MMATH 1O1-( Mathematics in the Modern World)

Sequence

Sequence

it is typically numbers, in which oder of matters, repetition is allowed, and the same elements can appear multiple times.

“Fibonacci”

means “Son of Bonacci”

Pingala, Virahanka, Hemachandra

Indian mathematicians who investigated the pattern.

Leonardo Pisano Bogollo

the fibonacci sequence was introduced to Western European Mathematician in 1202 from his book “Liber Abaci” by _____.

1170 and 1250

Leonardo Pisano Bogollo lived in Italy.

*Hindu Arabic Numerals

*Roman Numerals

As well as being famous for the Fibonacci Sequence, Bogollo helped spread ______ and through European in place of ________.

History of Fibonacci Sequence

was discovered after and investigation on the reproduction of rabbits.

Fibonacci Sequence

It is a sequence in which each number is the sum of the two preceding ones.

Golden Ratio

when we take two successive (one after another) fibonacci numbers, their ratio is vry close to ____.

1.618034

constant value of Golden Ratio

Appreciation of Numbers

we look at numbers or signs or symbols used to represent magnitudes, or quantities.

Nominal Numbers

refers to the characteristics or attributes of subject or object that is used for naming, labeling and categorizing only.

Ordinal Numbers

refers to the characteristics of subjects or objects that is used for ranking and ordering

Interval Numbers

refers to the characteristics or attributes of subjects or objects that is of known sizes or distance

Ratio Numbers

refers to the characteristics or attributes of subject or objects that contains the characteristics of the interval data but in this case, zero has a true value.

Language

is a systematic means if communicating idea or feelings by the use of conventionalized signs, sounds, gestures, marks having understand meaning.

Precise

able to make very fine districtions

Concise

able to say things briefly

Mathematical Symbols

are used to refers to certain quantities, concepts, and ideas, among other things.

Mathematical Sentence

it is a correct arrangements of mathematical symbols that states a complete thought.

Powerful

able to express complex thoughts with relative ease

Mathematical Expression

Is the mathematical analogue of an English noun. It does not state a complete thought and does not make sense.

Variable

a symbol represents a value or a number. Usually small letters

Constant

a number on its own, meaning the value is never definite and will never change

Term

a constant, a variable or consonant(s) and variable(s) multiplied together

Expression

also called as algebraic expression, it is a group of term separated by the plus or minus symbols

Set

list each element (or “members”) separated by a comma and then put some curly brackets around the whole thing

Roster Form

the most familiar and easy formed used to represent sets

Finite Roster Form

of sets in which there asre elements that can be counted

Infinite Roster Notation

set in which elements can't be counted

Set Builder For

has a common features of all the elements of a set

Sungle Sets

when as set has only one element

Null or Empty Set

when the set does not contain any elements

Equal Sets

two sets are said to be equal if they have the same elements in them

Unequal Sets

two sets are said to be unequal if they have at least one different elements

Equivalent Sets

are the two sets that have the same numbers of elements, even if the elements are different

Overlapping Sets

If at least one element from set A is present in set B then the sets are said to be overlapping

Subset and Supersrt

in every element in set A is also present in set B then the set A is known as the subset of set B and set B is known as the superset of set A

Universal Set

the collectio of all the elements in regards to a particular subject

Disjointed Set

Two set are known as ____ if they have no common elements in both sets.

Union of Sets

is the set containing elements that are in A and B

Intersection of Set

is where A and B had the elements which are common in both set

Difference of Sets

we denote the set difference by A-B, which has the elements in set A that are not present in set B

Compliments of Sets

set A is denoted by “A”. which is the set of all elements in the universal set that are not present in set A