Description:
Algebraic expressions and equations; solution sets of algebraic equations in one variable; linear, quadratic, polynomial of degree n, fractional, radical equations, quadratic in form, exponential and logarithmic equations; decomposition of fractions into partial fractions; solution sets of systems of linear equations involving three variables.
Overview:
Algebra is one of the broad areas of mathematics. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.
Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. The origins of algebra can be traced to the ancient Babylonians, who developed a positional number system that greatly aided them in solving their rhetorical algebraic equations (Wikipedia, n.d.).
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Topics:
1. The Set of Real Numbersa. Integer, Exponents
b. Polynomials, Operations, Special Products
c. Binomial Expansion (Binomial Theorem)
d. Factoring Polynomials
2. Rational Expressions
a. Rules of Exponents; Simplification of Rational Expressions;
Operations on Rational Expressions
b. Properties of Radicals; Simplification of Radicals
c. Operations on Radicals
d. Complex Numbers
3. Equations in One Variable
a. Linear Equations; Literal Equations
b. Quadratic Equations in One Variable
c. Word Problems
d. Other Equations in One Variable: Radical, Fractional, Quadratic in Form
e. Polynomial Equation of Degree n
4. Functions
a. Inverse Functions
b. Exponential and Logarithmic Functions
c. Exponential and Logarithmic Equations
5. Systems of Linear Equations (by Elimination Methods)
6. Decomposition of Rational Expressions into Partial Fractions
b. Properties of Radicals; Simplification of Radicals
c. Operations on Radicals
d. Complex Numbers
3. Equations in One Variable
a. Linear Equations; Literal Equations
b. Quadratic Equations in One Variable
c. Word Problems
d. Other Equations in One Variable: Radical, Fractional, Quadratic in Form
e. Polynomial Equation of Degree n
4. Functions
a. Inverse Functions
b. Exponential and Logarithmic Functions
c. Exponential and Logarithmic Equations
5. Systems of Linear Equations (by Elimination Methods)
6. Decomposition of Rational Expressions into Partial Fractions
PDF Materials (E-Books):
(1) [TITLE]
by [Author(s)]
File Size: [## MB] | Page Count: [PP]
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