VSFS:BA_Ma_1 Mathematics 1 - Informace o předmětu

BA_Ma_1 Mathematics 1

Rozsah

2/2/0. 16 hodin KS/semestr. 6 kr. Ukončení: zk.
Vyučováno prezenčně.

Vyučující

Ing. Šárka Čížková, Ph.D. (cvičící)

Garance

Ing. Šárka Čížková, Ph.D.
Katedra informatiky a matematiky (FES, KIM) – Katedry – Vysoká škola finanční a správní
Kontaktní osoba: Dita Egertová

Rozvrh seminárních/paralelních skupin

BA_Ma_1/cECPH: Po 17:30–18:14 E307, Po 18:15–19:00 E307, Š. Čížková
BA_Ma_1/pECPH: Po 15:45–16:29 E307, Po 16:30–17:15 E307, Š. Čížková

Předpoklady

There are no prerequisites for this course.

Omezení zápisu do předmětu

Předmět je otevřen studentům libovolného oboru.

Cíle předmětu

Clarification of the terms of linear algebra and their mutual relationships (vector spaces, matrix operations, solutions to the system of linear equations). Presenting the sequence and its limit; function; continuous function and the limit of a function; and elementary functions to the students. Understanding the mathematical operation of a derivative and its main properties; learning to calculate the derivatives of functions; learning the basic theorems in differential calculus.

Výstupy z učení

At the end of the course students will be able to: -solve a linear system by matrices -evaluate limits of functions and limits of sequences -evaluate a derivative of a function -evaluate a limit of function by l'Hospital's rule

Osnova

• 1. Vectors and vector spaces
• 2. Matrices. Matrix rank
• 3. Matrix operations. Inverse matrices
• 4. Determinants. Matrix equations
• 5. Systems of linear equations
• 6. Sequences. Limits of sequences
• 7. Basic functions and their properties
• 8. Function properties. Inverse functions
• 9. Continuity and limits of functions
• 10. Derivatives and their properties
• 11. Derivatives of composite functions
• 12. Applications of derivatives – L’Hospital’s Rule, tangent equations to graphs

Literatura

povinná literatura
• Mathematics for Economics Plný text k dispozici By: Hoy, Michael; Rees, Ray; Stengos, Thanasis; Livernois, John; McKenna, Chris. Edition: 3rd ed. Cambridge, Mass : MIT Press. 2011. eBook.
• Neustupa J.: Mathematics I. Vydavatelství ČVUT, Praha 2004, 2. vydání

doporučená literatura
• Mathematics for economic universities, Jindřich Klůfa, Nikola Kaspříková, Vydavatel: EKOPRESS ISBN: 978-80-87865-01-9, Vyšlo: 2013/10

Výukové metody

Lectures:
• Lecture-based with discussion

Exercises:
• Application of knowledge, skills development
• Enhancement of thinking and practical applications
• Reinforcement of knowledge
• Automation of basic skills
• Understanding principles, not just formulas
• Development of logical and analytical thinking
• Application in economics

Modern Technology-Supported Methods – Motivation, Interactivity:
• Use of AI as a personal math tutor for visualization and interactive learning

Metody hodnocení

The course concludes with a credit and an exam. Credit: Requires a written credit test (minimum 60% success rate) and 75% mandatory attendance. Students with an Individual Study Plan (ISP) are exempt from mandatory attendance. Exam: Written exam (minimum 50% success rate).

Vyučovací jazyk

Angličtina

Navazující předměty

• BA_MaB_2 Mathematics B 2

• Statistika zápisu (nejnovější)
  
• Permalink: https://is.vsfs.cz/predmet/vsfs/zima2025/BA_Ma_1