Proof in Specialist Maths - Explaining the Basics

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  • Опубликовано: 6 окт 2023
  • This video introduces the Logic and Proof concepts in VCE Specialist Mathematics (2023 - 2027):
    • conjecture - making a statement to be proved or disproved
    • implications, equivalences and if and only if statements
    • natural deduction and proof techniques: direct proofs using a sequence of direct implications, proof by cases, proof by contradiction, and proof by contrapositive
    • quantifiers ‘for all’ and ‘there exists’, examples and counter-examples
    • proof by mathematical induction.
    Music:
    The Success by Keys of Moon | / keysofmoon
    Music promoted by www.chosic.com/free-music/all/
    Attribution 4.0 International (CC BY 4.0)
    creativecommons.org/licenses/...
    Luke Bergs & Waesto - Take Off | / bergscloud
    Music promoted by www.chosic.com/free-music/all/
    Creative Commons CC BY-SA 3.0
    creativecommons.org/licenses/...
    Warm Memories - Emotional Inspiring Piano by Keys of Moon | / keysofmoon
    Attribution 4.0 International (CC BY 4.0)
    creativecommons.org/licenses/...
    Music promoted by www.chosic.com/free-music/all/

Комментарии • 12

  • @jayceel251
    @jayceel251 3 месяца назад +1

    This was such a nice video, hahaha loved the purple-haired guy. Thank you sir!!

    • @MathsWithMrLim
      @MathsWithMrLim  3 месяца назад

      And thanks to you too @lilydewdrop for your kind words ☺️

  • @bred642
    @bred642 9 месяцев назад +1

    Absolute banger video, I learnt so much about logic and proofs through this. Really consolidated my knowledge. Thank you so much!

  • @raymondchang9481
    @raymondchang9481 9 месяцев назад +2

    W, 10/10

  • @electrovortex7178
    @electrovortex7178 9 месяцев назад +2

    Will we need to know Unit 1/2 content for the 3/4 exam next year?

    • @MathsWithMrLim
      @MathsWithMrLim  9 месяцев назад +1

      Good question Electro Vertex. Unit 3/4 exams usually focus on Unit 3/4 content. Some Unit 1/2 content is also a big part of 3/4, such as complex numbers, vectors, proof. Other concepts such as logic gates, graph theory, combinatorics don't come up again in 3/4 so these are very unlikely to appear on exams.

  • @ttongx9352
    @ttongx9352 9 месяцев назад

    This was a very helpful video on proofs because I'm pretty bad at proofs, can I have help with a math problem when you have time. 🙏♥

    • @MathsWithMrLim
      @MathsWithMrLim  9 месяцев назад

      Always happy to help you TTong X 😉

  • @tompatterson3163
    @tompatterson3163 9 месяцев назад

    🤪 'Promosm'