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Preface
This mostly live-code computational Wiki book addresses two audiences: STEM high school students...
Multiply both Sides
What: Multiply both sides of == by the same expression. Why: Such side-wise multiplication is an ...
Divide both Sides
What: Divide both sides of == by the same expression. Why: Such side-wise division is an essentia...
Add to Sides
What: Add the same expression to the both sides of == . Why: Such side-wise addition is an essent...
Subtract from Sides
What: Subtract the same expression from the both sides of == Why: Such side-wise subtraction is...
Right hand side vs. Left hand side
What: Different sides to an operator e.g. == Why: Proper treatment of the sides of an operator e...
Implicit Line Equation
line
+ and - operators
What: Addition and Subtraction of Vectors Why: Detailed computations Time To Complete: 2 hours ...
Terminologies
lhs : Left Hand Side rhs : Right Hand Side p = q : an identity Equational Expression: expr1 ...
instance [ ]
radius=norm[{x,y}]; linear = 3*x+2*y; pts = instance [linear <= 3 and 0.5<=radius <=1 , 300];...
solve a*x +b == 0 for x
sol = solve a*x +b == 0 for x; show sol; save as solve4; Output "sol" → {-(b/a)}
solve a*x + b = 0
sol = solve[ a*x + b == 0, {x}]; show sol; save as solve4; Output "sol" → {-(b/a)}
Words
"I am a word"
Operators
= + - * / {} () ; "" -> < > <= ⋂ ⋃ ⊕ ✕ ∂ ∈ ∉ ⊂ → and
Phrases
The highlighted are the phrases pts = evaluate l2 in the -1 to 3 range at increments of (1/4); ...
==
value to rhs. What do we mean equal by value? Example: 3 = 6/2 in spite of the fact that lhs and ...
Symbolic Computing
What: Concept of Symbolic ComputingWhy: Computing with symbols and non-numeralsTime To Complete: ...
What is Algebra?
What: Concept of AlgebraWhy: What is an algebra why you need algebraTime To Complete: 1 hour N...
What is a Vector?
Any set of objects with addition, subtraction and multiplication is an algebra. Any such object r...
Scale Factor < 0
What: Negative scale factorWhy: How to reverse a vector to point in the opposite directionTime To...