Algebra 1
For Algebra I students, especially GRE and ASVAB test prep students, I use a Cliff's guide book which also includes a summary of all the basic pre-algebra concepts such as number theory, operations, powers and exponents, squares, cubes and roots, signed numbers, fractions and percents.
The guide then goes on to cover sets, equations, ratio and proportion, factoring, and algebraic fractions. The next sections cover inequalities, graphing, absolute value, coordinate geometry, domain and...
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Algebra 2
As an engineer, inventor and independent researcher in the field of investing and macroeconomics, I have used and still frequently use algebra and trigonometry to solve interesting real world problems. Thus, when I first joined this site in late Sept. of 2012, I passed the qualifying tests all the way through pre-calculus and physics fairly easily.
However, I did have some memory holes in some advanced topics, so I spent quite a bit of time reviewing my college textbooks and even purchased...
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Geometry
When I first joined this site in September of 2012 I purchased a study guide in order to refresh my memory on all topics that may come up in a formal class in geometry. I worked through every problem and went above and beyond what was presented in the proofs in order to deepen my knowledge of the subject.
I added many extra proofs and in-depth analyses of some topics to the math study guides I am creating for students preparing to take various standardized tests in which an understanding...
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Physics
When I first signed up for this site, I realized that I had some some catching up to do on many physics topics, so I completed a review of my non-calculus based college text which covered everything from classical mechanics to quantum physics and relativity.
For the past several months I have been doing a more rigorous investigation by working through some newer calculus and physics for engineers and scientists textbooks, so I feel confident now in tutoring AP physics B and AP calculus...
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Prealgebra
I am qualified to teach geometry, algebra I, and algebra II, and in the process I have gone back to review every lower level topic that may have fallen down the memory hole. Therefore, I am very qualified to tutor pre-algebra.
Precalculus
In addition to tutoring high school students with standard and "Core Mathematics Plus" curricula, I have spent a lot of time reviewing a couple different calculus books (one with a supplemental emphasis on applied calculus and use of the latest graphing calculators) and also some calculus based physics texts in order to expand my client base to more advanced college level calculus and engineering physics students. These books require a solid foundation of pre-calculus topics including advanced...
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Trigonometry
As an engineer, inventor and independent researcher in the field of investing and macroeconomics, I have used and still frequently use algebra and trigonometry to solve interesting real world problems. Thus, when I first joined this site in late Sept. of 2012, I passed the qualifying tests all the way through pre-calculus and basic physics fairly easily.
However, I had forgotten some of the more esoteric trig identities, so I spent some time reviewing my college textbooks to relearn...
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Writing
I have been an active writer throughout my professional career and personal life. As an engineer, I was often tasked with writing technical documents and presentations or summaries for management. I have published two scientific papers in journals and won an award for best presentation at an artificial intelligence symposium in Las Vegas, Nevada, in 1995. I have also been a member of and regular contributor to an on-line research and investing site for 13 years where I have published a few articles...
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Astronomy
I have been fascinated with space and astronomy since the late Apollo Era, which I still remember vividly as a child. Since then, I have absorbed anything and everything I could read about space exploration and cosmology. Now, my ultimate goal is to design a revolutionary new rocket that will be an order of magnitude more efficient and less expensive than current "giant tube" designs that are literally 70 years old.
I also have designs for rocket engines that are currently based on...
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Geography
I just love maps, and to travel across space and time via Google Earth and history books.
I have also physically traveled to every state except Alaska and Hawaii, and also to some foreign countries like England, South Africa, Australia and of course Canada and Mexico.
SAT Math
Every test guide will tell you that a big part of taking a standardized test is knowing HOW to take the test. This is very important because your two biggest enemies are mental fatigue and time management. You must have the confidence to attack each math problem presented and the mental stamina to stress your brain for three hours straight without making silly, careless errors which this test is designed to let you make. This challenge may be the most difficult and is often overlooked as part...
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World History
I have a big interest in World History and I often watch documentaries - everything from ancient Mesopotamia to recent conflicts in that same area. I am also interested in the deeper meaning of history beyond dates and events. E.g., I understand the "why's" and "how's" of many cultures, religions and nation states in addition to the "who's and "when's".
I also have a few World History books to use as reference including a college text and a complete timeline that correlates historical...
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GRE
See descriptions for English, Geometry, Algebra and Algebra II first, as these are directly applicable to this subject description.
I have two Princeton Review guides to aid in studying for the GRE: "Cracking the GRE: 2013" and "1,014 GRE Practice Questions" (3rd Ed). I am also making my own supplemental guide for the math sections because I've found these books to be lacking in creativity and robustness. I say this because doing well on the math sections requires three things: a thorough...
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Physical Science
I have just completed a thorough review of Barron's "Earth Science Study Guide" in order to refresh my memory and solidify my knowledge base of all Earth Sciences that may be found in high school level science classes or on the ACT and ASVAB exams. The book was separated into sections covering the Lithosphere, Biosphere, Cryosphere, Hydrosphere and Atmosphere, and discussed interactions between all of these in a comprehensive way.
The book also introduced some basic Astronomy, but my...
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ASVAB
I am quite familiar with this test now and have direct experience tutoring other students. It is exactly the sort of general knowledge test that I excel at because I have experience teaching the core math and English sections. Plus, my experience as an inventor and engineer includes practical knowledge of many general and applied science, physics and mechanical engineering type questions - I have experience with metal working and machining, power systems (motors, generators, batteries and transmission...
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PSAT
The PSAT is simply a less rigorous standardized test taken prior to a full SAT. The math sections are roughly equivalent in difficulty to the ASVAB, so a thorough knowledge of pre-algebra is needed, and a good knowledge of algebra 1 and geometry is required to score well on the math sections.
A student needs to have a good knowledge of grammar and fairly advanced vocabulary to score really well on the verbal sections however, so reading a lot and increasing your vocabulary is critical...
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ACT English
Throughout my life I have accumulated quite a large vocabulary and honed my grammar skills through abundant writing and intellectual conversation. To supplement these life skills, I have recently completed reading two reference books which cover the more technical aspects of the English language such as sentence structure, word definitions and usage and common grammatical errors.
My reading comprehension, logical deduction and inference skills are also good-to-excellent, and I have...
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ACT Math
Every test guide will tell you that a big part of taking a standardized test is knowing HOW to take the test. This is very important because your two biggest enemies are mental fatigue and time management. You must have the confidence to attack each math problem presented and the mental stamina to stress your brain for three hours straight without making silly, careless errors which this test is designed to let you make. This challenge may be the most difficult and is often overlooked as part...
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ACT Science
Physics and physical science are my strengths, and I am fairly knowledgeable in biology and chemistry. However, I intend to study more on these latter subjects to eliminate even these minor weaknesses because my goal here is to become the best and most knowledgeable tutor possible for this test.
My particular fields of interests and knowledge are: Astronomy and cosmology, nuclear science and radiation, geology and geography, climatology and weather, paleo-history, anthropology and genetics,...
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