Ppt1 To 4 Flashcards
Methematical economics refers to an economic model that uses the
principles and methods of mathematics to create economic theories and
analyze economic dilemmas. Mathematics helps economists to perform
quantifiable experiments and create models for predicting future economic
growth.
• It refers to the application of mathematical principles in developing theories
and evaluating problems relating to economics. When economists use
mathematical methods when creating theories and analyzing economic
problems, mathematical economics is put to use.
• Mathematical economics can also be defined as an integration of
mathematical methods and economic principles to formulate economic
theories and analysis of problems.
What is mathematical economics
To prove, disprove, or forecast economic
behavior, mathematical economics depends on
statistical observations. Even though the
researcher’s bias heavily influences the
discipline of economics, mathematics enables
economists to describe an observable
phenomenon and offers the backbone for
theoretical interpretation.
Understanding Mathematical Economics
• Mathematical economics paved the way for
genuine economic modeling. Through the
inclusion of mathematics, theoretical
economic models have become useful
instruments for day-to-day economic
policymaking.
• Mathematical economics is especially useful in
resolving optimization problems where, for example,
a policymaker looks for the best change out of a
variety of changes to affect a particular outcome.
Impact of Mathematical Economics
___________________ is the branch of economics concerned
with using mathematical methods (especially statistics)
to describe economic systems.
• ___________________ as a whole has the goal of translating
qualitative statements (such as “the relationship
between two or more variables is positive”) into
quantitative statements (such as “consumption
spending rises by 95 cents for each dollar increase in
disposable income”).
Econometrics
A ___________________ is a rule that assigns to each object in set A exactly
one object in set B. Set A is called the
domain of the function and
the set of assigned objects in set B is called range.
function
. It is typically written as y
= a + bx where y is the dependent variable, whose value depends
on the value of the independent variable (x) and two constants – ‘a’
and ‘b.’
Linear functions
, including cubic and quadratic functions
Non-linear functions
“_________” statement isamathematical expression, that is
called a
function.
if ..then
Increasing or decreasing the intercept is called?
Shifting the curve
If the slope changes, the curve swings (or rotates or pivots-whatever that swinging motion is called). Previously we had y = 2x + 3 Suppose now the slope increases from 2 to 3 Then our new lineis y = 3x + 3 Going through the if then statements
Swinging the curve
The quantity q of a commodity that the consumers will
purchase depends on the price p at which the commodity is
made available. An equation giving the relationship between
the quantity demanded and the price is called the demand
function. The linear demand function is as p = mq + b, where
m is the slope of the demand line, and b is the y-intercept
The demand function
In certain cases, the slope of the demand line may be zero,
which means constant price regardless of demand. The linear
equation for this demand is p = b
Demand with zero slope
In other cases, the slope of the demand line may be infinite, which means
constant demand regardless of price. The linear equation for this demand
is q = a
Demand with infinite slope
The quantity q of a commodity the producers will supply
depends on the price at which the commodity will be supplied
in the market. An equation giving the relationship between
the quantity supplied and the price is called the supply
function. The linear supply function is given as p = mq + b,
where m is the slope and b is the y-intercept
The supply function
occurs when the quantity of a commodity demanded
is equal to the quantity supplied. If the supply and demand curves for a
commodity are sketched on the same Cartesian coordinates with the
same units, the market equilibrium occurs at the point where the graphs
intersect
Market equilibrium