MAST is now offering NON-VOCATIONAL science educational programs.
We have developed certificate programs and awards. These are for demonstrating competence within MAST or SAS only and are not intended for use outside of MAST or SAS.
To take advantage of these programs you must be a member of MAST or SAS. We cannot issue certificates or awards to non-members. There is no cost to getting either a certificate or a degree.
MAST is not a traditional educational setting. First, our program is intended only for amateur science within MAST or SAS. We do things through actions, not passive lectures and passive reading. We also realize that there are many different possible pathways to the same end, thus there are no specific course structures. As you will see below you get points (credits) for doing specific types of things. Instead of classes we have learning projects. You perform a learning project by using an existing list of topics, or by generating your own such list. You then proceed through each topic, in order, developing a set of notes. These notes are your principal requirement for finishing a learning project. Most people will use a written notebook. Some courses, those that do not require experimental projects, can be kept on a computer. I recommend that you write by hand, since your notebook will be more intimate for you. Your notebook will become a fundamental tool for your understanding, because it is both personal for you, and it is entirely your own work; in a very real sense it becomes your textbook into the subject of the course. This is particularly nice when you consider that modern textbooks in science and mathematics can easily exceed $100.
Below you will see a list of CORE learning projects, these are the foundation of the program. These projects require a total of two points to complete them. This means that a notebook, while necessary, is not sufficient for these elementary projects to provide the required points; you fall short by a point. You will need to do things to get the remaining point. It is your instructor who will award these points to you. These points will be awarded following meetings with your instructor. These meetings can be one-on-one or there may be other students doing the same thing. Such meetings may be in person, over the phone, or over the Internet by email or even web conferencing. Each meeting may involve discussions of difficulties you are having in understanding, presenting work you have done, conducting experiments, and even conducting a lecture course of your own (see below for specific details on how to accumulate points). Unlike traditional venues that force you to adopt their schedule, MAST allows you as much time as you need to fully understand the subject you are tackling. I do not recommend that you mail your notebook to your instructor. Instead you should either scan the notebook into a computer, or photocopy the pages and mail the photocopies.
When you choose a notebook, it is important to choose a bound notebook that is at least 100 pages long. In some projects, particlarly those that are more mathematical or theoretical , you may substitute binders or even computer notes as no data integrity issues are likely to arise.
As stated above, you work from topic lists created by or for you (see Fields of Study for possible links to already prepared topic lists). Each topic in the topic list will be the subject of many work sessions. Each work session will consist of a number of tasks for you to perform. When you have mastered one topic you may then move on to the next until you are done with that learning project. Then you can move on to the next project. Eventually you are done with your program of study. You can find details on how to keep a learning project notebook below. Almost all of the responsibility for completing a project is on you. Consider the advice given by your instructor carefully, as they will be awarding you the points for your course. You may proceed at your own pace, but I urge you to do at least some work on your project each week. The idea is for you to learn how to do things on your own. Here is a good way to approach each topic in the lists below:
More information on how to gain the most out of the materials you have can be found in the self-study course.
In MAST an instructor has the following duties:
For this purpose, an instructor must have either completed the same project on their own, or to have demonstrated complete understanding of the subject matter themselves.
There are specific general requirements for getting a certificate or award:
CORE 1: Self-Study, CORE 2: Mathematics for Science 1: Single-Variable Calculus, CORE 4: Introduction to DOING Science, CORE 6: Computational Science and one Introductory Science Project of your choice..
CORE 3: Mathematics for Science 2: Linear Algebra and Differential Equations, CORE 7: Mathematics for Science 3: Multivariable Calculus, CORE 9: Mathematics for Science 4: Probability and Statistics, CORE 11: Mathematics for Science 5: Algebra, CORE 13: Mathematics for Science 6: Complex Analysis, CORE 15: Mathematics for Science 7: Partial Differential Equations and Geometry, and one project in pure mathematics, applied mathematics, or data analysis.
