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Background & Usage
This page lists all [📋57+1 {= 🧮34½+💡13½+1+🔭3+🧪1+🛀2+🥋1+🕹️2}×] PDF files
available for download,
which are listed by subject [🧮M+💡P+🔭A+🧪C+🛀R+🥋T+🕹️G],
ordered by grade and created via the typesetting system
📜TEX/LATEX –
all improved and used a couple of years by several learning groups.
Even though summaries are given in any lecture book,
I had always the feeling that these are lacking in respect of the preparation
for A level / high‑school diploma / Higher School Certificate
and to be more isolated than needed:
for sustainable learning interconnection is of utmost importance,
i.e. having an overview and an understanding for analogue approaches.
As explained in the 📄Disclaimer
all pieces are under copyright.
Nevertheless I grant all pupils / students the right to use
these files
(especially saving, using and distributing them),
as long as they are not changed and are useful
for preparation and learning progress ;-).
I entrust all pupils / students to make summaries
on their own,
as one may quickly see if there are domains
where more engagement is necessary.
Teachers may use them without changes
in current versions
(please look for newer versions
at least 2 times a year)
and use it in class,
I only ask for a note about the usage of one
of these files.
The colors had been chosen in a way that black-and-white print
with good monochrome LASER printers or copying machines
are suitable –
as color prints (even the good ones, i.e. not using ink jet techniques
still not qualifying for robustness against usage or light)
had been expensive in comparison (even though
I switched to color prints for my students
recently, so this may change in near future,
see my 🔧printing equipment)
I just had put effort in carefully chosing colors
with my presentations right from the start
[I did create talks for all main domains
presented here:
Mathematics, Physics, Astronomy, Traditional Taekwon‑Do,
Autogenic Training,
Didactics for Mathematics etc.;
currently I am not planning to put these here
in PDF format;
but one may ask me
about 📢talks].
For prints I would like to ask to always use
double-sided A4 –
that is the intended format.
Though the English
📋PDF Download page
already exists (see flag on the upper right for switching
de <-> en),
a translation of the PDFs is currently
not planned due to time limits.
If this is desired you may send an E-Mail ...
but I can't promise anything right now.
For interest in any PDF I recommend to directly
click the PDFs
(i.e. on the file names or
on the PDF icons)
and view them (e.g. via Firefox
internal viewer),
as their quality is much better.
The small images (in jpg format) should only serve
to quickly identify the document,
which should be useful for those who have got an older version already.
Feedback is highly appreciated and will help to improve and extend
the offerings given here.
Summaries
- Mathematics
➲ [ DorFuchs (Maths Songs)]
- Prime Number and Divider Rules
(2 pp., ✯ New 09/2021 & Extended 05/2023 ✯ 12. May, 2023)
- Fractions
(2 pp., 10. May, 2023)
- Recipe for Fractions
(1 p., 15. March, 2019)
- Calculation of Percentage and Interest
(1 p., 21. March, 2019)
- Graph/Millimetre Paper for Drawing Functions
[DinA4]
(2 pp., 22. Jan., 2023)
- Scientific Calculator Summary:
Casio FX‑991DE X
(4 pp., ✯ New ✯ 05. Mar., 2023, typically since 7th gradeG8
)
[Cf. Casio‑Information
about FX‑991DE X:
Quick Start Guide;
Manual;
Operation and Exercises;
Product Information]
- Graphing Calculator (Gcalc) Summary: Casio FX-CG50 | 20
(2 pp., 11. February, 2023)
- Graphing Calculator (Gcalc) Summary: TI‑83/84 Plus
(1 p., 14. March, 2019)
- Proportionality and Reversed Proportionality
(1 p., ✯ New ✯ 02. Sep.
2022)
- Linear Functions and Equations
(1 p., 08. Aug., 2022)
- Intersection of 2 lines in 2D incl. exercises
(2 pp., ✯ New 05/2023 ✯ 18.06.2023, typically 8. grade)
- Stochastics (secondary Ⅰ level): Basics to theorem of Bayes and Vierfeldertafel
(3 pp., 29. April, 2023)
- Quadratic Functions and
Equations
(2 pp., 03. Sep., 2022)
➲ [ DorFuchs: Quadratic Formula Song]
- Basic mathematical foundation
to enter senior classes:
terminology, formulae, function &
inverse function
(2 pp., 01. September, 2022)
- Exponential Growth and Logarithm
(1 p., ✯ New 11/2022 ✯ 20.11.2022)
- Similarity and Thales'/intercept theorem
(2 pp., 15. March, 2019; basis for
Trigonometry)
- Trigonometry
(2 pp., 24. December, 2022;
basis for Trigonometric Functions)
- Trigonometric Functions
(2 pp., 22. January, 2023; basics for
e.g. Physics: Oscillations and
Waves; see also GTR Summaries)
- Analysis:
Feeling for Polynoms
(2 pp., 19. Oct., 2023)
- Calculus & Analysis:
Sequences and Limits
(2 pp., ✯ New 09/2022 ✯ 15.09.2023, typically
10.|11.G8|G9 grade; Introduction for derivation)
- Analysis:
Differential & Integral Calculus
(5+ pp., ✯ Under Construction 10/2022 ✯ 30.12.2023;
Introduction to Calculus:
Derivation and Integration)
- Analysis:
Types of Derivation incl. Exercises
(3 pp., ✯ New 10/2023 ✯ 30.10.2023;
Introduction to Derivation:
Rules and Exercises)
- Analysis:
Curve Sketching
(2 pp., 30. Sep., 2023)
➲ [ Calculus Rhapsody
(Queen Parody)]
- Analysis:
Examples for Curve Sketching
(3 pp., 30. Sep., 2023)
- Analysis:
description exercise for function determination
(part of an oral graduation examination,
basic course in mathematics)
(2 pp., 31. May, 2019)
- Analysis:
Differential Equation and Growth /
Exponential Function
(2 pp., 25. Feb., 2019)
- Linear Algebra: Stable Distribution & System of Linear Equations
(2 pp., 26. Feb., 2019)
- Linear Algebra:advanced course exam /
high school graduation about Population &
Eigenvalues
(6 pp., 26. Feb., 2019)
- Linear Algebra: Productive Matrix
(2 pp., 26. Feb., 2019)
- Linear Algebra: advanced course exam /
high school graduation about Production Processes & Leontief
(6 pp., 26. Feb., 2019)
- Analytic Geometry (Sek. Ⅱ)
(5 pp., 09. December, 2023)
- Stochastics (secondary Ⅱ level): Basics to Binomial Distribution
(2 pp., 30. April, 2023)
- Overview:
curriculum – concerning topics and rough distribution
(1 p., 01.05.2019,
all classes: 5-12G8+NRW)
➲ [ SCIENCE WARS
(Acapella Parody)]
➲ [ Science STYLE Cover
(Taylor Swift Acapella Parody)]
- List of Operators in Mathematics for forms 11 to 13
(6 pp., ✯ New 02/2023 ✯ 05.03.2023 – typically for forms 10-12|11-13 G8|G9)
- Hints for Self‑Learning: Mathematics & Physics
(1 p., ✯ New 11/2022 ✯ 29.12.2023 – typically for forms 7-12|8-13 G8|G9)
- ...
