This PDF Lectures covers the following topics related to Elementary
Algebra : Foundations, Solving Linear Equations and Inequalities, Math Models,
Graphs, Systems of Linear Equations, Polynomials, Factoring, Rational
Expressions and Equations, Roots and Radicals, Quadratic Equations.
Author(s): Lynn Marecek, Santa Ana College, Maryanne Anthony-smith,
Santa Ana College, Andrea Honeycutt Mathis, Northeast Mississippi Community
College
This note covers some
algebra, Algebraic sets, More algebra, Halbert’s nullstellensatz, Topology of
affine algebraic sets, A brief detour into plane curves, Quasiprojective
varieties, Plane projective curves and bezouts theorems.
This PDF Lectures covers the following topics related to Elementary
Algebra : Foundations, Solving Linear Equations and Inequalities, Math Models,
Graphs, Systems of Linear Equations, Polynomials, Factoring, Rational
Expressions and Equations, Roots and Radicals, Quadratic Equations.
Author(s): Lynn Marecek, Santa Ana College, Maryanne Anthony-smith,
Santa Ana College, Andrea Honeycutt Mathis, Northeast Mississippi Community
College
The contents include:
Preliminaries About the Integers, Polynomials, and Matrices, Vector Spaces Over
Q, R, and C, Inner-product Spaces, Groups and Group Actions, Theory of a Single
Linear Transformation , Multilinear Algebra, Advanced Group Theory, .
Commutative Rings and Their Modules, Fields and Galois Theory, Modules Over
Noncommutative Rings.
The contents include: Mathematical Notation and Symbols, Indices,
Simplification and Factorisation, Arithmetic of Algebraic Fractions, Formulae
and Transposition.
Author(s): HELM, Mathematics Education Centre, Loughborough
University
The contents
include: Basic Algebraic Structures, The Integers, Other Examples of Rings,
Quotients and Isomorphisms, Finite Groups, Modules, Galois Theory, Commutative
Algebra, Set Theory.
Author(s): Rui L. Fernandes, University of Illinois
at Urbana-Champaign, Manuel Ricou, Instituto Superior Tecnico
This note covers the following topics: Symbolic
Expressions, Transcription of Verbal Information into Symbolic Language, Linear
Equations in One Variable, Linear Equations in Two Variables and Their Graphs,
Simultaneous Linear Equations, Functions and Their Graphs, Linear functions and
proportional reasoning, Linear Inequalities and Their Graphs, Exponents,
Quadratic Functions and Their Graphs, The Quadratic Formula and Application.