• Polynomial and Rational Inequalities
  • One-to-One and Inverse Functions
  • Exponential Functions
  • Logarithms and Logarithmic Functions
  • Properties of Logarithms; solving Exponential/Logarithmic Equations
  • Angle Measure, Special Triangles, and Special Angles
  • Unit Circles and the Trigonometry of Real Numbers
  • Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
  • Graphs of Tangent and Cotangent Functions
  • Transformations and Applications of Trigonometric Graphs
  • The Trigonometry of Right Triangles
  • Trigonometry and the Coordinate Plane
  • Fundamental identities and Families of Identities
  • Constructing and Verifying Identities
  • The Sum and Difference Identities
  • The Double-Angle, Half-Angle, and Product-to-Sum Identities
  • The Inverse Trig Functions and Their Applications
  • Solving Basic Trig Equations
  • General Trig Equations and Applications
  • Oblique Triangles and the Law of Sines
  • The Law of Cosines; the Area of a Triangle
  • Linear Systems in Two Variables with Applications
  • Linear Systems in Three Variables with Applications
  • Partial Fraction Decomposition
  • Solving Linear Systems Using matrices and Row Operations
  • Solving Linear Systems Using Matrix Equations (Use determinants to find whether a matrix is invertible)
  • Applications of Matrices and Determinants:  Cramer’s Rule, Geometry, and More
  • The Circle and the Ellipse
  • The Hyperbola
  • The Analytic Parabola
  • Sequences and Series
  • Arithmetic Sequences
  • Geometric Sequences
  • Mathematical Induction
  • The Binomial Theorem