CORE 5: Physics for Science 1: Newtonian Mechanics, CORE 8: Physics for Science 2: Electromagnetism and Relativity, CORE 10: Physics for Science 3: Optics, CORE 12: Physics for Science 4: Thermodynamics and Continuum Mechanics, CORE 14: Physics for Science 5: Quantum Mechanics, CORE 16: Physics for Science 6: Advanced Topics in Physics, and one project in theoretical physics. computational physics, experimental physcis, or applied physics.
CORE 17: Chemistry for Science 1: Physical Chemistry, CORE 18: Chemistry for Science 2: Organic Chemistry, CORE 26: Chemistry for Science 3: Inorganic Chemistry and Chemical Analysis, CORE 28: Biochemistry for Science, and one project in theoretical chemistry, computational chemistry, experimental chemsitry, or applied chemistry.
CORE 19: Electronics for Science 1: DC Circuits, CORE 27: Electronics for Science 2: AC Circuits, CORE 29: Electronics for Science 3: Semiconductor Devices, CORE 31: Electronics for Science 4: Digital Electronics, CORE 37: Engineering for Science, and one project in instrument design and construction.
CORE 20: Scientific Research, and CORE 21: Scientific Writing, and CORE 40: Science Instruction.
CORE 30: Cell Biology for Science, and three to five of the following: CORE 32: Introduction to Biomedical Science, CORE 33: Introduction to Botany , CORE 34: Introduction to Microbiology, CORE 35: Introduction to Molecular Biology, and/or CORE 36: Introduction to Zoology.
Two to four of these: CORE 22: Introduction to Astronomy, CORE 023: Introduction to Atmospheric Science, CORE 24: Introduction to Geology, and/or CORE 25: Introduction to Hydrology. Then both CORE 38: Introduction to Environmental Science and CORE 39: Introduction to Oceanography. Then one project in an environmental science of your choice.
Completing all certificate programs above, two minor certificates, one major certificate, and one research or teaching project will grant you an Associate of Science Award.
An Associate of Science within MAST will allow the recipient to apply for grants on behalf of MAST.
You must already have an Associate of Science Award. Details for each program will be specified in the specialty fields described below.
You must already have a Science Achievement Award. Details for each program will be specified in the specialty fields described below.
You must already have a MAST Instructional or Research Certificate. Details for each program will be specified in the specialty fields described below.
You must already have a MAST Master of Science Award. Details for each program will be specified in the specialty fields described below.
You must already have a MAST Scholar Certificate. Details for each program will be specified in the specialty fields described below.
This is an eight lesson project that teaches you to plan, execute, and validate your own learning projects, and to teach what you have learned to others. Along the way you will learn to identify your critical learning talents, collect and use educational materials, take control of your learning, test yourself, and instruct others.
Limits and the derivative, calculating derivatives, rules of differentiation, applications of differentiation, the integral and the fundamental theorem of calculus, methods of integration, applications of integration, infinite series, power series, and series expansions of functions.
First-order differential equations, vector algebra, differentiation and integration of vectors with respect to a single variable, matrix algebra, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, higher-order differential equations, and power series methods of solution.
The nature of experimental science, the scientific notebook, measurement, estimation, data analysis, modeling, designing experiments to make measurements, designing experiments to verify a model prediction, building and calibrating equipment, and conducting experiments.
Motion and displacement, frames of reference, velocity and acceleration, kinematical equations on motion, Newton's laws, deriving forces by dimensional analysis, integrating the equations of motion, conservation of energy, conservation of momentum, and conservation of angular momentum.
Computer hardware/software/and operating systems, introduction to Mathematica, numerical capabilities of Mathematica, symbolic capabilities of Mathematica, the basic ideas of program design, writing functions and other short programs in Mathematica, graphics programming in Mathematica, programming styles, writing packages in Mathematica, and GUIKit.
Partial derivatives, applications of partial derivatives, double integrals, multiple integrals, applications of multiple integrals, the vector operator nabla and the gradient/divergence/ and curl, line integrals, surface integrals, volume integrals, and the divergence theorem and Stokes' theorem.
