MATHEMATICAL-LANGUAGE-AND-SYMBOLS (1).pdf

9/17/2024 MATHEMATICAL LANGUAGE AND SYMBOLS PREPARED BY: KIMBERT F. SANCHEZ...

9/17/2024 MATHEMATICAL LANGUAGE AND SYMBOLS PREPARED BY: KIMBERT F. SANCHEZ GE103 INSTRUCTOR 1 MATH LANGUAGE AND SYMBOLS Mathematics, being a language in itself, may appear complex and difficult to understand simply because it uses a different kind of alphabet and grammar structure. It uses a kind of language that has been historically proven effective communicating and transmitting realities. in mathematical In mathematics, like any other language, it can be learned; once learned, allow us to see fascinating things and provides us an advantage to comprehend and exploit the beauty of beneath and beyond. 2 1  9/17/2024 OBSERVE: 3 EXPRESSION VS. EQUATION 4 2  9/17/2024 EXPRESSION When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a "mathematical expression" 5 EQUATION An extension of the natural language that is used in mathematics and in science for expressing results ( scientific law, theorems, proofs, logical deductions etc.) with concision, precision and unambiguity. 6 3  9/17/2024 MATHEMATICAL SYMBOL A mathematical symbol is a figure or combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. 7 COMMON MATHEMATICAL SYMBOLS 8 4  9/17/2024 COMMON MATHEMATICAL SYMBOL Basic Operation Symbols Equality and Inequality Logical Operations and Connectives Sets and Relations Greek Letter and Symbols Propositional and Proof 9 BASIC OPERATION SYMBOLS OPERATION SYMBOL ADDITION + SUBTRACTION - MULTIPLICATION X, *, () , DIVISION /, ÷, √ 10 5  9/17/2024 EQUALITY AND INEQUALITY NAME SYMBOL EQUAL = NOT EQUAL ≠ GREATER THAN > LESS THAN < GREATER THAN OR EQUAL TO ≥ LESS THAN OR EQUAL TO ≤ 11 LOGICAL OPERATIONS AND CONNECTIVES OPERATION SYMBOL CONNECTIVES CONJUNCTION ∧ AND DISJUNCTION ∨ OR NEGATION ⌐,~ NOT CONDITIONAL → IF … THEN BICONDITIONAL IF AND ONLY IF 12 6  9/17/2024 SETS AND RELATION NAME SYMBOL UNION U INTERSECTION ∩ ELEMENT ∈ NOT AN ELEMENT ∉ SUBSET ⊂ NOT A SUBSET ⊄ EMPTY SET/ NULL SET Ø 13 GREEK LETTER AND SYMBOL LETTER SYMBOL ALPHA α BETA β GAMMA γ DELTA δ PI  PHI Φ ZIGMA Σ 14 7  9/17/2024 PROPOSITIONAL & PROOF NAME SYMBOL FOR ALL ∀ THERE EXIST ∃ THEREFORE ∴ SUCH THAT n|n END OF PROOF CONGRUENCE/ EQUIVALENCE ≈ 15 THANK YOU! 16 8