MAST Certification Homepage
What are the MAST Certifications?
A MAST Certification is granted when a member
of MAST has performed outstanding and consistent
work in their chosen field of study. MAST
will develop a number of in-house certifications
leading to the ability for individuals to
write for research grants as PIs (principal
investigators) in order to get funding and
salary support for their research. MAST certifications
are not necessary if you do not intend to
write for grants as a MAST member. MAST officers
are not required to be certified.
Kinds of Certifications
Every time you acquire 120 points (see below
for how to acquire points) in a subject area
you will get a certification. There are several
types of certifications:
- Normal Certification: This is acquired when
you get 120 points in an area of study.
- Certificate with Honor: This is acquired
when you receive a second (or more) certification
within the same area and do not yet have
a degree in it.
- Teaching Certificate: This is acquired if
you have a Bachelor's Degree or a Certificate
with Honor and you acquire another certificate
in the same area of study where over 50%
is from courses.
- Research Certificate: This is acquired if
you have a Bachelor's Degree or a Certificate
with Honor and you acquire another certificate
in the same area of study where over 50%
is from research.
- Master's Degree: This is acquired if you
have a Teaching/Research Certificate and
you acquire another certificate in the same
area of study.
- Scholar Certificate: This is acquired if
you have a Master's Degree and you get another
certification in the same area.
- Doctorate Degree: This is acquired if you
have a Scholar's Certificate and you get
another certification in the same area.
Specific Studies Accepted by MAST
Archaeology: The scientific study of materials
from past cultures.
Astronomy: The scientific stuydy of the universe,
its structure, and contents.
Atmospheric Science: The scientific study
of the atmosphere.
Botany: The science of plants.
Cell and Molecular Biology: The scientific
study of the basic constituents of living
systems.
Chemistry: The science of the structure,
properties, constituent components, and interactions
of matter.
Computer Science: The scientific approach
to software and the interface between software
and hardware.
Electronics and Computer Technology: The
technology of using electricity and magnetism
for practical and scientific purposes, and
the technology of computer hardware.
Engineering Science: The science behind engineering
technology.
Environmental Science: The scientific study
of ecological systems.
Geology: The scientific study of the earth.
Hydrology: The scientific study of groundwater
systems.
Materials Science: The science of studying
and developing new materials.
Mathematics: A rigorous study of abstract
structures and their applications.
Microbiology: The science of microscopic
organisms.
Oceanography: The scientific study of oceanic
systems.
Physics: The science of fundamental processes
in the universe.
Zoology: The science of animals.
Examples of Levels of MAST Studies:
Here are some examples of how subjects develop
from elementary to frontier levels.
Chemistry
Elementary:
- General Chemistry
Intermediate:
- Analytical Chemistry
- Organic Chemistry
- Physical Chemistry
Advanced:
- Analytical Organic Chemistry
- Biochemistry
- Chromatography
- Environmental Organic Chemistry
Frontier:
- Chromatography of Organic Compounds
Computer Science
Elementary:
- Computer Programming
- General Computer Science
Intermediate:
- Algorithms
- Data Structures
- Database Systems
- Numerical Linear Algebra
- Programming Language Structure
Advanced:
- Graph Theory
- Numerical Optimization
- Programming Language Design
Frontier:
- Compiler Design
Electronics and Computer Technology
Elementary:
- Electronics
Intermediate:
- Digital Electronics
- Electrodynamics
Advanced:
- Antenna Theory
- Digital Filters
- Signal Processing
Frontier:
- Digital Signal Processing
Mathematics
Elementary:
- Calculus
Intermediate:
- Abstract Algebra
- Differential Equations
- Linear Algebra
Advanced:
- Differential Geometry
- Topology
- Vector Spaces
Frontier:
- Riemannian Geometry
Microbiology
Elementary:
- Microbiology
- Microscopy
Intermediate:
- Microbial Growth
- Photomicrography
Advanced:
- Effects of Light on Bacteria.
Frontier:
- By-products of the effects of light on bacteria.
Physics
Elementary:
- General Physics
Intermediate:
- Classical Electrodynamics
- Classical Mechanics
- Quantum Mechanics
- Thermal Physics
Advanced:
- Chaos Theory
- Quantum Field Theory
- Relativity
Frontier:
- Black Holes
Examples of How to Gain Points
Chemistry:
- You read Linus Pauling's book on general
chemistry. You take at least two hundred
pages of notes and work six problems per
chapter, a total of one hundred fifty six
problems (or five groups of thirty). This
is worth a total of 7 points.
