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Algebra

 Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.

Algebra I : CA Algebra I: Simplifying Expressions

By: Sal Khan

38-43, systems, binomial simplification

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra I : CA Algebra I: Quadratic Equation

By: Sal Khan

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra I : CA Algebra I: Quadratic Roots

By: Sal Khan

58-62, x-intercepts of a quadratic function

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : Algebra II: Probability and Statistics

By: Sal Khan

76-79, probability, mean, standard deviation

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : California Standards Test: Algebra II (Graphing Inequ...

By: Sal Khan

6-8 (understanding and graphing inequalities)

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : California Standards Test: Algebra II

By: Sal Khan

1-5, absolute value equations and systems of equations

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : Algebra II: binomial Expansion and Combinatorics

By: Sal Khan

65 (done another way) - 66, combinatorics and binomial expansions

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra I : CA Algebra I: Simple Logical Arguments

By: Sal Khan

14-20, simple logical reasoning

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : Algebra II: Functions and Probability

By: Sal Khan

70-75, functions and probability

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Old Algebra : Algebra: Linear Equations 3

By: Sal Khan

Linear equations with multiple variable and constant terms

Algebra I : CA Algebra I: Slope and Y-intercept

By: Sal Khan

27-32, figuring out the slope, y-intercept and equation of a line

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : Algebra II: Mean and Standard Deviation

By: Sal Khan

79-80, mean and standard deviation

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Algebra II : Algebra II: Functions, Combinatorics

By: Sal Khan

60-65, functions, combinations, probability

Sal works through California Standards Test problems. Whether you are in California and studying for that test or just want additional practice, this is a good place to review the major math concepts.

Introduction to Algebraic Topology and Algebraic Geometry

By: Genova

Description: This note provides an introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for doing research in algebraically integrable systems and in the geometry of quantum eld theory and string theory. Covered topics are: Algebraic Topology, Singular homology theory, Introduction to sheaves and their cohomology, Introduction to algebraic geometry, Complex manifolds...

Exploring the Extension of Natural Operations on Intervals, Matric...

By: Florentin Smarandache; W. B. Vasantha Kandasamy

This book extends the natural operations defined on intervals, finite complex numbers and matrices. Secondly the authors introduce the new notion of finite complex modulo numbers just defined as for usual reals. Finally we introduced the notion of natural product Xn on matrices. This enables one to define product of two column matrices of same order. We can find also product of m*n matrices even if m not does equal n. This natural product Xn is nothing but the usual prod...

In this chapter we just give a analysis of why we need the natural operations on intervals and if we have to define natural operations existing on reals to the intervals what changes should be made in the definition of intervals. Here we redefine the structure of intervals to adopt or extend to the operations on reals to these new class of intervals.

Multiplying monomials, binomials and polynomials in general : Mono...

By: Sal Khan, Monterey Institute for Technology and Education

Monomial Greatest Common Factor

Using polynomial expressions and factoring polynomials.

Dividing polynomials : Synthetic Division

By: Sal Khan

Basic algorithm for Synthetic Division

Using polynomial expressions and factoring polynomials.

Dividing polynomials : Synthetic Division Example 2

By: Sal Khan

Another example of applying the basic synthetic division algorithm

Using polynomial expressions and factoring polynomials.

Multiplying monomials, binomials and polynomials in general : Divi...

By: Sal Khan, Monterey Institute for Technology and Education

Dividing Monomials

Using polynomial expressions and factoring polynomials.

Dividing polynomials : Algebraic Long Division

By: Sal Khan

Dividing one polynomial into another

Using polynomial expressions and factoring polynomials.

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