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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025
NOTICE: Study plans for the following academic year are available.

Mathematics 2

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Code Completion Credits Range Language
32BE-P-MAT2-01 Z,ZK 6 2P+2C English
Course guarantor:
Tomáš Neustupa
Lecturer:
Tomáš Neustupa
Tutor:
Tomáš Neustupa
Supervisor:
Institute of Economic Studies
Synopsis:
Requirements:
Syllabus of lectures:

Calculus - functions of two or more variables

1) Taylors polynomial, Lagrange form of Remainder, applications.

2) Functions of more variables, domain, graph, isocurves.

3) Partial derivatives, gradient.

4) Tangent plane, total differential, directional derivative.

5) Local extremes of functions of two variables.

6) Absolute (global) extremes of functions of two variables.

7) Constrained extremes, Lagrange multipliers.

Calculus - integration in 2D and 3D

8) Double integral, transformation to polar coordinates.

9) Triple integral, transformation to cylindrical coordinates.

Ordinary Differential Equations and its applications

10) Introduction to ordinary differential equations, separation of variable method.

11) Examples of applications of ODEs, non-separable ODEs, computation by approximation.

Syllabus of tutorials:

Calculus - functions of two or more variables

1) Taylors polynomial, Lagrange form of Remainder, applications.

2) Functions of more variables, domain, graph, isocurves.

3) Partial derivatives, gradient.

4) Tangent plane, total differential, directional derivative.

5) Local extremes of functions of two variables.

6) Absolute (global) extremes of functions of two variables.

7) Constrained extremes, Lagrange multipliers.

Calculus - integration in 2D and 3D

8) Double integral, transformation to polar coordinates.

9) Triple integral, transformation to cylindrical coordinates.

Ordinary Differential Equations and its applications

10) Introduction to ordinary differential equations, separation of variable method.

11) Examples of applications of ODEs, non-separable ODEs, computation by approximation.

Study Objective:
Study materials:
Note:
Time-table for winter semester 2024/2025:
Time-table is not available yet
Time-table for summer semester 2024/2025:
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
roomDEJ:308
Neustupa T.
14:15–15:45
(lecture parallel1)
Dejvice
roomDEJ:308
Neustupa T.
16:00–17:30
(parallel nr.1)
Dejvice
Tue
Wed
Thu
Fri
The course is a part of the following study plans:
Data valid to 2025-05-08
For updated information see http://bilakniha.cvut.cz/en/predmet7861806.html