The electric field, DC circuits, dielectrics, magnetic fields, magnetic materials, induction and inductance, AC circuits, Maxwell's equations, special relativity, and relativistic mechanics.
Probability, sample spaces, probability distributions, probability densities, measures of central tendency, measures of dispersion, hypothesis testing, fitting a line, fitting a curve, and nonlinear fitting.
The principle of least time, geometrical optics, electromagnetic radiation, interference, diffraction, radiation damping and scattering, polarization, the relativity of radiation, the wave equation, and wave optics.
Prime numbers, congruences, Diophantine equations, counting, graphs, network flows, groups, morphisms, group representations, and other algebraic structures.
The zeroth law of thermodynamics, the first law of thermodynamics, the second law of thermodynamics, the third law of thermodynamics, thermodynamic potentials, phase transformations, heat transfer, statics of deformable bodies, kinematics of deformable bodies, and dynamics of deformable bodies.
Complex numbers, functions of a complex variable, hyperbolic functions, Cauchy-Riemann equations, complex integration, complex series, zeros and poles, residue theory, evaluation of integrals, and conformal mappings.
Problems with classical mechanics, light as a particle, particles as waves, the wave function, the Schrödinger equation, the postulates of quantum mechanics, Dirac notation and operators, properties of operators, simple solutions of the Schrödinger equation, and the harmonic oscillator.
Partial differential equations, boundary-value problems, other coordinate systems, Euclidean geometry, geometric constructions, projective geometry, analytic geometry, noneuclidean geometry, topology, and differential geometry.
General relativity, astrophysics and cosmology, atomic physics, molecular physics, condensed matter physics, statistical physics, quantum information and computing, quantum field theory, elementary particle physics, and nuclear physics.
Many-electron atoms and the periodic table of elements, chemical bonding, the mole and chemical equations, stoichiometry, chemical reactions, states of matter, solutions and colloids, reaction rates, chemical equilibrium, and acids and bases.
Organic chemistry, alkanes, alkenes and alkynes, aromatic compounds, alcohols and phenols, ethers and halides, aldehydes and ketones, carboxylic acids and their derivatives, esters, and amines and amides.
Electrical safety and DC test equipment, basic circuit analysis using Kirchhoff's laws, divider circuits, DC signals, DC networks, batteries/power supplies/fuses/and breakers, wires/cables/conductors/and insulators, capacitors and inductors, RC and L/R time constants, and troubleshooting DC circuits.
Deciding on a research problem, initial planning, first draft proposal, finished proposal, detailed preparations, three work sessions, analyzing your results, and writing the report.
The nature of scientific writing, the tone and rhythm of scientific writing, the elements of style in scientific writing, the overall structure of a scientific paper, how to write a paper, review papers, grant proposals, tutorials, textbooks and monographs, and other writing.
Celestial mechanics, computer modeling of celestial mechanics, telescopes and detectors, observational astronomy, the solar system, observed stellar properties, the physics of stars, the interstellar medium, galaxies, and cosmology.
Atmospheric thermodynamics, atmospheric dynamics, synoptic-scale mid-latitude weather systems, atmospheric chemistry, atmospheric physics, synoptic-scale weather analysis and forecasting, mesoscale meteorology, microscale meteorology, tropical weather systems, and climatology.
Geophysics, historical geology, geochemistry, minerology, petrology, soil science, geomorphology, economically-significant geological resources, geological hazards, and planetology.
The hydrologic cycle, basic fluid dynamics, fluid dynamics of channels/rivers/and lakes, water chemistry, contaminants, evaporation and transpiration, surface water, subsurface water, rivers and streams, and lakes.
Electrochemistry, metals and metalloids, nonmetals, transition elements, coordination compounds and complexes, environmental chemistry, radiochemistry, qualitative analysis, quantitative analysis, and instrumental analysis.
Waveform voltage sources, the oscilloscope, reactance and impedence, resonance, filters, transformers and amplifiers, polyphase AC circuits, transmission lines, signal analysis of circuits, and troubleshooting AC circuits.
