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Engineering

Mathematics

Applied Mathematics is a branch of mathematics where Mathematical theory is applied to real world problems.

Theoretical Mathematics is a branch of Mathematics where Theory and Concepts are studied.

The fields of study one can choose range from Physics, Chemistry, and Biology to Economics, Marketing, and Business.

Both Economics and Engineering Incorporate Mathematics

Human Development Index

**Engineering, Economics, and Mathematics.**

**The Human Development Index.**

**Economics**

The HDI is computed as the geometric mean of three sub-indexes based on Life, Education, and Income

Income Index Is Based on

Gross National Income (GNI)

For income index, we follow the same basic procedure, but we first take the natural log

We do this as the log of income better captures the diminishing marginal utility of income

GNI per Capita- $5,000

Using the HDI, we can determine how developed a country is with a numerical explanation

The number we derive ranges from 0 to 1, closer to 1 means that country is more developed

Education Index

DATA SET

Life Expectancy- 72 years

Mean Years of Schooling-10.5

Expected Years of Schooling-13.0

Country A

Now since we have computed the three sub indexes, we can now determine the HDI by cubing the square root of all three sub-indexes

Country A's HDI shows that even with a high life expectancy and a decent education outcome, the country lacks in gross national income

Life Expectancy

Engineering combines the fields of science and math to serve society.

Engineers are problem solvers, organizers, communicators, calculators and designers.

Abraham Diaz

Brandy Carron-Kukish

Amadeo Candido

Basic Principles of

The Human Development Index

The Health Index Is Based on Life Expectancy

We combine current and future levels of education by computing the geometric mean of MYS and EYS divided by the geometric mean of the highest recorded values for MYS and EYS.

Each sub-index represents a different ratio

Dimension

Life Expectancy

Mean Yrs. School

Expected Yrs. School

Education Index

GNI p.c.

Observed Maximum

83.2 yrs (Japan, 2010)

13.2 yrs (USA, 2000)

20.6 yrs (Australia, 2002)

0.951 (N.Z., 2010)

$108,211 (U.A.E., 1980)

Minimum

20.0 yrs

0 yrs

0 yrs

0.000

$163 (ZWE, 2008)

What Engineers Do

Engineering design process

Engineering disciplines

One final solution

Engineering, much like other science, is a broad discipline which is often broken down into several sub-disciplines.

4 main branches of engineering:

Chemical

Civil

Electrical

Mechanical

The Human Development Index brings all majors together

Engineering for the analysis

Mathematics for the equation

**What is an Algorithm?**

An algorithm is a sequence of unambiguous instructions for solving a problem, i.e., for obtaining a required output for any legitimate input in a finite amount of time.

**Algorithms are used for calculation, data processing, and automated reasoning.**

**Economics is a social science that can be broken down into two sub-categories**

**Microeconomics**

**Macroeconomics**

Economics for the model