- While reading Pauling's book you become aware
that you need to study some calculus. You
acquire Kline's book on calculus and read
it, generating at least two hundred pages
of notes and working nine problems per chapter,
a total of two hundred twenty five problems
(seven groups of thirty). This is worth nine
points, for a total of 16 points.
- You start to read a lab manual for general
chemistry and decide to construct an elementary-level
chemistry lab. You make a list of lab equipment
and chemicals that you will need and acquire
these. You construct a lab bench. This is
worth three points, for a total of 19 points.
- You perform several experiments (taking 100
pages of notes in your lab notebook in the
process) and then you write a paper about
them. In the process you construct an apparatus
for MAST use. This is worth four points,
for a total of 23.
- You decide that chemistry is really cool
and want to share it with others. You create
a twenty lecture course with detailed lecture
notes, twenty tutorials, and ten lab sessions.
This is worth ten points, for a total of
33.
- Along the way you become interested in analytical
chemistry and after some searching and saving,
you get a book on it. You read the book taking
detailed notes. You have at least two hundred
pages of notes and have solved six problems
per chapter (assuming there are twenty chapters,
this is one hundred twenty problems, or four
groups of thirty problems). This is worth
twelve points, for a total of 45.
- You create a potentiometric apparatus for
two points, a titration apparatus for one
point, and acquire an analytical balance
for two points. This is worth five points,
for a total of 50.
- You get interested in the underlying principles
of chemistry. You study a book on general
physics. You take at least one hundred pages
of notes and work three problems per chapter
(assuming forty chapters, this is one hundred
twenty problems, or four groups of thirty).
This is worth five points for a total of
55.
- You continue your study with a book on physical
chemistry. You take at least two hundred
pages of notes and work three problems per
chapter, assuming the book has thirty chapters
this is a total of ninety problems (or three
groups of thirty). This is worth ten points
for a total of 65.
- You become interested in organic chemistry
and read the Schaum's outline of that subject.
You generate at least two hundred pages of
notes and work twelve problems per chapter.
There are twenty two chapters in the book,
for a total of two hundred sixty four problems
(or eight groups of thirty). This is worth
twenty points for a total of 85.
- You want to study biochemistry so you read
a book on biology, taking at least one hundred
pages of notes and doing three problems per
chapter. Assuming there are thirty chapters
this is a total of ninety problems (or three
groups of thirty). This is worth four points
for a total of 89 points.
- You read a book on biochemistry, take at
least two hundred pages of notes, and do
three problems per chapter. Assuming the
book has twenty four chapters, this is a
total of seventy two problems (or two groups
of three). This is worth twelve points for
a total of 101 points
- You become interested in developing a computer-controlled
gas chromatograph. You purchase a computer
and a programming language. You generate
a program to help you analyze lab results
you have already made. This is worth three
points for a total of 104 points.
- You decide to build the gas chromatograph,
this generates at least one hundred pages
of notes and a paper. This is worth seven
points, for a total of 111 points.
- You develop a way to connect the gas chromatograph
to the computer and do all of the programming.
You make at least two hundred pages of notes,
an analog-to-digital converter, software
to read the ADC, and software to analyze
the chromatogram. This is worth sixteen points,
for a total of 127 points. Since you have
biology, chemistry, mathematics, physics,
electronics, and computer programming you
have just earned a MAST Associate Degree
in chemistry. You also have seven points
toward your next certification.
- You read a book on data analysis to refine
your software. You generate at least two
hundred pages of notes and work sixty problems.
This is worth eight points, for a total of
15 points.
- You become interested in stories about toxic
waste dumping. Using your background in organic
chemistry you write an essay on the social
impact of dumping in your community. This
is worth three points, for a total of 18
points.
- You read about plans for a new toxic waste
facility and attend several hearings. This
generates at least one hundred pages of notes,
you write a very technical report on the
proposed facility, and you produce three
essays that you submit as letters-to-the-editor
to a local newspaper. This is worth fourteen
points for a total of 32 points.
- You become interested in the history of waste
treatment and get a book on it. You develop
at least two hundred pages of notes and you
write a paper on it. This is worth ten points
for a total of 42 points.
- You go through your past notes and become
interested in the basis for molecular structure.
