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Algebra 1

Common topics in this subject which I have tutored include: real numbers, solving linear equations, graphing relations and functions, analyzing linear equations, solving linear equalities, solving systems of linear equations and inequalities, polynomials, factoring quadratic and exponential functions, radical expressions and triangles, radical expressions and equations, basic statistics and probability. I am over-qualified to tutor this subject because I was a New York state certified high school...
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Algebra 2

Topics which I have tutored for algebra 2 include: first degree equations and inequalities, linear relations and functions, systems of equations and inequalities, matrices, polynomials, quadratic functions and inequalities, polynomial functions, conic sections, rational expressions and equations, exponential and logarithmic relations, sequences and series, probability and statistics, trigonometry functions, trigonometric graphs and identities. I am overqualified to tutor this subject area because...
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Biology

Subject area includes: acids and bases, pH scale, cell structure, photosynthesis, respiration, chromosomes, cell reproduction, meiosis, sexual reproduction, heredity, DNA, protein synthesis, gene technology, history of life on Earth, evolutionary theory, human evolution, populations, ecosystems, biological cummunities, human impact on the environment, kingdoms, viruses, bacteria, protists, fungi, plants, invertebrates, vertebrates, human body structure and systems and more...

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Calculus

Subject area includes: Cartesian plane, graphs of equations, functions, limits, techniques for evaluating limits, continuity, infinite limits, delta-epsilon definition of limits, derivative and tangent line problem, velocity, acceleration and other rates of change, differentiation rules for constant multiples, sums and powers, differentiation rules for products and quotients, extrema on an interval, the Mean Value Theorem, increasing and decreasing functions and first derivative test, concavity...
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Chemistry

Topics that could be covered would include matter and measurement, atoms, molecules and ions, periodic properties of the elements, basic concepts of chemical bonding, stoichiometry, electronic structure of atoms, ideal gases and gas laws, acids and bases, electrochemistry, nuclear chemistry, and properties of solutions.

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Microsoft Excel

Microsoft Excel is perfect for making spreadsheets of all different sorts. I have experience from while I was completing my master's degree in education AND from my current occupation as a teacher. For example, I currently use a Microsoft Excel Spreadsheet to keep data for a point "levels" system which assesses students' behavior during classtime. This Excel Spreadsheet is updated by me weekly. Many countless uses for spreadsheets come up on the job for recording and keeping data.

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Geometry

Subject areas include: inductive reasoning, biconditionals, deductive reasoning, methods of direct and indirect proof, postulates and proofs, equivalence relations, simple angle theorems, congruent polygons and corresponding parts, proving triangles congruent using two pairs of sides and included angle (SAS), proving triangles congruent using two pairs of angles and included side (ASA), proving triangles congruent using three pairs of congruent sides (SSS), isosceles triangles, equilateral triangles,...
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Physics

Subject areas include: Kinematics in one and two dimensions, forces and Newton's Laws of Motion, dynamics of uniform circular motion, work and energy, impulse and momentum, rotational kinematics, rotational dynamics, simple harmonic motion and elasticity, fluids, temperature and heat, heat transfer, ideal gas laws and kinetic theory, thermodynamics, waves and sound, principle of linear superposition and interference phenomena, electric forces and electric fields, electric potential energy and...
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Prealgebra

Topics in this subject area which I have tutored include: integers, equations, factors and fractions, rational numbers, ratio, proportion and percent, equations and inequalities, functions and graphing, real numbers and right triangles, two dimensional figures, three dimensional figures, basic statistics and probability, polynomials and nonlinear functions. I am overqualified to teach this level (prealgebra) as I have tutored many 8th grade level students during my time as a tutor when I was a...
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Precalculus

Topics which I have tutored concerning the subject of pre-calculus include: functions, equation theory, matrices, vectors, trig. functions, inverses of trig. functions, applications of trig. functions, sequences, series, polar coordinates, complex numbers, exponential and log functions, conics, probability, limits, derivatives and epsilon delta proofs. I am plenty qualified in tutoring precalculus in that I was a certified New York state high school math teacher for 10 years (1995-2005) and as...
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Trigonometry

