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.
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.
53-57, Quadratic Equation
58-62, x-intercepts of a quadratic function
76-79, probability, mean, standard deviation
6-8 (understanding and graphing inequalities)
1-5, absolute value equations and systems of equations
65 (done another way) - 66, combinatorics and binomial expansions
14-20, simple logical reasoning
70-75, functions and probability
Linear equations with multiple variable and constant terms
27-32, figuring out the slope, y-intercept and equation of a line
79-80, mean and standard deviation
60-65, functions, combinations, probability
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...
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.
Monomial Greatest Common Factor
Using polynomial expressions and factoring polynomials.
Basic algorithm for Synthetic Division
Another example of applying the basic synthetic division algorithm
Dividing one polynomial into another