You get a book on quantum mechanics, generating
at least one hundred pages of notes and sixty
problems. This is worth nine points for a
total of 51 points.
- You continue your interest in environmental
chemistry with a study of local lakes. You
get a GPS receiver so you can record your
position. You also get a recording thermometer
and take samples from various depths. You
then use your equipment to analyze for various
contaminants. You produce a detailed report
after accumulating at least three hundred
pages of notes. This is worth nineteen points
for a total of 70 points.
- You get a book on molecular dynamics and
generate at least two hundred pages of notes,
you solve sixty problems, you develop a computer
system to build molecular models, and you
develop two papers. This is worth twenty
three points, for a total of 93 points.
- You develop a system for molecular dynamics,
generating three hundred pages of notes,
and four papers. This is worth thirty one
points, for a total of 124 points. This is
worth enough points to get a new certification,
since you have all of the requirements this
certification is a Bachelor's Degree in Chemistry.
You also have four points left over for your
next certificate.
Computer Science:
- You buy a computer, a programming language,
a printer, and monitor. This constitutes
an elementary-level computer science lab.
This is worth seven points.
- You read a book on programming and take at
least one hundred pages of notes, doing six
exercises per chapter. Assuming there are
ten chapters in the book, this is a total
of sixty problems (or two groups of thirty).
This is worth three points, for a total of
10 points.
- You do a programming project, write a paper
about it, and produce two programs for use
by MAST. This is worth five points, for a
total of 15.
- You read a book on discrete mathematics,
taking at least two hundred pages of notes
and working six problems per chapter. There
are thirty chapters in the book for a total
of one hundred eighty problems (or six groups
of thirty). This is worth sixteen points,
for a total of 31.
- You read a book on data structures, taking
at least one hudred pages of notes and working
six problems per chapter. Assuming twenty
chapters this is one hundred twenty problems
(or four groups of thirty). This is worth
ten points, for a total of 41.
- You create a database system for MAST use,
making at least one hundred pages of notes,
create a users manual (the equivalent of
a paper), and develop a 10 lesson course
of tutorials in its use. This is worth eight
points, for a total of 49 points.
- You become interested in combinatorics, but
when you start reading the book you realize
your math background isn't up to it. You
settle on a book on linear algebra and take
at least one hundred pages of notes and work
3 problems per chapter. Assuming twenty chapters
this is a total of sixty problems (or two
groups of thirty). This is worth six points
for a total of 55 points.
- You write a set of tools for doing linear
algebra on the computer, in the process you
come up with at least two hundred pages of
notes, and write a users guide and a 10 tutorial
course in its use. This is worth ten points
for a total of 65 points.
- You now read a book on abstract algebra to
prepare you for combinatorics. You take at
least one hundred pages of notes and work
three problems per chapter. Assuming the
book has eight chapters you have a total
of twenty four problems, this is not enough.
You do another six problems to bring it up
to thirty. This is worth four points for
a total of 69 points.
- You finally get to the combinatorics book
and take well over two hundred pages of notes
and work three problems per chapter. Assuming
the book has twenty chapters this is a total
of sixty problems (or two groups of thirty).
This is worth nine points for a total of
78 points.
- You become fascinated with graph theory and,
armed with a book on the subject, you produce
at least two hundred pages of notes and nine
problems per chapter. Assuming the book has
ten chapters, this gives a total of ninety
problems (or three groups of thirty). This
is worth fifteen points for a total of 93
points.
- You become interested in combinatorial optimization.
You read a book on it, take at least one
hundred pages of notes, do six problems per
chapter (assuming a total of sixty problems,
or two groups of thirty), write three optimization
programs, and write a paper. This is worth
twenty two points, for a total of 115 points.
- You become interested in developing a computer
language. You buy a book on programming languages,
take at least one hundred pages of notes,
and do sixty problems. This is worth six
points, for a total of 121 points. You now
receive a MAST certification in Computer
Science. You also have one point towards
you next certification.
Electronics and Computer Technology:
- You read a book on electronics and take at
least two hundred pages of notes and work
ninety problems (or three groups of thirty).
This is worth five points.
- While reading the book you decide to make
a lab to do experiments. You get a breadboard,
a couple of DMMs, a regulated power supply,
and some components and wire. Along the way
you do enough experiments to generate at
least one hundred pages of notes. This is
worth eight points for a total of 13 points.
