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DC Electric
Circuits
Basic Concepts
Electric Circuits, Energy, Heat and Power
Electric Circuits, Energy, Heat and Power
Next
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)
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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:
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Site value lies in the difference
between its ideas and yours.
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If one site explanation is not to
your liking, try another. Each one is different.
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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.
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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.
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www.whyslopes.com
site
search
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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