Part 1:

1.

Algebra is a branch of mathematics that deals

with properties of operations and the structures these operations are defined

on. Algebra uses letters and symbols to represent numbers, points, and other

objects, as well as the relationships between them. It is an important life

skill that emerges as a prerequisite for all higher-level mathematical

education as well economic program.

There are 5 reasons for studying algebra.

Firstly, algebra can help us in our career. As we know, the qualification that

needed by students to access to college or get a degree, especially for the

course like economics, engineering and so on need a basic mathematics. So the

student that getting a good grade in mathematics opens up more career choices. The fact is, algebra can help us learn more

and gives us more chances of being able to choose a career that we love the

most.

Secondly,

algebra helps us to think logically especially in solving the problems. Even

though we do not use algebra as a daily basis in one day, however, our brain

will have been trained to think in a logical way, which not only helps us in

the workstead but also in daily life. For an example, when choosing which cloth

to select, or trying to work out.

Thirdly,

algebra helps us understand numbers better. Studying algebra helps us get

better at solving problems which involve only numbers eventhough sometimes we

did not realize it. Besides, it is likely that they would be worse at solving

numerical problems if they do not study algebra, and their understanding of how

numbers work would not as be as good. So we should thank algebra whenever we

find a solution to solve the complicated arithmetic problem.

Fourthly,

algebra helps develop critical thinking skill. For an example, algebra ii

develop abstract thinking and reasoning skills, which help students weigh

options and make wise decisions. As we had studied that algebra has so many

steps to get the answer to one questions. So students can choose which one they

think are easier for them to find the answer.

Lastly,

algebra is using in our daily life especially when we are counting our expenses

for the daily budget. Without the using

of algebra, we will not know how the money could increase or decrease. For an

example, like a student in using the money for daily life, how much the money

is spent within a month, so using algebra we will be able to manage expenses

and income for the money.

2. In

real life, the applications of linear equations are vast. By providing a

real-life example(s) from your own experience or scenario that you come across

from somewhere else, explain how linear equations can be used in everyday life?

In our real

life, the applications of linear equations are widely used in the world. Linear

equations is an algebraic equation in which each term has an exponent of one

and the graphing of the equation results in a straight line.

As my real

life example, my friend and I always go outside by using a grab car or uber.

From this experience, I had found out that linear equation are used by the

driver of this grab car or uber to charge the customers by calculating the

meters of our destination. For examples, for the first 10km, it will be charged

for RM5, then the value will be charged rm1 for each of the additional 1KM.

Besides,

linear equation also used when we are going to the supermarket. For an example,

I like buying apple fruits and papaya fruit at the price of 1 kg is equal to RM

5 while a papaya, 1 kg is equal to RM6.

If we buy 3 kg of apple and 2 kg of papaya, we will pay RM 27.

Moreover, the linear equation is using

for a student to find a place to live for every semester. For an example, a

student would like to choose his residence for the room using air conditioner

will pay every month RM 250 and if without an air conditioner, the charge is

just RM200. By that prices, the student

can see the difference between the rooms and take which one is more suitable

for them.

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3. Based

on your understanding, explain what is calculus and why do we study it?

Describe using an example(s), how calculus is used in the economics and

business?

The calculus

is a branch of mathematics that explores variables and how they change by

looking at them in infinitely small pieces called infinitesimals. Calculus

primarily concerned with functions, limits, derivatives, and integrals.

Calculus is the study of change that basically focuses on the rate of change

(differential calculus) and accumulation (integral calculus). Fundamental

Theorem of Calculus links the differential calculus with the integral calculus.

The theorems show how, in some sense, integration is the opposite of

differentiation.

In the

economics, analysis usually uses quantitive methods when reviewing specific

information in an economy. Quantitive methods are mathematical or statistical

calculations that provide economists with directional for comparing the current

economic synthesis to those of former periods. Economist usually uses various

types of math to do everything in economics to ensure their personal judgments,

theories or inferences are supported by meaningful calculations.

Besides, basic

examples of an economic model are the supply and demand graph. The differential

calculus is applied to original supply and demand models to determine how

different factors will shift the lines representing supply or demand in an

economic market. Economic models are also used to demonstrate various

inferences or theories proposed by economists.

In business

operations, the owners can use economic information to help forecast expected

sales while the important management tool when making a business plans and

decisions is the use of economic analysis. Usually, business owners do not

really need the heavy use of technical math concepts when breaking down

economic information.

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4. In your opinion, do you think that algebra and

calculus are necessary to be learned in your program? If Yes, support your

argument(s) with the example. If no, state your reasons as well.

In my opinion,

I think that algebra and calculus are necessary to be learned in our program.

It is because, without the basic knowledge of mathematics, it will be difficult

for us to calculate the terms of accounting and economic subject. For an

example, in subject economic, an algebra is using to state the ration of the slope

where the formula is, slope=?y/?x.

Besides,

students of economics should familiarize themselves with optimization

techniques using derivatives. They also should understand how slope and

fractional exponents interact within linear and exponential equations. For

example, students should be able to obtain the value of the slope of a line

using an equation, y = a + bx and solving for b.

Moreover,

algebra and calculus are so important to be learned in our programmes because

we need to get a good grade for that subjects because it is affecting our

pointer in an examination. Without a good grade in the examination, we will

hard to find a job in the future because does not complete the qualification.