• 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