Osnova témat

  • Introduction

    Description of the course

    The course focuses on the core vocabulary of several mathematical disciplines. The list of these topics corresponds to the topics of the Unicert III exam. Students are usually asked to pre-study the relevant vocabulary for each week. Their ability to use it properly is enhanced by various topic-related tasks. The course also aims at the development of students' presentation skills. Students will therefore give presentation several times throughout the semester. The topics of the presentations will be related to the discussed disciplines. One presentation will deal with students' own research (BA Thesis, MA Thesis, ...).

    Distance version of the course

    The course is a combination of your independent work in this Moodle course and online classes.
    Online classes take place each week, on Friday 2 pm, in MS Teams. Please join our team. It is preferrable to have the Teams app downloaded.

    Course requirements
    • Weekly work on the tasks in Moodle
    • Active participation in online classes
    • Presentation of your own work - (a part of) your bachelor's/master's/doctoral thesis

  • Presentation Skills

    • Avoid making these notorious mistakes! 

      Not only for Viki :)

      Optional assignment - highly recommended!!! (to ALL of you)

    • These are the points we constructed together in today's class.

    • If you felt like the indirect questions are not quite natural for you, I highly recommend doing this exercise.

      Optional assignment

  • Presentation of our work

    • By the end of the first week (7 May) hand in the outline of your presentation. It can be in any format. It needs to reflect the structure of your presentation, show that you know what you will present and in what order. 

      Bad example: "1. introduction,  2. main idea,  3. examples, 4. conclusions"

      Better: 1. introduction: defining a polycrystal, its main properties; 2. connection to stochastics; 3. goal of my thesis: to simulate possible distributions ...

      The numbers correspond to sections, not necessarily to individual slides.

    • This is where you upload your video talk.

  • Aritmetic, Number Theory

    • Go through this quiz when asked to do so in the worksheet from the above assignment.

    • Extra practice of what we have done in class today. Includes one bonus - an integral!
      Optional assignment.

    • This is a list of basic vocabulary from Arithmetic and Number Theory. You should know all of these words. If you don't, or simply are not sure, look at their definitions.

    • Spoiler alert - this is the mathematics behind the "magic trick" we did today in class.

      (Beiler, A. H. (1996). Recreations in the theory of numbers: The queen of mathematics entertains. Dover Publications.)
  • Algebra

    • This dictionary was created by your fellow students mathematicians. It comprises what you should be mostly already familiar with from our winter semester.

  • Geometry

    • Look at how your colleagues dealt with the proof from Task 2. I think it is extremely inspiring to see others' work, and be able to compare their approach to yours.

      The proofs contain my corrections marked in yellow or orange.

      The proofs are included anonymously on purpose. If you would like me to write your name with the proof just let me know.

    • This is a visual answer to the optional body parts question above.

    • Basic vocabulary from Geometry for the Unicert exam.

  • Analysis

    • In Task 3 please include a list of properties of the functions. 
      Example:

      • the domain of f is R
      • f is continuous on (0,1)
      • the x-intercepts of f are [0,2] and [0,5]

      Upload is possible in any format, including scans of your work (although pdf and doc files are preferred).

    • A few key prepositions and terms connected to functions.

  • Graph Theory

  • Set Theory, Logic

  • Combinatorics, probability, statistics

  • Miscellaneous

    • These are the most frequent collocates for the common nouns in mathematics. 

      Your suggestions were incorporated where possible.

  • Pronunciation

    • If you ever wondered how the letter <a> can be pronounced in English, take this quick quiz!

      OPTIONAL TASK 

      For students like Lucie, with ♥.

    • The quiz presents the most frequent pronunciations. For a summary and the complete picture of how the letter <a> can be pronounced see these two pages form Wells's pronunciation dictionary (2007, pp. 1,2). 

      In your own interest, look only once you have completed the quiz 'A', or in case you are not planning on doing it.

      Wells, J. C. (2007). Longman pronunciation dictionary (New ed., 9. impr). Longman.
    • The file we worked with in today's class.

      Based on Wells, J. C. (2006). English intonation: An introduction. Cambridge University Press.

      Exercises and audio ibid.

  • Sources

  • UNICERT

    • Obecné informace o zkoušce.

    • Výňatek ze zkušebního řádu s popisem zkoušky.

      (celý řád je k nalezení na stránkách MFF - zde)

      Zkouška se skládá ze dvou částí, písemné a ústní. Tyto dvě části se konají ve dvou různých dnech, ústní zkouška týden po písemné. Pouze studenti s dostatečným počtem bodů z písemné části zkoušky jsou připuštěni ke zkoušce ústní.

    • Část "Reading" má úkoly k jednotlivým textům zadané jak v "assignment sheet" tak v "answer sheet".

    • This is the key to the examples of the tests. 

      If you want to try the writing part as well, feel free to send it to me via e-mail. Only please respect that during summer I will reply with some delay.

  • UNICERT Extensions

    • These represent the basic vocabulary from the seven fields that is necessary for the exam. These can appear in the Reading test (definitions), but also in the oral part of the exam. 

      These documents are only lists, without definitions. For translations and definitions use the Czech-English vocabulary lists or/and dictionaries listed in the sources.

      Note: The file 'EVERYTHING' contains all of the lists together in one document. If you wish to download them separately, you can do so below.

    • A little thing worth noticing.

      (Practice for Grammar and Lexis, part G)

    • The roles of to-infinitive in mathematical texts.

    • A few collocations of nouns and verbs, i.e. which verb goes with which noun.