Course: Mathematical Analysis 1

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Course title Mathematical Analysis 1
Course code KMA/MMAN1
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Andres Jan, prof. RNDr. dr hab. DSc.
  • Fišer Jiří, RNDr. Ph.D.
Course content
1. Number sets, supremum, infimum. 2. Number sequences, monotonicity, limits. 3. Functions and their characteristics, composite and inverse functions. 4. Limits of functions, continuity. 5. Differential calculus: Differentiation, the differential of a function, fundamental theorems, course of a function.

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 65 hours per semester
  • Homework for Teaching - 25 hours per semester
  • Preparation for the Course Credit - 30 hours per semester
Learning outcomes
Understand the mathematical tools of differential calculus of functions of a single variable.
Comprehension Understand the mathematical tools of differential calculus of functions of a single variable.
Prerequisites
Grammar school mathematics.

Assessment methods and criteria
Written exam

Credit: the student has to turn in all pieces of homework and obtain at least 25 (of the possible 60) test points (six short tests during the semester) or at least half of the possible points in the final (long) test.
Recommended literature
  • Brabec J., Martan F., Rozenský Z. (1989). Matematická analýza I. SNTL, Praha.
  • Brabec,J., Hrůza, B. (1989). Matematická analýza II. SNTL, Praha.
  • G. S. Simmons. (2005). Calculus With Analytic Geometry. McGraw-Hill.
  • Jarník V. Diferenciální počet I. libovolné vydání.
  • Jarník V. Integrální počet I. libovolné vydání.
  • Novák V. (1988). Diferenciální počet v R.. UJEP Brno.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester