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# Engineering, Economics, and Mathematics.

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## Brandy Carron-Kukish

on 11 June 2014

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#### Transcript of Engineering, Economics, and Mathematics.

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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
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
Full transcript