Osion kuvaus

  • Lecture journal

    This journal will follow the lectures, and what we covered. We will mention which page numbers were covered from the lecture notes in the Materials section.


    • Week 1

      2.3.2022: Sets
      • Covered Section 1.1
      3.3.2022: Formal logic
      • Covered Section 1.2

      Week 2

      9.3.2022: Proof method
      • Covered Section 1.3
      10.3.2022:  Equivalence relations, partitions, partial orders 
      • Covered last bit of induction and Section 1.4

      Week 3

      16.3.2022:  Functions and cardinalities 
      • Covered Sections 1.5 and 1.6
      17.3.2022:  Enumerative combinatorics: multiplication rule, binomial coefficients
      • Covered Sections 2.1 and 2.2


      Week 4

      23.3.2022:  Enumerative combinatorics: inclusion-exclusion principle
      • Covered Section 2.3

      24.3.2022:  Permutations and groups 
      • Covered Section 2.4


      Week 5

      30.3.2022:  Graph theory: concepts 
      • Covered Sections 3.1, 3.2 and beginning of 3.3

      31.3.2022:  Graph theory: algorithms 
      • Covered rest of Section 3.3 and then all of 3.4


      Week 6

      6.4.2022:  Number theory: Divisibility and Diophantine equations 
      • Covered Sections 4.1 and 4.2

      7.4.2022:  Number theory: Modular arithmetics and Fermat's little theorem 
      • Covered Sections 4.3, 4.4 and discussed briefly 4.5


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