:B3-214
Tischerová Z.
12:45–14:15
ODD WEEK
(lecture parallel2
parallel nr.212)
Zikova ulice
CvicebnaroomT2:D3-209
16:15–17:45
(lecture parallel3)
Dejvice
Posluchárna
|
Tue
|
roomZ4:B3-215
Žáček M.
07:30–09:00
(lecture parallel1
parallel nr.103)
Zikova ulice
CvicebnaroomZ4:B3-215
Dont M.
09:15–10:45
(lecture parallel1
parallel nr.101)
Zikova ulice
CvicebnaroomT2:A4-202b
Žáček M.
11:00–12:30
(lecture parallel1
parallel nr.111)
Dejvice
UčebnaroomT2:C2-86
Žáček M.
12:45–14:15
(lecture parallel1
parallel nr.112)
Dejvice
CvičebnaroomT2:E1-103a
Pospíšil K.
14:30–16:00
(lecture parallel1
parallel nr.109)
Dejvice haly
CvičebnaroomT2:E1-103a
Pospíšil K.
16:15–17:45
(lecture parallel1
parallel nr.107)
Dejvice haly
CvičebnaroomZ4:B3-215
Pospíšil K.
18:00–19:30
(lecture parallel1
parallel nr.105)
Zikova ulice
Cvicebna
roomT2:E1-103a
Kosík E.
09:15–10:45
(lecture parallel1
parallel nr.115)
Dejvice haly
CvičebnaroomT2:C4-364
Kosík E.
12:45–14:15
(lecture parallel1
parallel nr.114)
Dejvice
CvicebnaroomZ4:B3-214
Tischerová Z.
14:30–16:00
(lecture parallel1
parallel nr.110)
Zikova ulice
CvicebnaroomZ4:B3-214
Tischerová Z.
16:15–17:45
(lecture parallel1
parallel nr.108)
Zikova ulice
CvicebnaroomZ4:B3-214
Tischerová Z.
18:00–19:30
(lecture parallel1
parallel nr.106)
Zikova ulice
Cvicebna
roomT2:C2-86
Žáček M.
14:30–16:00
(lecture parallel1
parallel nr.113)
Dejvice
CvičebnaroomZ4:B3-220
Opršal J.
16:15–17:45
(lecture parallel2
parallel nr.213)
Zikova ulice
CvicebnaroomZ4:B3-218
Opršal J.
18:00–19:30
(lecture parallel2
parallel nr.219)
Zikova ulice
Poslucharna
roomT2:C4-154
Drábová M.
16:15–17:45
(lecture parallel2
parallel nr.214)
Dejvice
CvičebnaroomT2:C4-154
Drábová M.
18:00–19:30
(lecture parallel2
parallel nr.220)
Dejvice
Cvičebna
roomT2:A4-203b
16:15–17:45
(lecture parallel2
parallel nr.221)
Dejvice
Učebna
|
Fri
|
roomT2:C3-51
Hitschfel J.
07:30–09:00
ODD WEEK
(lecture parallel2
parallel nr.205)
Dejvice
PosluchárnaroomZ4:B3-220
Žáček M.
09:15–10:45
ODD WEEK
(lecture parallel1
parallel nr.103)
Zikova ulice
CvicebnaroomZ4:B3-220
Dont M.
11:00–12:30
ODD WEEK
(lecture parallel1
parallel nr.101)
Zikova ulice
CvicebnaroomT2:A4-202b
Janák J.
12:45–14:15
ODD WEEK
(lecture parallel1
parallel nr.102)
Dejvice
UčebnaroomT2:C4-154
Žáček M.
14:30–16:00
ODD WEEK
(lecture parallel1
parallel nr.113)
Dejvice
CvičebnaroomT2:C4-154
Žáček M.
16:15–17:45
ODD WEEK
(lecture parallel1
parallel nr.112)
Dejvice
Cvičebna
roomT2:A4-202b
Hruška E.
