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Calif. State Univ. East Bay (Mathematics)
Calif. State Univ. East Bay (Master's)
I'm Drew. I know I can help you learning mathematics, chemistry, physics, and music.
I am a master's candidate in Mathematics, awaiting my comprehensive exams. I offer tutoring in all levels of middle school, high school, and lower division college mathematics, as well as high school and lower division college physics and chemistry. I also minored in music, and can tutor music theory, trombone, guitar and voice training. I use a variety of approaches, suiting the learning style and needs of each student. I take time to get to know the students I work with, using their outside interests and backgrounds as a means of relating to topical material. The majority of students I tutor are involved in sports, and I use my knowledge of sports to relate subject matter to my students.
I work interactively with my students. I am especially good at working with students who are dyslexic, as I am mildly dyslexic myself, and completely understand how a dyslexic person sees the world.
Specific mathematics subject areas: Algebra I and II, Pre-Algebra, Geometry, Trigonometry, Pre-Calculus, Calculus including AP and multi-variable calculus, Infinite Series, Discrete Systems, Numerical Analysis, Probability, General Statistics including AP, and Linear Algebra.
Specific Music subject areas: Music Theory, Voice, Guitar, Trombone, Bass Trombone, Bass Guitar.
Specific Science subject areas: General Science, High School and Freshman College Chemistry, High School and Lower Division Physics, General Engineering, concepts in Civil and Mechanical Engineering.
If you live in East Contra Costa, Concord, Martinez, Pleasant Hill, or the eastern part of Walnut Creek, I can tutor you. Please contact me for schedule openings. I do NOT tutor on Saturdays (everyone needs a day off). Hello students!
I'm Drew. I know I can help you learning mathematics, chemistry, physics, and … Read more
Andrew has been giving AP calculus tuitions to my son who is in junior high. He is very patient with my son and has a very good sense of tutoring. He is all-inclusive in the method of teaching enabling my son to learn the concepts better. His articulate way of presenting and solving a problem gives a great deal of encouragement to my son, who is very comfortable with his teaching methods.
Drew identifies the needs of our son and utilizes his knowledge and skill to communicate on an understandable level. His patienece, techniques and methods are appreciated by our son who says he is able to learn and understand the school work significantly better than the instruction received at school.
Andrew is a good tutor who works really hard to find connections with my son in Physics. I overheard most of the 1st session and my son felt comfortable and felt he really learned a better understanding of Physics even in just the 1st visit. Andrew brings himself to what he does and it shows. We are grateful for his assistance.
Drew relates to my student and is able to help him focus on Geometry. My student continues to say that Drew is magic because he makes everything is clear.
He is patient with me and is willing to re teach some old algebraic steps that I had forgotten. He's also very punctual and organized with our meetings. Pre Calculus is a hard subject for me but with Drews help I am slowly getting better and understanding it more.
My son WAS struggling in Algebra 2 and is getting more confident daily. He really connects with Drew and has learned a lot. Drew is punctual and respectful.
Andrew is very detailed. He is able to explain concepts clearly and he gives examples and some practice sets for continuous repetition. I would recommend him to any of my friends who need help.
In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet approved in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.
This is a truncated description, which will be updated soon. I tutor all areas of Algebra I, including the following:
Principles of Algebra; Number Theory; Set Theory; Order of Operations; Solving one and two step equations; Graphs of Linear Equations; Inequalities, Graphing Inequalities; Solving Systems of Two Equations in Two Variables, using Substitution and Elimination; Rules of Exponents; Polynomials; Quadratic Equations and Graphing them; Factoring Simple Quadratics; Factoring Difficult Quadratics; Completing the Square; the Quadratic Formula; Use of the Discriminant; Practical Applications; Word Problems, including work problems, two vehicle problems, and mixture problems; Basic Statistics; Ratio and Proportion.
I tutor all areas of Algebra II, including: use of the graphing calculator; number systems, properties of numbers; algebraic expressions, functions, and their transformations; linear equations and inequalities; systems of linear equations in two and three variables; linear programming; matrices, Cramer's rule, augmented matrices, and row and column operations; quadratic functions and complex numbers with roots, graphs, modeling and curve fitting; higher order polynomials and factoring with roots, graphs and curve fitting; exponential, inverse, and logarithmic functions with modeling; direct variation, rational functions and radical functions; representations of functions, piecewise functions and inverse functions with modeling; conic sections (circle, ellipse, parabola, hyperbola) and solutions of non-linear systems; permutations, combinations, probability, statistics and binomial distributions; arithmetic, geometric and infinite sequences and series with recursive formulas; trigonometric and inverse trigonometric functions; the laws of sines and cosines and Heron's formula; graphing trigonometric functions; trigonometric identities, sum and difference angle formulas, half-angle and double angle formulas.
