College Algebra Course Structure
ALGEBRAIC OPERATIONS: 25%
An algebraic operation is any one of the traditional operations of arithmetic which are addition, subtraction, multiplication, division, raising to an integer power and taking roots (fractional power).
- Factoring and expanding polynomials
- Operations with algebraic expressions
- Operations with exponents
- Properties of logarithms
EQUATIONS AND INEQUALITIES: 25%
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other.
- Linear equations and inequalities
- Quadrarix equations and inequalities
- Absolute value equations and inequalities
- Systems of equations and inequalities
- Exponential and logarithmic equations
FUNCTIONS AND THEIR PROPERTIES: 30%
An algebraic function is a function that can be defined as the root of a polynomial equation.
- Definition and interpretation
- Representation/modeling (graphical, numerical, symbolic, and verbal representations of functions)
- Domain and range
- Algebra of functions
- Graphs and their properties (including intercepts, symmetry, and transformations)
- Inverse functions
NUMBER SYSTEMS AND OPERATIONS: 20%
A number system in algebra is a set of numbers. Different number systems are used to solve different types of algebra problems.
- Real numbers
- Complex numbers
- Sequences and series
- Factorials and Binomial Theorem
- Determinants of 2-by-2 matrices