Appetizers and Lessons for Mathematics and Reason (www.whyslopes.com)
a calculus, preparation for calculus and math ed reform website

Online Volumes ( Book Orders)
1,  Elements of Reason.
1A. Pattern Based Reason 
1B. Math Curriculum Notes
2. Three Skills for Algebra
3. Why Slopes & More Math

Mathematics Course Designers: LAMP offers food for thought.
More Site Areas 
1. Help Your Child or Teen Learn 
2. Solving Linear Equations
3. Fractions Ratios Rates Proportions & Units
4. Euclidean Geometry
5. Analytic Geometry/Functions 
6. Number Theory
7. More Calculus
More Site Areas 
8. Complex Numbers 
9. Qc Maths  Education  
10. Secondary IV(?) maths
11. Real  Analysis 
12. LaTeX2HotEqn:
13. Electric Circuits Etc  
14.  Français
15. Algebra, Odds & Ends, Etc
More Site Areas 
16. Math Education Essays
17. Telling & Working with Time
18. Maps, Plans & Drawings
19. Quantitative Skills for  home, shopping and work 
20. Statistics Useful, or Not.

Test the
Twiddla Whiteboard

||Definition d'une variable || Algèbre || Arithmetique || Logique ||La raison basée sur les règles et modelés||
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YOU are better than YOU think. Show yourself  how:  

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Read  logic chapters 1 to 5  in online volume Three Skills for Algebra  for greater skills & confidence in  work 
and study. 

Learn to read notes and textbooks like a lawyer, so that no nuance, no subtlety and no clause escapes your attention.

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 Logic chapters 1 to 5  re- appear not in sequence, as is or longer,  in  Volume 1A,  Pattern Based Reason, Bon Appetite.

Logic Mastery
 Amazing, Amusing, Amorous,  Delicious, Delightful, Edifying, Strengthening Elixir. 
It eases work & learning difficulties Makes the hard easier. Opens eyes. Leads to greater precision.
in reading and
writing

Logic mastery makes the hard, easier. Logic mastery  leads to better, stronger and richer comprehension.  Logic mastery  improves reading and writing.  Logic mastery ease learning difficulties.  Logic mastery gives a headstart.  In sum, logic mastery  will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.


After logic  (a) continue reading Three Skills for Algebra, chapters 8 to 14  and do so alongside site area on solving liinear Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes  & More Math, chapters 2 to 6;

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Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought

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What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.


Try the Twiddla Whiteboard. In principle, it  allows to people to draw and chat together online on a copy of this webpage or a clean sheet. The chat may be via text or audio.  Visit www.twiddla.com to set up whiteboards to work with the webpage of your choice.

For online automated help in senior high school maths & calculus, visit  quickmath.com  For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com  With  overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck.

Optional

Electromotive Force (EMF) and Convention Current Flow

Current flow in electric circuits is explained by the presence of an electromotive force (batteries, power supplies) which drives charge particles (electrons) along wires and through other circuit elements. Conventional current is the direction that positive particles (charges) would flow along a wire if they could move along a wire, and that is opposite to the direction of negative particles (electrons) movement.

We explain the movement of current (usually made of electrons) through wires and circuit elements by the presence of a voltage difference across the terminals of a energy supply (source).  

Assumption: There is a voltage difference between the terminals of a circuit element (resistor or light bulb perhaps) and between the terminals of a power supply (a box plugged into the wall or a battery) which drives charges particles (electrons) around a circuit through one or several paths. 

Voltage Difference between the battery terminals and direction of current flow.
But the negative charges (electrons) are moving in the wire - positive charges are not moving.


The direction in which positive charges would move along a wire (if they could move) is gives the direction of conventional current flow.   Franklin and others in exploring electricity thought that electricity was a fluid with positive and (?) negative particles that moved through wires. Only later did researchers discover that positive charges did not move through wires but negative wires did. But the convention for describing current flow was set and (presumably) in use. So the convention stayed. But as a student you have to remember that only negative charges on electrons flow through wires and do so in the direction opposite to that of the conventional (positive particle) flow.

 

 

www.whyslopes.com
Electric Circuits Notes, Ad hoc 

More on Electricity
Circuit Elements
EMF - Voltage I
EMF - Voltage II
Kirchoff's First Law
Kirchoff's 2nd Law
Series Circuit I
Series Circuit II
Series Circuit III
Series Circuit IV
Resistors in Parallel I
Resistors in Parallel II
Wire Resistance I
Wire Resistant II
Wire Resistant Math I
Wire Resistance Math II
Wire Resistant Math III
Wire Resistant Math IV
Conductance I
Conductance II
Energy Power I
Energy Power II
Energy Power III
Energy Power IV
Energy Power V
Energy Power VI (Heat)
Energy Power VII (Heat)
Energy Power VIII (Heat)
Energy Power IX (Heat)
Problem Checklist I
Problem Checklist II

Problems

Sit down and study -

 



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