# Topics Covered in Precalculus

### Fall Sample Lessons

1. Introduction
2. Functions-Graphing, Continuity, and Limits
3. Extrema and Transformations of Functions
4. Function Composition and Inverses
5. Polynomial and Power Functions
6. Zeros of Polynomials and the Remainder and Factor Theorems
7. Rational Functions and Inequalities
8. Exponential and Logarithmic Functions
9. Exponential and Logarithmic Equations and Modelling
10. Review and Problem Solving

### Winter Sample Lessons

1. Degrees and Radians: Right Triangle Trigonometry
2. Computing and Graphing Trig. Functions
3. Inverse Trig. Functions and the Law of Sines and Cosines
4. Relationships between Trig. Functions
5. Solving Trigonometric Equations
6. Trig. Identities
7. Parabolas, Ellipses, and Circles
8. Hyperbolas and General Conics
9. Parametric Equations
10. Review and Problem Solving

### Spring Sample Lessons

1. Multivariable linear systems and matrices
2. Matrix inverses and Cramer's Rule
3. Partial Fractions
4. Vectors
5. Dot products and projections
6. Cross products
7. Polar coordinates
8. Polar and rectangular forms of equations
9. Polar forms of Conic Sections
10. Review and Problem Solving

### Summer Sample Lessons

1. Arithmetic Sequences and Series
2. Geometric Sequences and Series and Induction
3. Binomial Theorem
4. Functions as Infinite Series
5. Calculating Limits Graphically and Algebraically
6. Tangent Lines and Velocity
7. Derivatives
8. Area Under a Curve
9. Integration
10. Fundamental Theorem of Calculus