Mathematics I.
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| E011056 | Z,ZK | 8 | 4+4 |
- Lecturer:
- Jiří Neustupa
- Tutor:
- František Mráz, Jiří Neustupa, 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:
-
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 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 Tue Fri Thu Fri - Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans: