This is an outline of topics covered. Additional Topics can be requested by a student. Programs will be customized for the individual student. |
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| Algebra I |
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Number Theory |
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Squares and Square Roots |
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Cubes and Cube Roots |
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Exponents and Radical |
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Polynomials |
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Algebraic Identities |
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Factorization |
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Linear equations and Linear Algebra |
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Quadratic Equations |
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Inequalities and |
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Solving Simple and Modulus Inequalities |
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Mathematical Induction |
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Ratio and Proportion |
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| Algebra II |
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Logarithms |
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Complex Numbers |
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Binomial Theorem |
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Set Theory And Set Operations |
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Ordered Pairs, Relations, Mapping |
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Determinants |
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Matrices |
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Arithmetic Progression |
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Geometric Progression |
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Harmonic Progression |
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Permutations And Combinations |
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Probability |
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| Geometry |
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Parallel Lines and Transversal |
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Triangles congruency and similarity |
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Proving triangles to be congruent or similar |
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Pythagorean Theorem |
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Perimeter, circumference, area, volume, lateral area, and surface area |
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Basic constructions using compass and straightedge |
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Coordinate Geometry, midpoint of a line segment, the distance formula, equations of lines and circles |
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| Linear Algebra |
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Linear Equations. |
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Introduction To Matrix |
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Solving Systems of Equations using Matrices |
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Gauss Jordan Elimination |
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Cramer's Rule |
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Vectors |
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| Calculus |
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Limits |
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Definite Integrals |
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Differential Calculus |
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Ordinary Differential Equations |
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Integral Calculus |
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| Trigonometry |
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| Probability |
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| Statistics |
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