2020 Math Skills Seminar

Weekly outline

• Select week General

  General

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  This is the webpage of the English version of the course taught by Andreas Feldmann, which takes place on Mondays at 14:00 to 15:30. Please only register for this course and sign up for the zoom sessions below if you are registered for the English version of the Mathematical Skills seminar held by Andreas Feldmann in SIS (see link below).

  • Select activity zoom registration link

    

    zoom registration link URL

    Please register for the zoom sessions via this link before the first lecture.

    Once you registered you will obtain a confirmation email. The email contains your personal link to the zoom sessions and the passcode. You need to use this link to participate in the lectures.

    Not available unless: Your Email address is not empty
  • Select activity Course website in SIS

    

    Course website in SIS URL
  • Select activity Announcements

    

    Announcements Forum

    News and announcements by the teacher

  • Select activity Q&A

    

    Q&A Forum

    Questions by the students will be answered by the teacher (or other students)

    Not available unless: Your Email address is not empty
• Select week Oct 5

  Oct 5

  propositions, negation, conjunction, disjunction, exclusive or, conditional, logical equivalence

  • Select activity Quiz 1

    

    Quiz 1

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Oct 12

  Oct 12

  different ways how to express implication in English, converse, inverse, contrapositive, biconditional, proving equivalence, De Morgan laws, propositional functions

  • Select activity Quiz 2

    

    Quiz 2

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Oct 19

  Oct 19

  proof by contrapositive, universal and existential quantification, bound and free variables, scope of a quantification

  • Select activity Quiz 3

    

    Quiz 3

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Oct 26

  Oct 26

  composing quantified propositions, nested quantification, scope of a quantifier, unique quantification, De Morgan laws for quantification

  • Select activity Quiz 4

    

    Quiz 4

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Nov 2

  Nov 2

  translating mathematical statements into quantified propositions, repetition: expressing restrictions on the domain using propositions

  • Select activity Quiz 5

    

    Quiz 5

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Nov 9

  Nov 9

  Terminology: theorem, lemma, corollary, conjecture, axiom; direct proof and indirect proof by contrapositive of implications

  • Select activity Quiz 6

    

    Quiz 6

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Nov 16

  Nov 16

  proof by contradiction, proof of equivalence, exhaustive proof, proof by cases, without loss of generality

  • Select activity Quiz 7

    

    Quiz 7

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Nov 23

  Nov 23

  Cantor's Theorem (proof by contradiction), the Four Colour Theorem (exhaustive proof)

  • Select activity Quiz 8

    

    Quiz 8

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Nov 30

  Nov 30

  without loss of generality, constructive and non-constructive existence proofs (winning strategy for Chomp), pigeonhole principle

  • Select activity Quiz 9

    

    Quiz 9

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Dec 7

  Dec 7

  generalized pigeonhole principle and applications

  • Select activity Quiz 10

    

    Quiz 10

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Dec 14

  Dec 14

  Erdös-Szekeres theorem, Ramsey theorem, induction

  • Select activity Quiz 11

    

    Quiz 11

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Dec 21

  Dec 21

  wrong induction "proofs", strong induction

  • Select activity Quiz 12

    

    Quiz 12

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Jan 4

  Jan 4

  fundamental theorem of arithmetic, Fibonacci numbers, proof by picture

  • Select activity Quiz 13

    

    Quiz 13

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty
  • Select activity Recording of lecture

    

    Recording of lecture URL
• Select week Jan 11

  Jan 11
  • Select activity Quiz 14

    

    Quiz 14

    Note: you win points by answering correctly, but you can also lose points by answering incorrectly (your total points will never be below 0). This means that if you are unsure, you are better off not answering instead of guessing.

    Not available unless: Your Email address is not empty