- You construct an apparatus for use by MAST,
and you write a paper about it. This is worth
three points, for a total of 16 points.
- You get interested in digital electronics,
get a book on it, and take at least one hundred
pages of notes doing thirty problems. This
is worth four points, for a total of 20 problems.
- You experiment with digital filters, taking
at least two hundred pages of notes, developing
three different filters for MAST use, and
writing three papers. This is worth nineteen
points for a total of 39 points.
- You get interested in signal processing and
get a book on it. You realize that you need
more mathematics than you have so you decide
to study a calculus book. You take at least
one hundred pages of notes, work one hundred
twenty problems (four groups of thirty),
and you write a fifty page topical overview
of calculus as a personal reference. This
is worth six points for a total of 45 points.
- Your math still isn't enough so you study
a book on engineering mathematics taking
at least three hundred pages of notes and
working one hundred twenty problems. This
gives you a total of fourteen points, for
a total of 59 points.
- Now you read the book on signal processing.
You take at least one hundred pages of notes
and work one hundred twenty problems. This
is worth fifteen points for a total of 74
points.
- You get a computer and a programming language.
You learn to program the computer in the
language acquiring at least one hundred pages
of notes. This is worth three points for
a total of 77 points.
- You build an analog-to-digital converter
for you computer, generating at least one
hundred pages of notes and writing a paper
about it. This is worth seven points for
a total of 84 points.
- You now need to study electromagnetic waves,
but you find that you do not have enough
physics background. You read a book on physics
and generate at least one hundred pages of
notes and work thirty problems. This is worth
two points for a total of 86 points.
- You get a book on electrodynamics. You use
it to generate at least two hundred pages
of notes and you do sixty problems. This
is worth eight points for a total of 94 points.
- You read a book on electromagnetic waves,
making at least two hundred pages of notes
and doing thirty problems. This is worth
nine points for a total of 103 points.
- You decide that you want an actual degree
out this so you read a chemistry book, taking
at least one hundred pages of notes and working
thirty problems. This is worth two points
for a total of 105 points.
- You acquire a radio receiver, build an antenna,
and use your ADC to develop a radio telescope
for observing the Sun. You also develop a
facility to record and analyze the data (a
laboratory). This generates at least two
hundred pages of notes and a research paper.
This is worth twenty two points for a total
of 127 points. Since you have sufficient
background you acquire a MAST Associate Degree
in Electronics and Computer Technology. You
also have seven points toward your next certificate.
Mathematics:
- You read a book on calculus, taking at least
two hundred pages of notes and working ninety
problems. This is worth 5 points.
- You decide to teach a course in calculus
consisting of thirty tutorials on a web page,
and you state that you will participate in
thirty on-line chat sessions that will constitute
lectures. You develop and answer three hundred
problems for the tutorials. This is worth
sixteen points, for a total of 21 points.
- You get interested in differential equations
and read a book on it, taking at least two
hundred pages of notes and working ninety
problems. This is worth ten points, for a
total of 31 points.
- You get interested in linear algebra and
read a book on it, taking at least two hundred
pages of notes and working sixty problems.
This is worth eight points for a total of
39 points.
- You think differential equations are interesting
and you develop a twenty tutorial course
on a web page with twenty on-line chat sessions
as lectures. You also develop two hundred
problems and their solutions. This is worth
twenty points for a total of 59 points.
- You decide to make a deeper study of vector
spaces and purchase Paul Halmos' book. You
read it and generate at least two hundred
pages of notes (more than the length of the
book!), you also work thirty problems. This
is worth nine points for a total of 68 points.
- You generate at least one hundred pages of
notes for a research project on vector spaces
and write two papers. This is worth eleven
points for a total of 79 points.
- You become interested in abstract algebra.
You get a book on it, develop at least two
hundred pages of notes and work thirty problems.
This is worth six points for a total of 85
points.
- You read a book on topology and take at least
two hundred pages of notes while working
sixty problems. This is worth eight points
for a total of 93 points.
- You read a book of differential geometry
and take at least two hundred pages of notes
and work sixty problems. This is worth twelve
points for a total of 105 points.
- You become fascinated by differential geometry
and read another book. You get at least another
hundred pages of notes, you work ninety problems,
and you develop a research paper. This is
worth sixteen points for a total of 121 points.
You have just earned a MAST certificate in
mathematics. You also have a point left over
for the next certificate.
