Week 1 (__time date__)
[Recordings of ...]
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Maybe just about "notation" by content, dive into the following languages including: (notes)... German/Deutsch, French, Japanese, Italian, (below) Swedish,
-- while "comparing" these languages, teach/learn a minimum skillset to be literate of these notations.
(original math, written.. Basic Vocabs, etc.; Cultural Artifacts of Latin Literature of Matheamtics; Case Study--A Book, for example; To gain a deeper understanding of the material I'm working with; Knowing where they come from; "why it's called what it's called," being able to explain the WHY.)
Given a non-empty set \(S\), ...., find the open ball of "some" (rather than "any") element ..
Reading:
Learning to mean for an era of multimodal communications and social diversity (New Learning Online)
Optional Reading:
Lee, K. P. (n.d.) A Guide to Writing Mathematics (unknown source).
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Basics of Math Communication and Literacy: The First Lesson [.pdf]
Reading: Ch. 1, 2 of Daepp & Gorkin
Through Chapters 1 to 17... for which Chapter 12 "Order in the Reals" corresponds to the assumption of the Well-Ordering Principle of \(\mathbb{N}\) and the Principle of Mathematical Induction. |
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Le suédoisReading: Klisinska, A. (2009). The Fundamental Theorem of Calculus: A Case Study into the Didactic Transposition of Proof (doctoral thesis from Luleå University of Technology).
Brehmer, D. et al. (2016) regarding upper-secondary math in Sweden. å/Å means by a single letter "river," and ö/Ö means "island," and also characters ä. Armando Duplantis (athelete).
aouå eiyäö are Swedish vocals
'Kalkyl' is noun; 'Kalkylen' is "THE calculus" and with 's' appended 'KalkylenS' it is genitive "the calculus'"
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Reading: Bourbaki, N. (1957). Théorie Des Ensembles (Éléments De Mathématique).
Diffusion C.C.L.S., Paris.
Abel, N. H. (1826). Mémoire Sur Une Propriété Aénérale D'une Classe Très Étendue de Fonctions Transcendantes (about abelian integrals on the complex plane). $$ \psi(x) ~=~ \int \dfrac{fx . dx}{f_2x \sqrt{R}} $$ où \(R\) est un polynome du cinquième ou sixième degré (Alel wrote on pp. 260). This is also the form $$ \int_0^x~ \dfrac{dt}{~\sqrt{R(t)}~} $$ where \(R(t)\) is a polynomial of degree greater than 4 (hyperelliptic integral). |
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