Mathematics I

Code	Completion	Credits	Range	Language
2011056	Z,ZK	8	4P+4C	Czech

Garant předmětu:

Lecturer:

Jan Halama, Tomáš Neustupa

Tutor:

Jan Halama, Olga Majlingová, Tomáš Neustupa

Supervisor:

Department of Technical Mathematics

Synopsis:

Introduction to linear algebra, analytic geometry of straight lines and planes in E3, calculus of functions of one variable

Requirements:

Syllabus of lectures:

Introduction to linear algebra - vectors, vector spaces, matrices, determinants, systems of linear equations. Analytic geometry in E3 - straight lines and planes. Calculus of functions of one variable - limit, continuity, derivative, extremes, behaviour of a function, indefinite integral, methods of integration, definite integral. Separable differential equations.

Syllabus of tutorials:

Study Objective:

Linear algebra: Vector spaces, Matrices and determinants, Systems of linear algebraic equations, Linear transformations of Euclidean spaces. Eigenvalues, eigevectors of square matrices, Differential calculus: Sequences of real numbers and their limits, Function of one real variable - limits, continuity, derivatives, Higher order derivatives

Study materials:

Neustupa, J.: Mathematics I, CTU Publishing House, Prague, 1996, Finney, R. L., Thomas, G.B.: Calculus, Addison-Wesley, New York, Ontario, Sydney, 1994

Note:

Time-table for winter semester 2023/2024:

	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	roomT4:D1-266 Halama J. 14:15–15:45 (lecture parallel1) Dejvice Posluchárna 266
Tue
Wed	roomT4:D1-266 Halama J. 09:00–10:30 (lecture parallel1) Dejvice Posluchárna 266
Thu	roomT4:C2-436 Majlingová O. 09:00–10:30 (lecture parallel1 parallel nr.101) Dejvice Posluchárna 436 roomT4:C2-436 Majlingová O. 09:00–10:30 (lecture parallel1 parallel nr.102) Dejvice Posluchárna 436
Fri	roomT4:C2-436 Majlingová O. 10:45–12:15 (lecture parallel1 parallel nr.101) Dejvice Posluchárna 436 roomT4:C2-436 Majlingová O. 10:45–12:15 (lecture parallel1 parallel nr.102) Dejvice Posluchárna 436

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans:

10 62 67 00 BTZI 2012 P základ (compulsory course in the program)
11 68 73 00 BTZI 2012 K základ (compulsory course in the program)
02 26 31 34 BSTR EPT 2012 P základ (compulsory course in the program)
03 26 31 36 BSTR IAT 2012 P základ (compulsory course in the program)
04 26 31 38 BSTR KPP 2012 P základ (compulsory course in the program)
06 40 45 48 BSTR EPT 2012 K základ (compulsory course in the program)
07 40 45 50 BSTR IAT 2012 K základ (compulsory course in the program)
08 40 45 52 BSTR KPP 2012 K základ (compulsory course in the program)
05 40 45 46 BSTR TZP 2012 K základ (compulsory course in the program)
16 80 85 00 BVES TVA 2012 P základ (compulsory course in the program)
14 80 85 00 BVES MAT 2012 P základ (compulsory course in the program)
15 80 85 00 BVES OBR 2012 P základ (compulsory course in the program)
13 80 85 00 BVES EKO 2012 P základ (compulsory course in the program)
18 86 90 00 BVES MAT 2012 K základ (compulsory course in the program)
20 86 90 00 BVES TVA 2012 K základ (compulsory course in the program)
19 86 90 00 BVES OBR 2012 K základ (compulsory course in the program)
17 86 90 00 BVES EKO 2012 K základ (compulsory course in the program)
05 40 45 46 DSTR TZP 2012 K základ (compulsory course in the program)
06 40 45 48 DSTR EPT 2012 K základ (compulsory course in the program)
07 40 45 50 DSTR IAT 2012 K základ (compulsory course in the program)
08 40 45 52 DSTR KPP 2012 K základ (compulsory course in the program)
10 62 67 00 DTZI 2012 P základ (compulsory course in the program)
11 68 73 00 DTZI 2012 K základ (compulsory course in the program)
13 80 85 00 DVES 2012 P úvodní studijní plán (compulsory course in the program)
13 80 85 00 DVES EKO 2012 P (compulsory course in the program)
14 80 85 00 DVES MAT 2012 P (compulsory course in the program)
15 80 85 00 DVES OBR 2012 P (compulsory course in the program)
16 80 85 00 DVES TVA 2012 P (compulsory course in the program)
17 86 90 00 DVES 2012 K úvodní studijní plán (compulsory course in the program)
Scénické technologie (compulsory course in the program)