Subject area includes: arcs, angles, chords, inscribed angles and their measures, angles formed by tangents, secants and chords, absolute value equations, absolute value inequalities, roots and radicals, simplifying a radical, arithmetic of radicals, rationalizing a denominator containing a radical, quadratic formula, quadratic equations with real roots, line reflections, point reflections, translations, rotations, dilations, relations, functions, composition of functions, compositions with transformations,...
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Statistics

Subject area includes: the summation symbol, measures of central tendency, range, mean, absolute deviation, standard deviation, normal distribution, grouped data, measures of location, measures of variability, random variables, probability distributions for discrete random variables, expected values of discrete random variables, binomial probability distribution, hypergeometric and negative probability distributions, Poisson Probability Distribution, Gamma Distribution and its relatives, other...
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Physical Science

This subject entails the science of basic physics and chemistry at the middle school and early high school level. The math level needed involves basic algebra formulas and arithmetic used to solve appropriate word problems. Topics include: the properties, classification and structure of matter, the use of the periodic table and the laws and facts for using it as a reference, chemical bonding, chemical reactions, forces and motion, forces in fluids, Bernoulli's Principle, work, power and simple...
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Discrete Math

I majored in math in college and have experience with linear algebra, number theory and logic and could help a perspective student taking courses in this realm who might be involved with writing proofs of this nature.

Discrete math involves the study any form of analytical math outside of the realm of continuous variables as one would see with function theory and the calculus. It is basically a subcategory which concerns logic, set theory, number theory, linear algebra, combinatorics,...
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Differential Equations

Topics include solving first order equations that don't involve terns in y, and first order equations that do involve terms in y, using integrating factors,second order differentials, homogeneous higher order differential equations, nonhomogeneous linear higher order differential equations, using power series to solve ordinary differential equations, solving diffequations with series solutions near singular points, Laplace Transforms, and solving systems of linear first order equations.

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Linear Algebra

I have taken a few upper division level college Linear Algebra courses at SUNY at Stonybrook. I received a a B and B+ in the classes which I took. Seeing as though I majored in mathematics, I was required to take Linear Algebra, Abstract Algebra and Number theory courses there which exclusively use matrices and linear dependence and show how these subjects are used in vector calculus and differential equations.

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Logic

Basic Logic Skills are crucial for understanding Euclidean Geometry proofs and for understanding Venn Diagrams in Probability and in Computer Science. I have taught and tutored logic at the high school level as it is part of the standard math curriculum in both NY state and CT. As a math major in college (Although as a course for math majors, it was an elective which I did not take.), I was required to know logic for the first chapter in multiple upper division mathematics classes such as Abstract...
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Praxis

As a requirement during grad school toward getting my MA, I had to take the math Praxis and passed it the first time I took it and scored fairly well without ever cracking open a book. I have an extensive background in mathematics and am proficient in test taking strategies of government tests such as SAT, ACT math and the Praxis. If I tutored you, we would use a Praxis review book and do a host of problems together from a variety of math subject areas which are covered on the Praxis test.

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Electrical Engineering

As a mechanical engineering student, and as a straight physics student, I have had some experience solving problems concerning electricity, electric potential energy, electrical circuits, electromagnetic induction, alternating current circuits and electromagnetic waves. I have experience solving circuit problems for series, parallel and combination circuits using Kirchoff's Rules and with calculation of capacitor discharges, resistivity, impedance, inductance...you name it. I can help you with...
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Mechanical Engineering

Before I chose my original college route of becoming a math major for my first degree at SUNY at Stonybrook, I originally completed the first two years of undergraduate Mechanical Engineering Classes at a community college and was accepted into Stonybrook University as a 3rd year Mechanical Engineer. Once I became enrolled there, I switched my interest to a straight mathematics degree. I originally liked math much more than physics. It wasn't until I went back to school many years later at Boston...
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