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.
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
This
note covers the following topics: The Laws of Algebra, Coordinates,The Cartesian
Coordinate Plane, Graphs of Equations, Three Interesting Curves, Functions,
Function Notation, Linear and Quadratic Functions, Polynomial Functions,
Rational Functions, Function Composition, Exponential and Logarithmic Functions,
Systems of Equations, Sequences and Series, Complex Numbers and the Fundamental
Theorem of Algebra.
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.