Carbohydrates, lipids, proteins and amino acids, enzymes, bioenergetics, metabolic pathways, biosynthesis, nucleic acids and protein synthesis, neurotransmitters and hormones, and nutrition and digestion.
Semiconductor physics, diodes, transistors, power amplifiers, amplifier frequency response, thyristors, op-amps, op-amp circuits, electron tubes, and transducers.
Using the microscope, the nature of cells, cell structure, organelles, cell types, cell diversity, cell biochemistry, cell division, cell communications, and tissues.
Numeration in different bases and binary arithmetic, logic gates/switches/and relays, Boolean algebra and Karnaugh mappings, combinatorial logic functions, multivibrators and flip-flops, counters and shift registers, digital-analog conversion, computer architecture, microprocessors, and logic controllers.
Human biochemistry, human anatomy, human physiology, medical microbiology, epidemiology, pharmacology, environmental and occupational health concerns, family health concerns, radiation physics and radiation protection, and medical imaging and nuclear medicine.
Plant cells, plant tissues, plant anatomy, plant physiology, plant genetics, plant development, hormones and growth, plant evolution, plant taxonomy, and plant ecology.
Staining for microbiology, fungi, protozoa, bacteria, viruses, control of microbes and aseptic technique, culture media, microbial growth, microbial physiology, and microbial genetics.
Genetics, population genetics, genes and chromosomes, gene structure, molecular genetics, mutation, transcription, cloning, regulation of gene expression, and genetic engineering.
Animal cells, protozoans and simple animals, animal tissues, anatomy, physiology, animal genetics, animal development and growth, behavior, invertebrates, and vertebrates.
Engineering materials, shop tools and techniques, mechanical drawing and mechanical design, friction and simple machines, sensors, control systems, motors, mechanical systems, pneumatic/vacuum/and hydraulic systems, and robotics.
Environments, life in environments, environmental physics, environmental chemistry, populations, communities, natural selection, competition, exploitation and conservation, and biodiversity.
Marine geology, ocean chemistry, ocean physics, ocean formation, oceanic flows and waves, atmosphere-ocrean interactions, marine microorganisms, marine plants, marine animals, and marine ecology.
Course planning, course initial proposal, course lesson outlines, course final proposal, preliminary lesson development, preliminary homework development, preliminary assessment development, course scheduling, final material preparations, and web page development.
These are short projects designed to provide the practical basis for future development in an area of study. These are not projects for mastery of the facts of a study, rather they are designed to expose basic techniques for the discovery of facts. These projects are only six lessons long.
What is archaeology? How are artifacts discovered? What can we learn from artifacts in the laboratory? How do we construct an archaeological laboratory? What are some projects to get started in archaeology? What are some open problems in archaeology?
What is astronomy? How are astronomical objects studied? What can we learn from astronomical observations? How do we construct an observatory? What are some projects to get started in astronomy? What are some open problems in astronomy?
What is atmospheric science? How is the atmosphere studied? What can we learn from atmospheric observations? How do we construct a weather station? What are some projects to get started in atomspheric science? What are some open problems in atmospheric science?
What is biomedical science? How do we study the human body? What can we learn by studying the human body? How do we construct a biomedical laboratory? What are some projects to get started in biomedical science? What are some open problems in biomedical science?
What is botany? How do we study plants? What can we learn from studying plants? How do we construct a botanical laboratory? What are some projects to get started in botany? What are some open questions in botany?
What is cell biology? How do we study cells? What can we learn by studying cells? How do we construct a cell biology laboratory? What are some projects to get started in cell biology? What are some open questions in cell biology?
What is chemistry? How do we study chemicals? What can we learn by studying chemicals? How do we set up a chemistry laboratory? What are some projects to get started in chemistry? What are some open problems in chemistry?
What is computer science? How do we study cmputational processes? What can we learn from studying computational processes? How do we set up a computer science laboratory? What are some projects to get started in computer science? What are some open problems in computer science?
What is electronics? How do we study electronic devices and systems? What can we learn from electronic devices and systems? How do we set up an electronic laboratory? What are some projects to get started in electronics? What are some open problems in electronics?
