www.whyslopes.com   << Français :  20 pages >>    
Appetizers and Lessons for Mathematics and Reason
  online logic chapters  - the best starting point for further site exploration.  Bon Appetite.

Electric Circuits, Energy, Heat and Power
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DC Electric  Circuits 
Basic Concepts
 
Electric Circuits, Energy, Heat and Power

Electric Circuits, Energy, Heat and Power

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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)

 

 

Here are some notes for the Electricity Module of PQ Physical Science 416-436, a deposit for further site expansion after the completion of the mathematics and logic portion of this site.

Module II of physical science 416-436 uses first, second and third year high school mathematics. Site pages cover more mathematics than is normal in a Quebec physical science.  But I had took some pleasure in making and describing connections between different ideas in the course - that in writing more than I had too.

The word OPTIONAL appears at the top of lessons that provides this enriched material. That being said, if you can follow them, the extra information in them should not hurt, save for the time it takes to digest it.  Bon Appetit.

 

 

 

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Professor Whyslopes:

  • Site value lies in the difference between its ideas and yours.  

  • If one site explanation is not to your liking, try another. Each one is different.

Two gaps

  • The Old Algebra Gap:  Algebra  appears with too few words of explanation in high school and college mathematics.  Online Volumes 2 and 3 offer remedies.   Chapters 8 to 12 in Volume 2  put more words into the explanation and comprehension of algebra.  Chapter 14 in Volume 2 with its explicit discussion of the direct and indirect use a formulas identifies a unifying theme for mathematics and logic - all rules and patterns will be used forward and backwards. Chapters 2 to 6 and 12 to 18 in Volume 3 may further ease or avoid the very challenging use of algebra in the high level mathematics: calculus.    Calculus requires earlier high school mathematics at full strength: (i) This logically complete but long lesson on  complex numbers shows how to simplify the senior  high school exposition of circular trig functions upto to formulas in the plane  for vectors dot and cross-products.  The lesson provides the route that would have been taken in course design if the key element of the lesson, a December 2009 invention,  had been available in the 1950s.  For further algebra skill development. See the site coverage of fraction with units, proportionality,  ratios and rates, polynomials, quadratics functions  and straight line slopes and equations.
  • The Arithmetic Gap: An exact and efficient mastery of arithmetic with decimals and fractions is best (required)  for the high level  study of mathematics alone and in science, technology and business.   Pages here on arithmetic with decimals and integers,  on  fractions and solving linear equations with fractional operations on stick diagrams may help fill the gap.  That exact and efficient command should be obtained in the last years of primary school and the first years of secondary school.   

 Skill mastery in mathematics has to be seen to believed.  To that end,  learn or teach how-to write and draw the steps in mathematical figuring or  reasoning  clearly. Do not try to save space by doing a sequence of step in one place. Instead, do or record the steps in sequence on a separate lines to make each step obvious and verifiable.   

 

www.whyslopes.com

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Parents: Help your Child/Teen Learn covers  Speaking Skills, Reading & Writing Preparing for Science Having Patience, etc

Math How-TOs
1. Arithmetic   2. Algebra   3.  More Algebra  4.  Geometry 5 More Geometry 6.  Calculus
>> densely written 
>> use as skill checklists

Online Volumes (orders)
1,  Elements of Reason. 1996
1A. Pattern Based Reason  1995
1B. Math Curriculum Notes 1996
2. Three Skills for Algebra  1995
3 .Why.Slopes.&
.More.Math.1995

Skill & Concept 
Review or  Development 

 1. Decimal Arith - Video Based ]
2   Fractions  
3.  Fractions  with Units  
3. Solving Linear Equations  - 
making alg easier
4. Formulas forwards & Backwards - unifying theme for Algebra
5.  Proportionality, Back- & For-wards - theme at work.
6.  Logic - Math Free, good for precision in  work & studies 
7. Euclidean-Geometry  (leanly)
8. Slopes and Lines 
9. Why Study Slopes - a context 
10.  Quadratics
11  Polynomials
12  Factored Polys - a context
13 Functions - For-& Back -wards
14  Number Theory, Richly
15. Exponents, Radicals & logs.  
16   Calculus - Examples & Advice 
17.   Real  Analysis 
18  Electric Circuits Etc (So So)
19 Maps, Similarity & Trig, (alt view)
20 Complex numbers  

21 Logic with Symbols+truth tables

22  Consistent Story Telling
23. Even More Logic

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