I tutor all areas of high school mathematics: Algebra Readiness, Algebra I, Geometry, Algebra II, Pre-Calculus, Calculus, and Statistics. Primary focus is on proper application of principles, sound basic math skills, logical reasoning, appropriate use of a calculator, graphing skills, and algebraic principles. I also address test taking strategies such as eliminating incorrect answers, substituting possible answers, and statistical analysis of answered versus unanswered questions.
Functions, modeling, and use of graphing calculators; Exponential Functions, Inverse Functions, and Logarithms; Limits, Calculating Limits, Limit Laws, Precise Definition of a Limit; Limits at Infinity; Tangents, Velocity, and Rate of Change; Definition of the Derivative; Derivative as a Function; Derivatives of Polyn9omial and Exponential Functions; Product Rule, Quotient Rule; Rate of Change; Chain Rule; Derivatives of Trigonometric Functions; Implicit Differentiation; Higher Derivatives; Derivatives of Logarithmic Functions; Related Rates; Linear Approximations and Differentials; Maxima and Minima; Rolle's Theorem, the Intermediate Value Theorem, the Mean Value Theorem; Using Derivatives to Determine the Shape of a Graph; Indeterminate Forms, l'Hopital's Rule; Curve sketching Graphing using Calculus with the Calculator; Optimization; Business and Ecmnomics Applications; Newton's Method; Antiderivatives; Areas and Distances; Riemann Sums; Indefinite Integrals and The Definite Integral; The Fundamental Theorem of Calculus; Trapezoidal Approximations; Simpson's Rule; The Substitution Rule; The Logarithm as an Integral; Areas between Curves; Volumes of Rotation and Cylindrical Shells; Work as an Integral; Average Value of a Function; Techniques of Integration, including Integration by Parts, Trigono9metric Integrals, Trigonometric Substitution, Partial Fractions, Strategies for Integration, Using Tables of Integrals, Approximation by Numerical Methods, Improper Integrals; Arc Length; Area of a Surface of Revolution; Application to Physics, Engineering, Economics, and Biology; Probability; Introduction to Differential Equations; Direction Fields; Euler's Method; Separable Equations; Exponential Growth and decay; Parametric Equations; Polar Coordinates, and Area and Length in polar Coordinates; Conic Sections; Infinite Sequences and series; The Integral Test; Comparison Tests; Alternating Series; Absolute Convergence; Ratio and Root Tests; STrategy for Testing Series for Convergence; Power Series and Function Representation; Taylor and MacLaurin Series; The Binomial Series; Multivariable Calculus; Partial Derivatives; Gradients, Multiple Derivatives, Hessians; The Spherical Integral; Double and Triple Integrals.
Students who need a refresher in topics from pre-calculus will be assisted, especially with regard to Graphical Techniques, Inverse Functions, and all aspects of Trigonometry.
I tutor all areas of high school chemistry, including honors chemistry, as well as lower division college general and honors chemistry. I cover the following topics:
Alchemy; matter, properties of elements, physical changes in chemistry; periodic table and element names; scientific method; measurements and conversion units, calculations, graphing, scientific notation, significant figures; atomic theory, atomic mass, isotopes, moles, simple compounds; quantum theory, electron shells and orbitals, Pauli exclusion principle, Heisenberg uncertainty principle, emission spectra; periodicity, groups of elements, chemical properties of elements, electron affinity, ionization energy; covalent bonding, ionic bonding, metallic bonding, hydrogen bonding; resonance structures, Lewis electron dot structures,molecular geometry; chemical names, formulas, ionization and oxication states; chemical reactions and chemical equations; mole ratios, molar masses, conversions, limiting reactants, and percent yield; gases, gas theory; Boyle's Law, Charles' Law, Dalton's Law, Ideal Gas Law; mixtures of gases, gases in chemical reactions; properties of solids and liquids, changes of state, crystalline structure; chemical solutions, solubility, effects of temperature and pressure; electrolytes, dissociation, ionization, precipitation, and colligative properties; theories of acids and bases, Arrhenius acids and bases, Bronsted-Lowry acids and bases, Lewis acids and bases; neutralization reactions, pH, titrations; heats of reaction, enthalpy, entropy, reaction rates, reaction mechanisms; chemical equilibrium, ionization constants, calculations involving buffers and solubility; oxidation-reduction reactions, electrochemistry; carbon-based compounds, carbon allotropes (graphite and diamond); classification and functional groups of organic compounds; nuclear reactions, radioactive decay, radiation, fission, and fusion.