07:30–09:00
ODD WEEK
(lecture parallel2
parallel nr.206)
Dejvice
UčebnaroomT2:C3-51
Hitschfel J.
09:15–10:45
ODD WEEK
(lecture parallel2
parallel nr.207)
Dejvice
PosluchárnaroomT2:A4-202b
Janák J.
11:00–12:30
ODD WEEK
(lecture parallel1
parallel nr.104)
Dejvice
UčebnaroomT2:C4-154
Žáček M.
12:45–14:15
ODD WEEK
(lecture parallel1
parallel nr.111)
Dejvice
CvičebnaroomZ4:B3-220
Hadrava M.
14:30–16:00
(lecture parallel2
parallel nr.211)
Zikova ulice
CvicebnaroomZ4:B3-220
Hadrava M.
16:15–17:45
(lecture parallel2
parallel nr.209)
Zikova ulice
Cvicebna
roomJ5:347b
Vlasák E.
07:30–09:00
ODD WEEK
(lecture parallel2
parallel nr.217)
Dejvice
CvicebnaroomT2:A4-202b
Hruška E.
09:15–10:45
ODD WEEK
(lecture parallel2
parallel nr.208)
Dejvice
UčebnaroomT2:C3-51
Hitschfel J.
11:00–12:30
ODD WEEK
(lecture parallel2
parallel nr.201)
Dejvice
PosluchárnaroomT2:C3-51
Hitschfel J.
12:45–14:15
ODD WEEK
(lecture parallel2
parallel nr.203)
Dejvice
PosluchárnaroomZ4:B3-214
Tischerová Z.
14:30–16:00
(lecture parallel2
parallel nr.212)
Zikova ulice
CvicebnaroomZ4:B3-214
Bohata M.
16:15–17:45
(lecture parallel2
parallel nr.210)
Zikova ulice
Cvicebna
roomZ4:B3-213
Tichý J.
07:30–09:00
ODD WEEK
(lecture parallel2
parallel nr.218)
Zikova ulice
CvičebnaroomJ5:347b
Vlasák E.
09:15–10:45
ODD WEEK
(lecture parallel2
parallel nr.215)
Dejvice
CvicebnaroomZ4:B3-218
Hruška E.
11:00–12:30
ODD WEEK
(lecture parallel2
parallel nr.202)
Zikova ulice
PoslucharnaroomZ4:B3-218
Hruška E.
12:45–14:15
ODD WEEK
(lecture parallel2
parallel nr.204)
Zikova ulice
Poslucharna
roomZ4:B3-213
Tichý J.
09:15–10:45
ODD WEEK
(lecture parallel2
parallel nr.216)
Zikova ulice
CvičebnaroomT2:C2-86
11:00–12:30
ODD WEEK
(lecture parallel1
parallel nr.117)
Dejvice
CvičebnaroomT2:C2-86
Kosík E.
12:45–14:15
ODD WEEK
(lecture parallel1
parallel nr.114)
Dejvice
Cvičebna
roomT2:A4-203a
09:15–10:45
ODD WEEK
(lecture parallel2
parallel nr.221)
Dejvice
Učebna
roomT2:C2-86
Hadrava M.
09:15–10:45
ODD WEEK
(lecture parallel1
parallel nr.116)
Dejvice
Cvičebna
|
Thu
|
roomT2:D2-256
Gollová A.
09:15–10:45
(lecture parallel1)
Dejvice
PosluchárnaroomT2:D3-209
11:00–12:30
(lecture parallel3)
Dejvice
PosluchárnaroomZ4:B3-215
Tischerová Z.
12:45–14:15
ODD WEEK
(lecture parallel1
parallel nr.108)
Zikova ulice
CvicebnaroomT2:A4-203b
Janák J.
14:30–16:00
(lecture parallel1
parallel nr.102)
Dejvice
UčebnaroomT2:A4-203b
Janák J.
16:15–17:45
(lecture parallel1
parallel nr.104)
Dejvice
UčebnaroomT2:A4-202b
Pospíšil K.