Microbiology:
- You acquire a microscope and slidemaking
kit. This is worth 2 points.
- You read a book about microbiology taking
at least one hundred pages of notes and doing
thirty problems. This is worth two points
for a total of 4 points.
- You realize that you do not have enough background
in chemistry and so you read a book on general
chemistry that is oriented towards the life
sciences. You take at least one hundred pages
of notes, and work ninety problems. This
is worth four points, for a total of 8 points.
- You develop a laboratory for cultivating
bacteria. You perform enough experiments
for at least two hundred pages of notes.
This is worth four points, for a total of
12 points.
- You acquire the apparatus to take photomicrographs.
This is worth a point for a total of 13 points.
- You become interested in the effects of light
on bacteria. You decide to study some physics
so you will understand what is going on.
You begin to read a physics book only to
realize that you need calculus. You study
a calculus book taking at least one hundred
pages of notes and doing thirty problems.
This is worth two points for a total of 15
points.
- You now read the physics book, from this
you gain at least one hundred pages of notes,
you work thirty problems, and you build an
apparatus for controlling and measuring light
shining on a petrie dish. This is worth three
points for a total of 18 points.
- You decide that you need to record the light
readings in a computer and you get a computer
and learn to program it. You also get a computer-controlled
light meter. This is worth three points for
a total of 21 points.
- You do several experiments into the effects
of light on various bacteria. You generate
at least three hundred pages of notes and
write five papers on the subject. This is
worth twenty one points, for a total of 41
points.
- You read a book on organic chemistry in preparation
to learn about biochemistry. You write at
least two hundred pages of notes and do ninety
problems. This is worth ten points for a
total of 51 points.
- You read a book on biochemistry. You generate
at least two hundred pages of notes and do
ninety problems, you also invent thirty problems
relating specifically to bacteria. This in
turn generates three papers. This is worth
twenty one points, for a total of 72 points.
- You do a research project that investigates
the biochemical effects of light on bacteria.
This results in at least two hundred pages
of notes, three papers, and the development
of a biochemistry lab including a thin-layer
chromatography apparatus. This is worth twenty
six points for a total of 98 points.
- You investigate the by-products of the effects
of light on certain bacteria. This involves
extensive analytical chemistry (you read
a book on this), generating at least two
hundred pages of notes and four research
papers. This is worth twenty two points for
a total of 120 points. Since you have biology,
chemistry, physics, mathematics, and computer
programming you get a MAST Associate Degree
in Microbiology.
Physics:
- You read a book about general physics taking
at least two hundred pages of notes and doing
thirty problems. This is worth 3 points.
- You realize that you need a better understanding
of calculus as you read the physics book.
So you study calculus at the same time, taking
at least two hundred pages of notes and working
thirty problems. This is worth three points,
for a total of 6 points.
- You become interested in chaos theory, but
decide you do not have the necessary background
and decide to study two books simultaneously.
The first is a book on classical mechanics
where you take two hundred pages of notes
and work ninety problems. The second is a
book on mathematical methods for physics
and you take at least three hundred pages
of notes and work ninety problems. This gives
you twenty two points for a total of 28 points.
- Now you study a book on chaos theory, taking
at least one hundred pages of notes and working
ninety problems. This is worth twelve points
for a total of 40 points.
- You do some theoretical work on chaos that
generates at least two hundred pages of notes
and you write two papers. This is worth fourteen
points for a total of 54 points.
- You now become interested in quantum mechanics
and you read a book on it. You take at least
two hundred pages of notes and work sixty
problems. This is worth eight points for
a total of 62 points.
- You develop an interest in relativity. You
get a book on it and take at least three
hundred pages of notes and work sixty problems.
This is worth fifteen points for a total
of 77 points.
- You develop an interest in black holes. You
get a book on it and take at least three
hundred pages of notes. You invent and solve
thirty problems. You write three papers based
on your work. This is worth thirty one points,
for a total of 108 points.
- You become interested in thermal physics
and read a book on it. You take at least
one hundred pages of notes and work sixty
problems. This is worth six points for a
total of 114 points.
- You become interested in the thermodynamics
of black holes but realize that you need
to study quantum field theory. You get a
book on that and realize that you need more
background in electrodynamics. You get a
level text on electrodynamics and generate
at least two hundred pages of notes and work
thirty problems. This is worth six points
for a total of 120 points. You have just
earned a MAST certificate in physics.
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