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Lecture Notes - Modelling & Applied Computing MAM1043H (2021) - Semester 1 Notes R50,00   Add to cart
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Lecture Notes - Modelling & Applied Computing MAM1043H (2021) - Semester 1 Notes

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Semester 1 Notes for First-Year, Modelling & Applied Computing MAM1043H! All Summaries and Important Parts, Detailed and In-Depth.

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  • November 30, 2021
  • 29
  • 2021/2022
  • Class notes
  • Bishop mongwane
  • All classes

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, Definitions
Outcome
A single observation/realisation of a random process.


Sample Space
A set of all possible outcomes of an experiment.


Event
Any subset of a sample space.


Union (𝑨𝑨 ∪ 𝑩𝑩)
The set of outcomes that belong to at least one of A or B, or
both.


Intersection (𝑨𝑨 ∩ 𝑩𝑩)
The set of all possible outcomes that belong to both A and B.


Complement (𝑨𝑨𝒄𝒄 )
The 𝐴𝐴𝑐𝑐 of an event A is the set of all outcomes that are not in A.


Mutually Exclusive (𝑷𝑷(𝑨𝑨 ∩ 𝑩𝑩) = 𝟎𝟎)
A and B are said to be this if they have no outcomes in
common i.e., if A and B cannot occur together.

, Probability (𝑷𝑷(𝑨𝑨))
The proportion/fraction of times that a particular event
would occur in a long run of observations.

Order of Magnitude
The smallest power of 10 required to represent a number 𝑎𝑎 in
the form 𝑎𝑎 × 10𝑏𝑏 , where 𝑏𝑏 is the Order of Magnitude.



Area of a Sphere: 𝐴𝐴 = 4𝜋𝜋𝑟𝑟 2
𝑎𝑎+𝑏𝑏
Area of a Trapezoid: 𝐴𝐴 = ℎ
2

𝑙𝑙𝑙𝑙ℎ
Volume of a Pyramid with Rectangular Base: 𝑉𝑉 = 3

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