18:00–19:30
ODD WEEK
(lecture parallel1
parallel nr.107)
Dejvice
Učebna
roomT2:D3-209
09:15–10:45
(lecture parallel3)
Dejvice
PosluchárnaroomZ4:B3-214
Hitschfel J.
11:00–12:30
(lecture parallel2
parallel nr.207)
Zikova ulice
CvicebnaroomZ4:B3-214
Hitschfel J.
12:45–14:15
(lecture parallel2
parallel nr.205)
Zikova ulice
CvicebnaroomT2:A4-202b
Pospíšil K.
14:30–16:00
ODD WEEK
(lecture parallel1
parallel nr.109)
Dejvice
UčebnaroomT2:A4-202b
Pospíšil K.
16:15–17:45
ODD WEEK
(lecture parallel1
parallel nr.105)
Dejvice
Učebna
roomZ4:B3-220
Hruška E.
11:00–12:30
(lecture parallel2
parallel nr.208)
Zikova ulice
CvicebnaroomZ4:B3-220
Hruška E.
12:45–14:15
(lecture parallel2
parallel nr.206)
Zikova ulice
CvicebnaroomZ4:B3-215
Tischerová Z.
14:30–16:00
ODD WEEK
(lecture parallel1
parallel nr.110)
Zikova ulice
CvicebnaroomZ4:B3-215
Tischerová Z.
16:15–17:45
ODD WEEK
(lecture parallel1
parallel nr.106)
Zikova ulice
Cvicebna
roomZ4:B3-218
Vlasák E.
11:00–12:30
(lecture parallel2
parallel nr.217)
Zikova ulice
PoslucharnaroomZ4:B3-218
Vlasák E.
12:45–14:15
(lecture parallel2
parallel nr.215)
Zikova ulice
PoslucharnaroomZ4:B3-213
Hitschfel J.
14:30–16:00
(lecture parallel2
parallel nr.201)
Zikova ulice
CvičebnaroomZ4:B3-214
Hitschfel J.
16:15–17:45
(lecture parallel2
parallel nr.203)
Zikova ulice
Cvicebna
roomT2:C4-363
Tichý J.
11:00–12:30
(lecture parallel2
parallel nr.218)
Dejvice
CvicebnaroomT2:C4-363
Tichý J.
12:45–14:15
(lecture parallel2
parallel nr.216)
Dejvice
CvicebnaroomZ4:B3-220
Hruška E.
14:30–16:00
(lecture parallel2
parallel nr.202)
Zikova ulice
CvicebnaroomZ4:B3-220
Hruška E.
16:15–17:45
(lecture parallel2
parallel nr.204)
Zikova ulice
Cvicebna
roomT2:C4-364
Kosík E.
16:15–17:45
ODD WEEK
(lecture parallel1
parallel nr.115)
Dejvice
Cvicebna
|
Fri
|
roomJ5:347b
Hadrava M.
07:30–09:00
(lecture parallel1
parallel nr.116)
Dejvice
CvicebnaroomJ5:347b
09:15–10:45
(lecture parallel1
parallel nr.117)
Dejvice
CvicebnaroomT2:D2-256
Gollová A.
12:45–14:15
ODD WEEK
(lecture parallel2)
Dejvice
PosluchárnaroomT2:A4-202b
Opršal J.
14:30–16:00
ODD WEEK
(lecture parallel2
parallel nr.219)
Dejvice
UčebnaroomT2:A4-203a
Opršal J.
16:15–17:45
ODD WEEK
(lecture parallel2
parallel nr.213)
Dejvice
Učebna
roomT2:D3-209
12:45–14:15
(lecture parallel3)
Dejvice
PosluchárnaroomT2:A4-203a
Drábová M.
14:30–16:00
ODD WEEK
(lecture parallel2
parallel nr.220)
Dejvice
UčebnaroomT2:A4-202b
Drábová M.
16:15–17:45
ODD WEEK
(lecture parallel2
parallel nr.214)
Dejvice
Učebna
|
- Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans:
-
