Topics Covered In The Course of Pre-Calculus
- Equations and Inequalities
- Linear Equations, Graphs, and Applications
- Quadratic Equations and Applications
- Other Types of Equations
- Inequalities
- Functions and Graphs
- Functions
- Graphs of Functions
- Parent Functions
- Transformation of Functions
- Composite and Inverse Functions
- Polynomial Functions
- Quadratic Functions
- Higher Order Polynomial Functions
- Division of Polynomials
- Zeros of Polynomials
- Applications
- Rational Functions
- Rational Functions and Asymptotes
- Graphs of Rational Functions
- Exponential and Logarithmic Functions
- Exponential Functions and Graphs
- Logarithmic Functions and Graphs
- Properties of Logarithms
- Exponential and Logarithmic Equations and Applications
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- Degree and Radian Measures
- Definitions of the Trigonometric Functions
- Standard Trigonometric Identities (Recognition, Use, and Proof)
- Graphs of Trigonometric Functions
- Inverse Trigonometric Functions
- Law of Sines
- Law of Cosines
- Heron’s Area Formula
- Applications of Trigonometry to Real-Life Problems
- Systems of Equations and Matrices
- Linear and Nonlinear Systems of Equations
- Two Variable Linear Systems
- Multivariable Linear Systems
- Applications of Systems to Real-Life Problems
- Sequences and Series
- Sequence and Series Notation
- Factorials
- Summations
- Arithmetic and Geometric Sequences
- Infinite Sums