What is engineering science? How do we study engineering processes and systems? What can we learn from engineering processes and systems? How do we set up an engineering science laboratory? What are some projects to get started in engineering science? What are some open problems in engineering science?
What is environmental science? How do we study environmental systems? What can we learn from environmental systems? How do we set up an environmental science laboratory? What are some projects to get started in environmental science? What are some open problems in environmental science?
What is forensic science? How do we study crimes? What can we learn from crimes? How do we set up a forensic science laboratory? What are some projects to get started in forensic science? What are some open problems in forensic science?
What is general science? How do we study scientific processes and systems? What can we learn from scientific processes and systems? How do we set up a general science laboratory? What are some projects to get started in general science? What are some open problems in general science?
What is geology? How do we study planetary systems and processes? What can we learn from planetary systems and processes? How do we set up a geology laboratory? What are some projects to get started in geology? What are some open problems in geology?
What is hydrology? How do we study fresh water systems? What can we learn from fresh water systems? How do we set up a hydrology laboratory? What are some projects to get started in hydrology? What are some open problems in hydrology?
What is materials science? How do we study materials? What can we learn from materials? How do we set up a material science laboratory? What are some projects to get started in materials science? What are some open problems in materials science?
What is mathematics? How do we study mathematical systems? What can we learn from mathematical structures? How can we learn to apply mathematical structures? What are some projects to get started in mathematics? What are some open problems in mathematics?
What is microbiology? How do we study microbial organisms? What can we learn from microbes? How do we set up a microbiology laboratory? What are some projects to get started in microbiology? What are some open problems in microbiology?
What is military sciience? How do we study combat? What can we learn from combat? How do we set up a military science laboratory? What are some projects to get started in military science? What are some open problems in military science?
What is molecular biology? How do we study biological molecules? What can we learn from biological molecules? How do we set up a molecular biology laboratory? What are some projects to get started in molecular biology? What are some open problems in molecular biology?
What is physics? How do we study physical systems? What can we learn from physical systems? How do we set up a physics laboratory? What are some projects to get started in physics? What are some open problems in physics?
What is zoology? How do we study animals? What can we learn from animals? How do we set up a zoological laboratory? What are some projects to get started in zoology? What are some open problems in zoology?
Here are lists of topics for specific fields of study. Please understand that this is a work in progress and you may develop your own projects and topics with approval from the MAST board.
Archaeology: The scientific study of materials from past cultures.
Astronomy: The scientific study of the universe, its structure, and contents.
Atmospheric Science: The scientific study of the atmosphere.
Biomedical Science: The science of human biology and human disorders.
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.
Forensic Science: The scientific study of crime and criminal
evidence.![]()
General Science: This is a list of courses on scientific literacy and technique. This is not suitable for a major.
General Studies: This is a list of courses that do not fit anywhere else. This is not suitable for either a major or minor, but the courses may be interesting on an individual basis.
Geology: The scientific study of the earth.
History: The study of the past. This is not suitable for a major.
Humanities: The study of art, art history, classics, library studies, linguistics, music, mythology, religion, and theater/drama. This is not suitable for a major.
Hydrology: The scientific study of groundwater systems.
Languages: The study of human languages. This is not suitable for a major.
Literature: The study of fiction and writing, including comparative literature. This is not suitable for a major.
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.
Military Science: The science of military and naval operations.
Oceanography: The scientific study of oceanic systems.
Philosophy: The pursuit of wisdom. This is not suitable for a major.
Physics: The science of fundamental processes in the universe.
Social Studies: The study of people; including anthropology, business, communication, economics, education, geography, international studies, journalism, legal studies, political science, psychology, and sociology. This is not suitable for a major.
Zoology: The science of animals.
Elementary: These are the most fundamental of all scientific investigations. Here are some examples:
Intermediate:
Advanced: These are investigations of aspects of intermediate studies or applications of intermediate studies. Here are some examples:
Frontier: These are investigations of the cutting edge of research, also aspects of advanced studies or applications of advanced studies.
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