One of the main challenges that students deal with when learning calculus is that they have lost parts of their algebra knowledge from previous years, or had never developed a solid understanding of it. In this chapter, we want to refresh your knowledge of algebra and help you start strong at the basics. It is recommended that you quickly scan all the sections to help refresh your previous knowledge and skills.
In this chapter, we will talk about:
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- What is algebra?
- Sets
- Sets of numbers
- Inequalities
- Absolute value and neighborhoods
- Intervals
- Laws of exponents
- Logarithm
- Conditional equations vs identities
- Polynomials
- Dividing polynomials
- Special product formulas
- Factorization
- Fraction
- Rationalizing binomial denominators
- Coordinates in a plane
- Graphs of equations in two variables
- Straight lines
- Solutions and roots
- Other types of equations
- Solving inequalities
- Solving absolute value equations and inequalities
- Sigma notation or summation notation
- Arithmetic and geometric progressions