I tutor all areas of elementary school math, which includes the following:
Counting, addition, subtraction, multiplication, division; geometric shape recognition, pattern recognition; elementary fractions; measurement; number systems; special properties of numbers and basic number theory; graphing; using tables to sort data; elementary statistics (finding range, mean, median, and mode); adding and subtracting fractions using lowest common denominator.
I tutor all areas of high school and college geometry, including the following: points, lines, planes, and angles; measure, congruency, angle pairs; formulas; inductive and deductive reasoning; conditional and biconditional statements; logic, algebraic proof, geometric proof; parallel, perpendicular, intersecting and coinciding lines; angle congruency postulates and theorems; equations of lines, slope-intercept form, point-slope form, two-point form*; triangle types, congruency, SSS, SAS, ASA, AAS, HL, HA, special triangles; perpendicular and angle bisectors, medians, and altitudes of triangles; circumcenter, incenter, centroid, and orthocenter; midsegment theorem; indirect proof (proof by contradiction); triangle inequality theorem; right triangles, Pythagorean theorem, special cases; properties of polygons; parallelograms, rhombii, rectangles, squares; kites and trapezoids, midsegment theorem; ratio and proportion; ratio in similar polygons and triangles (scale factor); porperties of similar triangles, porportionality, similarity in the coordinate plane; similarity in right triangles, basic definitions in trigonometry, solving right triangles; angles of elevation and depression; law of sines, law of cosines, Heron's law*; vectors; area and perimeter formulas; composite figures; perimeter and area in the coordinate plane; effects of changing dimension; geometric probability; solid geometry, isometric, orthographic, and perspective drawings; formulas in three dimensions; surface area and volume of solids; tangents, chords, secants, arcs, and sectors of circles; inscribed angles, angle and segment relationships in circles; circles in the coordinate plane; rigid transformations (translations, rotations, reflections), compositions of transformations; symmetry; tesselations; dilations; introduction to trigonometry*.
*These three topics (two-point form of a line, Heron's law, and trigonometry) are not covered in all geometry texts or courses. I offer them to aid students in various aspects of solving problems.
I am rated as highly qualified in MS Excel with several temporary employment services, and have thorough knowledge of the following areas: cell references, cell formatting, establishing borders and backgrounds; page set-up, formatting headers, footers, margins, repeated lines for printing, print presentation; editing by single cells, blocks or filling, formulas; constructing charts and graphs; statistical spreadsheets, analysis, and graphs.
Topics include but are not limited to the following: basic notation, treble clef, bass clef, and the grand staff; sharps, flats, and accidentals; key signatures, circle of fourths, circle of fifths, mnemonics for memorizing key signatures; major keys, minor keys, relative minor, parallel minor; the melodic, harmonic, and double harmonic minor scales; church modes, and their use in modern music; tonics and harmonics, partials and harmonically related tones; chord structures, 5-3 chords, 6-3 chords, 6-4 chords, diminished chords; how chords can relate to each other; parallel fifths and eighths and why they are considered taboo; seventh chords and the dominant; dominant-dominant chords; the German sixth, French sixth, and Italian sixth chords; ninth and eleventh chords; 20th century music, techniques of Debussy, block chords, and parallel chords; pentatonic scales, octatonic scales, twelve-tone scales, and combinatorics; basics of counterpoint and its relationship to melodic form in modern music.
I tutor the following areas in Physics: measurement, units, unit conversion, scientific notation, significant figures; motion in one dimension, position, velocity, acceleration; Newton's laws of motion; falling objects, motions in two dimensions, introduction to vectors; force and its relationship to acceleration; vector analysis of forces, gravitational force, normal force, trigonometric solution of forces, frictional force, free body diagrams; impulse and momentum; potential energy and kinetic energy; work, power and their relationship to energy; circular motion, analysis of forces in circular motion; wave motion; elementary electrical theory, voltage, current, resistance, Ohm's law, power in electrical circuits; capacitance and inductance; parallel and series circuits, solution of branched circuits; electromotive force and electromagnetism; light, wavelength, frequency, energy, reflection, refraction, speed of light in vacuum and in various media, diffraction; thermodynamics, heat cycles, engine cycles.
