M2S1 Part 1 Flashcards
makes it easy to express the
kinds of thoughts that mathematicians like to express
The language of mathematics
(able to make very fine distinctions)
precise
(able to say things briefly)
concise
(able to express complex thoughts with relative ease)
powerful
characteristics of the language of mathematics:
precise, concise, and powerful
the mathematical analogue of an English
noun; it is a correct arrangement of mathematical symbols
used to represent a mathematical object of interest
expressions
does NOT state a complete thought; in particular,
it does not make sense to ask if an expression is true or
false.
expressions
types of expressions:
- NUMBERS
- SETS
- FUNCTIONS
- ORDERED
- PAIRS
- MATRICES
- VECTORS
- ……etc
e letters or letter-like symbols used to
represent an unknown or arbitrary quantity.
variables
different names for the same object
synonyms
to get a different name for
the expression, that in some way is simpler
simplify
the analogue of an English
sentence; it is a correct arrangement of mathematical
symbols that states a complete thought
mathematical sequence
In the mathematical sentence ` 3 + 4 = 7 ‘, the verb is…
=
“and” and “or”
connectives