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YOU are better than YOU think. Show yourself how:
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-/[]\- Logic
Mastery Do not leave here without it - Logic mastery will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.
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-/[]\- After logic, (a) continue reading Three Skills for Algebra, chapters 8 to 14 and do so alongside site area on solving linear2007 Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes & More Math, chapters 2 to 6; 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. |
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Explore collaborative whiteboards from groupboard, twiddla or scriblink. |
Head-To-Tail Method
A straight line arrow from one point to another may summarize the movement of an object. The object itself may follow a curved path between the tail or initial point of the arrow and the head or terminal point. Similarly when a sequence of straight line motions is followed, one after another, the arrow joining the initial point of the first motion to the terminal point of the last motion summarizes or gives the sum or resultant of the intermediate motions. That is a context and motivation for the head to tail addition of a sequence of arrows or vectors in navigation.
When two movements or motions, one after another, are summarized by arrows with the head of the first, its terminal point, at the tail of the second, the second's initial point, the sum or resultant of these two movements, vectors or arrows is summarized by the the arrow joining the initial point of the first motion to the terminal point of the second. This describes the head-to-tail method of adding two arrows or vectors together. The head of the first must be at the tail of the second. Here is a context and motivation for the head to tail addition of a sequence of arrows or vectors in navigation, a special case of the previous lesson.
Head to Tail Addition Method
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www.whyslopes.com
Complex Numbers
Hint: See the (newest) Complex Number. Starter Lesson. for a simple geometric introduction, then continue with easy consequence below.
The fundamental theorem of algebra and partial fraction decomposition in calculus depend on complex numbers.
Easy Consequences
First Earlier (Old) exposition of complex numbers follows in Z1 to B1 below - read for review or revision .
D1 to D6 after provide a review of vectors.
More on Complex Numbers:
Chapters in Volume 3::
Intro assumes the field properties
of real numbers in place of
deriving them geometrically