Pre-Calculus or Math Analysis

1. Functions and Graphs

• Polynomial and Rational Functions
  • Analyze and graph polynomial functions of higher degree
  • Explore rational functions and their asymptotic behavior
• Exponential and Logarithmic Functions
  • Investigate properties and applications of exponential and logarithmic functions

2. Trigonometry

• Trigonometric Functions
  • Understand unit circle and radian measure
  • Graph and analyze sine, cosine, tangent functions and their transformations
• Trigonometric Identities and Equations
  • Prove and apply fundamental identities
  • Solve trigonometric equations

3. Analytic Geometry

• Conic Sections
  • Study parabolas, ellipses, and hyperbolas
  • Graph and analyze conic sections and their equations

4. Sequences, Series, and Limits

• Sequences and Series
  • Work with arithmetic and geometric sequences and series
• Introduction to Limits
  • Understand the concept of limits as a foundation for calculus