I realized I wanted to teach math when I was 15 years old; it was easy for me to learn the techniques and ideas. I wanted to share the world of math and numbers to help others realize their importance. I taught math for 28+ years to 9-12 students, which includes the topics of alg. I, alg. II, geometry, pre algebra, basic math, and trig. I am very capable of tutoring calculus, discrete math, probability, and statistics. I use all techniques available to enhance the learning process; I try to make it fun and interesting; computers, puzzles, group-team teaching, question and answer, lectures, quick quizzes, essay, and researching are the most successful strategies I have used. Math can be frustrating; however, I make it exciting, easy, and significant. I have tutored many students over the years and have had great success at their learning and enjoying the world of mathematics. Most people love some kind of activity such as television, music, video/computer games, you tube; but me, I love math and desire to help those who are frightened or disheartened by the word math.

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Jimmy's subjects

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Algebra 1

Topics include real numbers and alg expressions, solving simples equations, inequalities and absolute value and their equations, linear equations and their graphs; systems of linear and inequality equations, exponents and polynomials, relations, functions and quadratic equations, rational & radical expressions & equations, and word problems throughout.

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Algebra 2

Topics include equations and inequalities; linear equations and functions; systems of linear equations and inequalities; matrices and determinants; quadratic functions; polynomial and their functions; powers, roots, and radicals; exponential and logarithmic functions; rational equations and functions; quadratic relations and conic sections; sequence and series; probability and statistics; and trig ratios, functions, graphs, identities and equations.

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Calculus

Topics include Real and Hyper-real Numbers; Differentiation; Continuous Functions; Integration; Limits, Analytic Geometry, and Approximations; Applications of the Integral; Trigonometric Functions; Exponential and Logarithmic Functions; Infinite Series; Vectors; Partial Differentiation; Multiple Integrals; Vector Calculus; and Differential Equations.

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Geometry

Topics include basic shapes and angles (definitions and examples); parallel and transversals; polygons (triangles, quadrilaterals, etc.); circles; area and volume; proofs (theorems and corollaries); perimeter and circumferences; similarity and congruence; prisms, cylinders, cones, and spheres; surface area; Pythagorean theorem; constructions; and word problems.

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Prealgebra

Topics include expressions and integers; solving one, two, and multiple step equations & inequalities; working with decimal, fraction, and percent and their equations; factors and exponents; ratio and proportions; linear functions and graphs; simple area and volume; right triangles; data analysis & simple probabilities; nonlinear functions and polynomials; spatial thinking(symmetry, congruence, similarity, classifying triangles, and simple constructions); and word problems throughout.

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Precalculus

Topics include Number Systems and Equations and Inequalities of One Variable; Introduction to Equations and Inequalities of Two Variables; Relations, Functions, and Their Graphs; Polynomial Functions; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities and Equations; Conic Sections; Systems of Equations; An Introduction to Sequences, Series, Combinations, and Probability; and Vectors and Polar Coordinates.

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Probability

Topics include discrete distributions; continuous probability densities; permutations and combinations; conditional probability; distributions and densities; expected value and variance; sums of random variables; law of large numbers; central limit theorem; generating functions; markov chains; and random walks.

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