- Physics
- Magnetism and Magnetic Field
(1 p., 01. February, 2023)
- Mechanics – Dynamic: Forces
(2 pp., ✯ New 05/2023 ✯ 05. May 2023,
typic vectorial calculation in 7th grade)
- Calculations with Formulae and Units
(2 pp., ✯ New 10/2023 ✯ 10. October 2023,
typic systematic calculations in 8th+ grade)
- Electric Current
(1 p., ✯ New 11/2022 ✯ 06. Nov., 2022)
- Elektrostatics
(2 pp., ✯ Soon ✯ ??. ???., 2024 – in prep.)
- Classification of physical domains,
SI units, notation of measured values
(6 pp. [from page 3 onwards
it has the characteristics
of a formulary], 10. May, 2024)
➲ [ acapellascience2:
Massless (2015 Nobel Prize:
Neutrino Discovery)]
➲ [ acapellascience2:
Rolling in the Higgs (Adele Parody)]
➲ [ acapellascience2:
Bohemian Gravity! (leap to
String Theory)]
- Measurement Errors and Error Calculation
(1 p., 23. Feb., 2019)
- Newtonian Mecanics, Kinematics & Energetics,
as well as Gravitation and Circular Motion
(3 pp., 17. March, 2019)
➲ [ acapellascience2:
Defining Gravity (Wicked Parody feat. Dianna Cowern & Malinda Kathleen Reese)]
➲ [ acapellascience2:
For Good (feat. Puppet Einstein & Puppet Newton)]
➲ [ acapellascience2:
Work From Home (Physics Version)]
- Electromagnetic and Gravitational Fields
(1 p., 26. Feb., 2019)
- Oscillations and Waves
(2 pp., 23. Feb., 2023; basics
from Mathematics:
Trigonometric Functions)
- ...
- Uni: Maxwell's Equations
(2 pp., 18. March, 2019)
➲ [ acapellascience2:
The Molecular Shape of You (Ed Sheeran Parody –
if anyone needs a proof for the later statement that chemistry is just
physics)]
- Uni: Nuclear Physics –
Nuclides and Periodic Table of the Elements
(4 pp., 23. May, 2023)
➲ [ AsapSCIENCE:
The NEW Periodic Table Song (Updated)]
- Uni: Theory of General Relativity
(4 pp., 18. March, 2019)
➲ [ acapellascience2:
LIGO Feel That Space (The Weeknd parody)]
- Uni: Cosmology
(3 pp., 18. March, 2019)
➲ [ acapellascience2:
Entropic Time (Backwards Billy Joel
Parody)]
➲ [ acapellascience2:
The Surface Of Light (CMB; Lion King Parody;
Live @ Beakerhead)]
- ...
- Astronomy
- Chemistry
- Biology
As I don't and won't give biology lessons there is no document to share:
but as no one can live without biology :)) and I love
to entertain you – just another piece
for your pleasure:
➲ [ acapellascience2:
More Than Birds (Extreme Parody)]
➲ [ acapellascience2:
Evo-Devo
(abbr. evolutionary development biology;
Despacito Biology Parody)]
➲ [ acapellascience2:
CRISPR-Cas9 (Mr. Sandman Parody –
about genes)]
➲ [ acapellascience2:
The Science of Love
(Queen Parody)]
- Computer Science
Despite being a computer expert myself
but never having officially taught CS,
I nevertheless can't resist to put it
on the list – and maybe someday
documents will follow ...:
➲ [ acapellascience2:
AlphaGo! AlphaGo!
(Congrats to Google DeepMind and AlphaGo
on their historic win!)]
- Autogenic Training /
Stress /
Burnout /
Stress of Students /
Relaxation Techniques
- Traditional Taekwon-Do
- Games
In case of questions / problems with this page or my site
please contact me via:
E-Mail: 📧jmb@jmb-edu.de
© 2013-2024
Please notice my 📄Disclaimer.
[Back to 🏁Start]
This private website is under construction ...
please have understanding
for initial deficiencies.
THX / Merci ❣
First version: | 03rd | July, | 2017 |
Last update: | 10th | May, | 2024 |