Oct 18, 2019   11:17 a.m. Lukáš

# Course syllabus B1-M2_C - Mathematics 2 (FCE - SS 2019/2020)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-M2_C
Course unit title: Mathematics 2
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 5

Recommended semester/trimester: Civil Engineering - bachelor (compulsory), 2. semester
Civil Engineering (in english language) - bachelor (compulsory), 2. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
Passing two semestral tests.
Final written test, obtaining at least 56% of points.

Learning outcomes of the course unit:
Semester is divided into three parts. In the first part, students will gain knowledge of integral calculus of functions of one variable, including geometric applications. In the second one, students obtain knowledge of solving the first order differential equations and linear differential equations of higher order. In the third part of the semester, students will gain knowledge of differential calculus of functions of several variables.

Course contents:
- The concept of primitive function, integration by substitution and by parts, partial fractions.
- Definite integral and geometric applications of the definite integral. Calculation of integrals using Taylor series expansion.
- Separable differential equations and first order linear differential equations.
- Linear differential equations of second and higher orders. Solution of differential equations using Taylor series expansion.
- The concept of the region in two-dimensional space, continuity of functions
- Partial derivatives, differentiability, directional derivative, gradient
- Local and global extrema, saddle points.

Basic:
 SALAS, S L. -- HILLE, E. Calculus: One and several variables. New York : Wiley&Sons, 1990. 113 p. ISBN 0-471-61195-6. GHORPADE, S R. -- LIMAYE, B V. A Course in Multivariable Calculus and Analysis. New York : Springer Science-Business Media, 2010. 475 p. ISBN 978-1-4419-1620-4. GILBERT, S. Calculus. New York: Wellesley-Cambridge Press, 1991. 615 p. ISBN 978-0-961-40882-4.

Language of instruction: english or english and slovak

Notes:

Courses evaluation:
Assessed students in total: 38

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Name of lecturer(s): doc. RNDr. Jana Šiagiová, PhD. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english

Last modification: 16. 4. 2019
Supervisor: doc. RNDr. Jana Šiagiová, PhD. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.

 Type of output: PDF output (PDF)Document RTF (RTF)XML format for IS (XML IL)