Mathematics I.
Code  Completion  Credits  Range  Language 

E011056  Z,ZK  8  4P+4C  English 
 Lecturer:
 Tutor:
 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, AddisonWesley, New York, Ontario, Sydney, 1994
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 12 74 79 00 BTZSI 2012 A  prezenční anglicky (compulsory course in the program)
 09 54 59 00 BSTR 2012 A  prezenční anglicky (compulsory course in the program)
 09 54 59 00 DSTR 2012 A  prezenční anglicky (compulsory course in the program)