I cover all areas of prealgebra, including the following: Basic principles, Commutative Law, Associative Law, Distributive Law; Integers and Basic Operations, Addition, Subtraction, Multiplication, Division; Use of Exponents, Laws of Exponents; Order of Operations; Rational Numbers; Irrational Numbers; Collecting, displaying and Analyzing Data; Elements of Plane Geometry, Perimeter, Area, and Volume; Ratios, Proportions, and Similarity; Percentage, using Percentage as a Proportion; Probability; Equations, Inequalities, and Graphing; Sequences; Functions; Polynomials; Set Theory; Discrete Math.
real numbers, relations, and functions, mathematical patterns, arithmetic sequences; lines, linear models, geometric sequences, infinite geometric series; solving equations graphically, solving quadratic equations algebraically; applications of equations, other types of equations; inequalities; functions, graphs of functions, quadratic functions; graphs and transformations, operations on functions, inverse functions, rates of change; polynomial functions, real zeros, graphs of polynomial functions; rational functions; complex numbers; the Fundamental Theorem of Algebra; radicals and rational exponents, exponential functions with applications; common and natural logarithmic functions, properties and laws of logarithms, solving exponential and logarithmic equations; exponential, logarithmic, and other models; right-triangle trigonometry, trigonometric applications, angles and radian measure trigonometric functions, basic trigonometric identities; graphs of the sine, cosine, tangent, cosecant, secant, and cotangent functions, periodic graphs, amplitude and phase shifts; graphical solutions to trigonometric equations, inverse trigonometric functions, algebraic solutions of trigonometric equations, simple harmonic motion and modeling;
identities and proofs, addition and subtraction identities, other identities, using trigonometric identities; the laws of cosines and sines; the complex plane and polar form for complex numbers, DeMoivre’s theorem and nth roots of complex numbers; vectors in the plane with applications; ellipses, hyperbolas, translations and rotations of conics; polar coordinates, polar equations of conics, plane curves and parametric equations; solving systems of equations, matrices, matrix operations; matrix methods for square systems, nonlinear systems; basic statistics, measures of center and spread; basic probability, determining probabilities, normal distributions; limits of functions, properties of limits, the formal definition of limit, continuity, limits involving infinity; preview of calculus, basic ideas of the derivative and the integral.
While SAT Math skills include many areas of geometry, algebra I and II, and pre-Calculus, I tend to focus on problem solving strategies as an approach to the SAT. Primarily, I instruct on how certain classes of problems lend themselves to elimination of the incorrect answers, and how certain classes of problems rely on actual skills from high school math courses. I spend almost no time duplicating the efforts of high school math courses; in solving example problems, I go through the problems about as quickly as a well prepared student would. If during the course of tutoring I discover that a student has obvious deficiencies in knowledge that might prevent him or her from obtaining an excellent score on the SAT Math, that is, 600 or better, I can, of course, begin to tutor to overcome those deficiencies. My recommendation at that point would be for the student to postpone taking the SAT until the deficiencies have been corrected.
Interpretation and presentation of data in graphs and tables; mean, median, mode, quartiles, variance, standard deviation; Normal distribution, density curves, empirical rule; Scatter plots and correlation; regression; Marginal distributions, conditional distributions, Simpson's paradox; Sampling, creating experiments, interpreting experiments; Probability, randomness, probability rules, probability models, random variables; combinatorics; Sampling distributions, x-bar, the central limit theorem; Rules of probability, independence and multiplication, conditional probability; Binomial distribution, binomial probability, binomial mean and standard deviation; confidence intervals; testing significance and p-values, tests for a population mean; inference, z-tests; one and two sample t-tests; population proportions, significance tests for proportions; two-variable statistics, chi-square test, z test, good ness of fit; the regression model and inference.
I tutor all aspects of plane trigonometry, including the following: review of coordinate geometry; polar coordinate system and radian measure; standard position of an angle; basic trigonometric definitions (sine, cosine, tangent, cotangent, secant, cosecant); relationships and signs of trig. functions; quadrantal angles; functions of negative angles; the right triangle and solutions thereof; values of trig. functions; fundamental identities; graphs of trig. functions; sum and difference formulas, double angle and half angle formulas; exponential and logarithmic functions; oblique tirangles; law of sines, law of cosines, Heron's law; inverse trig. functions; trig. equations; vectors; complex numbers and the complex plane; DeMoivre's theorem.
This subject matter is often tutored within the larger scope of a high school pre-calculus course. I am fully capable of tutoring all aspects of pre-calculus, but it is beyond the scope of this description to be included.