Calculus




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                              Calculus - First Notes

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Calculus - First Notes - First Links
Notes
Links

Calculus WP
What are the best calculus books? quora.com
Thomas' Calculus: Multivariable - 13th Edition - George B. Thomas WP
Calculus: Early Transcendentals - 8th Edition - James Stewart WP - What is the difference bt James Stewart's "Calculus" & "Calculus: Early Transcendentals"? Which is better?
What's the difference between early transcendentals and late transcendentals?
Essential Calculus 2nd Edition - Inspiration and Application of Calculus with James Stewart YT
Calculus - 4th edition - Michael Spivak WP
Calculus - Basic Concepts for High School - 1982 by L.V. Tarasov
Best calculus textbook? physicsforums.com

I'm not finding easy to follow Apostol's or Spivak's book on calculus. What should I do? quora.com
Essence of calculus, chapter 1/12 - 3Blue1Brown - YT

tmux - q quit window to open new inside - ctrl+b x kill pane - ctrl+b o switch pane




Books

Calculus Made Easy - Revised, Updated, Expanded Edition by Silvanus P. Thompson, Martin Gardner - 3e 1998 - p336 - Amazon - calculusmadeeasy.org - WP
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides) by Adrian Banner - 1e 2009 - p752 - Amazon
Algebra Cheat Sheet - stat.rice.edu

All The Math Books You’ll Ever Need - mathblog.com




Calculus Made Easy

Calculus Made Easy - Revised, Updated, Expanded Edition by Silvanus P. Thompson, Martin Gardner - 3e 1998 - p336 - Amazon - calculusmadeeasy.org - WP

Vocabularies
abolish - abschaffen, aufheben, beseitigen ... - p39
choke off - abwürgen, ersticken, abschnüren, stoppen - p39
derivative - Derivat (Abkömmling, lat. derivare "ableiten")
flea - Floh (fly - Fliege)
indicated - angedeutet, erkennbar - p40
negligible - vernachlässigbar, geringfügig, unbedeutend, unerheblich, unwesentlich ...
prey - Beute, Opfer, Beutetier - ausbeuten, nachstellen, ausnutzen, berauben, jagen ... (pray - beten, bitten, flehen ...)
slope - Gefälle, Schiefe, Neigung, Steilheit, Schräge ...
tedious - langweilig, ermüdend, öde, lästig, weitschweifig, langwierig, nervtötend, mühsam
witty - witzig, geistreich, launig

Greek letters used as symbols (bracketed not used in this book) - WP
Alpha Α α - Beta (beeta) Β β - Gamma (gemma) Γ γ - Delta Δ δ - Epsilon Ε ε 5 - (Zeta (zeeta) Ζ ζ) -
Eta (eeta) Η η - Theta (theeta) Θ θ - (Iota (ayota) Ι ι) - Kappa (keppa) Κ κ 10 - La(m)bda (lamda) Λ λ - Mu (miu) Μ μ -
(Nu (niu) Ν ν) - Xi (xay) Ξ ξ - (Omicron (omaicron) Ο ο 15) - Pi (pie) Π π - Rho (row) Ρ ρ - Sigma Σ σ -
(Tau (tao) Τ τ) - (Upsilon (yupsailon) Υ υ 20) - Phi (fai) Φ φ - (Chi/Xi (kai/ksai) Χ χ) - (Psi (sai) Ψ ψ) - Omega (omaega) Ω ω 24

Ch 1 - TO DELIVER YOU FROM THE PRELIMINARY TERRORS
p39 - 2 dreadful principal symbols: d (derivative, a little bit of) - and \(\int\) called "the sum of" or "the integral of" --- dx or du means a little bit of x or u (an element of), considered infinitely small - \(\int dx\) means the sum of all of the little bits of x etc. or simply x - integral means "whole" - example: 1 hour = 3600 seconds or pieces, put them together is the whole, again 1 hour - integral symbol only means totalling up all little bits, indicated by symbol which follows

Ch 2 - ON DIFFERENT DEGREES OF SMALLNESS - TO DELIVER YOU FROM THE PRELIMINARY TERRORS


Basic Trigonometry: Sin Cos Tan (NancyPi) - YT - nancypi.com - TW 2.6K
Trigonometry: Solving Right Triangles... How? (NancyPi) - YT
Sine, Cosine, Tangent Trigonometry: Right Triangle Math Explained - YT
Pythagoras Theorem Explained - Mathemagic with Bawa - YT




Geometry

Khan Academy - Geometry
• Lines: segment •-• (starting and end point) --- line <-> (endless in both directions) --- ray •-> (starting point, moves infinitely in one direction) --- lines are one dimensional
• odd (ungerade) - even (gerade) - measure (Maß) - equation (Gleichung) - angle (Winkel) - equilateral (gleichseitig - nicht gleichschenklig! - 3 sides equal length) - isoceles (aisocelees - gleichschenklig - 2 sides equal length) - scalene (ungleichseitig - all angles different length) - coplanar - congruent (rotation - reflection - translation), similar if resizing necessary - Triangle - WP - quadrilateral (Viereck)
• matching arrow labels indicate two parallel sides

• Angles formed by two rays emanating from a vertex: ⊥ right (rechter - perpendicular, &perp; HTML) = 90° --- acute (spitzer) < 90° --- obtuse (stumpfer) > 90° --- straight (gestreckter) = 180° --- 180° < (Überstumpfer) < 360° --- (Nullwinkel) = 0° --- (voller) = 360° --- measure with protractor (Winkelmesser - im Geo-Dreieck integriert) ---
• Measurement: m∠ABC = 60° (m for measurement - &ang; for ∠ HTML) --- w3schools.com
• 3 types of triangles: right (only one angle) - acute (3 angles) - obtuse (only one angle)
• vertical (opposite each other where two lines cross), complementary (sum 90°) and supplementary (sum 180°) angles - adjacent adj (anliegend, anstoßend, angrenzend ...) - parallel AB || CD - transversal - Angles, parallel lines, & transversals - Khan Academy
Right triangle trigonometry review - Khan Academy
Shape WP - mathsisfun.com Geometry




Trigonometry

WP - KHA - is the science of relationships involving lengths and angles of planar right-angled triangles - any non-right-angled triangle (on a flat plane) can be bisected to create two right-angle triangles - using the angle ∠θ (math), φ (ISO standard) or t, originating from the 0 center of the polar coordinate system building a 360° circle ( rad (radian), 180° = π rad etc. - 1 rad = 180/π degrees = just under 57.3°), usually used counterclockwise (ccw) - Trigonometry is part of Precalculus

Khan Academy (KHA)

Trigonometry with right triangles




Notes

C - GNU - Arduino - Math - Electronics - Physics

Heroes - (Creators of) Jesus Buddha Laotse Mohammad Moses




Links

Encyclopedia of Mathematics: Facts on File Science Library - James Tanton - 1e 2005/2018 - p568 - Amazon - WP - James Tanton - YT Channel - jamestanton.com - more books ♡♡♡




Sessions

• Session 1 • Fri 2019-2-8 Auckland 8:45-9:00 WR calculus.html - start ♡♡♡





         

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