Functions
Power, Polynomial, and Rational Functions
Exponential and Logarithmic Expressions
- Graphing exponential functions
- Exponential equations not requiring logarithms
- Exponents and logarithms
- Evaluating logarithms
- Logarithms and exponents as inverses
- Properties of logarithms
- Writing logs in terms of others
- Exponential equations requiring logarithms
- Logarithmic equations, simple
- Logarithmic equations, hard
- Graphing logarithmic functions
- Compound interest
Trigonometry
- Angles and angle measure
- Right triangle trigonometry
- Trig functions of any angle
- Graphing trig functions
- Simple trig equations
- Inverse trig functions
- Fundamental identities
- Equations with factoring and fundamental identities
- Sum and Difference Identities
- Multiple-Angle Identities
- Product-to-Sum Identities
- Equations and Multiple-Angle Identities
- The Law of Sines
- The Law of Cosines
Parametric Equations
Polar Coordinates
Three-Dimensional Vectors
Matrices and Systems
Discrete Mathematics
Probability
Sequences and Series
Introduction to Calculus
- Limits by direct evaluation
- Limits at kinks and jumps
- Limits at removable discontinuities
- Limits at essential discontinuities
- Limits at infinity
- Definition of the derivative
- Instantaneous rates of change
- Power rule for differentiation
- Motion along a line
- Approximating area under a curve
- Area under a curve by limit of sums
- Indefinite integrals
