Course: Mathematical Analysis 2

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Course title Mathematical Analysis 2
Course code KMA/MMAN2
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Summer
Number of ECTS credits 6
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. Primitive functions and the indefinite integral, selected techniques of integration. 2. The Riemann integral and its properties. 3. Application in geometry and physics. 4. Improper integrals. 5. Selected methods of solving ordinary differential equations. 6. Number series, criteria of convergence, operations with series.

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 52 hours per semester
  • Preparation for the Course Credit - 30 hours per semester
  • Homework for Teaching - 20 hours per semester
  • Preparation for the Exam - 80 hours per semester
Learning outcomes
Understand the mathematical tools of integral calculus of functions of a single variable.
Comprehension Understand the mathematical tools of integral calculus of functions of a single variable.
Prerequisites
Differential calculus of functions of a single variable.

Assessment methods and criteria
Oral exam, Written exam

Credit: the student has to elaborate 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. Exam: the student has to understand the subject and be able to prove the principal results.
Recommended literature
  • Brabec J., Hrůza B. (1989). Matematická analýza II. SNTL, Praha.
  • Brabec J., Martan F., Rozenský Z. (1989). Matematická analýza I. 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. (2001). Integrální počet v R. MU Brno.


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