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# Topics Covered in Precalculus

### Fall Sample Lessons

- Introduction
- Functions-Graphing, Continuity, and Limits
- Extrema and Transformations of Functions
- Function Composition and Inverses
- Polynomial and Power Functions
- Zeros of Polynomials and the Remainder and Factor Theorems
- Rational Functions and Inequalities
- Exponential and Logarithmic Functions
- Exponential and Logarithmic Equations and Modelling
- Review and Problem Solving

### Winter Sample Lessons

- Degrees and Radians: Right Triangle Trigonometry
- Computing and Graphing Trig. Functions
- Inverse Trig. Functions and the Law of Sines and Cosines
- Relationships between Trig. Functions
- Solving Trigonometric Equations
- Trig. Identities
- Parabolas, Ellipses, and Circles
- Hyperbolas and General Conics
- Parametric Equations
- Review and Problem Solving

### Spring Sample Lessons

- Multivariable linear systems and matrices
- Matrix inverses and Cramer's Rule
- Partial Fractions
- Vectors
- Dot products and projections
- Cross products
- Polar coordinates
- Polar and rectangular forms of equations
- Polar forms of Conic Sections
- Review and Problem Solving

### Summer Sample Lessons

- Arithmetic Sequences and Series
- Geometric Sequences and Series and Induction
- Binomial Theorem
- Functions as Infinite Series
- Calculating Limits Graphically and Algebraically
- Tangent Lines and Velocity
- Derivatives
- Area Under a Curve
- Integration
- Fundamental Theorem of Calculus

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