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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

Mathematics I

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Code Completion Credits Range Language
2011056 Z,ZK 8 4P+4C Czech
Garant předmětu:
Lecturer:
Jan Halama, Tomáš Neustupa, Vladimír Prokop
Tutor:
Jan Halama, Olga Majlingová, Tomáš Neustupa, Vladimír Prokop
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:

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.

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:C2-438
Prokop V.
09:00–10:30
(lecture parallel1
parallel nr.102)

Dejvice
Posluchárna 438
Fri
roomT4:C2-436
Majlingová O.
10:45–12:15
(lecture parallel1
parallel nr.101)

Dejvice
Posluchárna 436
roomT4:C2-438
Prokop V.
10:45–12:15
(lecture parallel1
parallel nr.102)

Dejvice
Posluchárna 438
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-10-01
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet10592702.html