**A. Functions**

- Domain and range
- Identify functions
- Evaluate functions
- Find values of functions from graphs
- Add, subtract, multiply, and divide functions
- Composition of functions
- Identify inverse functions
- Find values of inverse functions from tables
- Find values of inverse functions from graphs
- Find inverse functions and relations

**B. Families of functions**

- Function transformation rules
- Translations of functions
- Reflections of functions
- Dilations of functions
- Transformations of functions
- Describe function transformations

**C. Trigonometric functions**

- Convert between radians and degrees
- Quadrants
- Coterminal and reference angles
- Find trigonometric ratios using right triangles
- Find trigonometric ratios using the unit circle
- Find trigonometric ratios using reference angles
- Convert between trigonometric ratios
- Inverses of trigonometric functions
- Solve trigonometric equations
- Find properties of sine functions
- Write equations of sine functions from graphs
- Write equations of sine functions using properties
- Graph sine functions
- Find properties of cosine functions
- Write equations of cosine functions from graphs
- Write equations of cosine functions using properties
- Graph cosine functions
- Find properties of sine and cosine functions
- Write equations of sine and cosine functions from graphs
- Write equations of sine and cosine functions using properties
- Graph sine and cosine functions

**D. Exponential and logarithmic functions**

- Domain and range of exponential and logarithmic functions
- Convert between exponential and logarithmic form
- Evaluate logarithms
- Change of base formula
- Product property of logarithms
- Quotient property of logarithms
- Power property of logarithms
- Properties of logarithms: mixed review
- Evaluate logarithms using properties
- Solve exponential equations
- Solve logarithmic equations
- Describe linear and exponential growth and decay

**E. Introduction to limits**

- Find limits using graphs
- Find one-sided limits using graphs
- Determine if a limit exists

**F. Calculate limits**

- Find limits using addition, subtraction, and multiplication laws
- Find limits using the division law
- Find limits using power and root laws
- Find limits using limit laws
- Find limits of polynomials and rational functions
- Find limits involving factorization and rationalization
- Find limits involving absolute value functions
- Find limits involving trigonometric functions

**G. Limits involving infinity**

- Find limits at vertical asymptotes using graphs
- Determine end behavior using graphs
- Determine end behavior of polynomial and rational functions

**H. Rational functions**

- Find the limit at a vertical asymptote of a rational function I
- Find the limit at a vertical asymptote of a rational function II

**I. Continuity**

- Identify graphs of continuous functions
- Determine continuity using graphs
- Determine one-sided continuity using graphs
- Find and analyze points of discontinuity using graphs
- Determine continuity on an interval using graphs
- Determine the continuity of a piecewise function at a point
- Make a piecewise function continuous
- Intermediate Value Theorem

**J. Introduction to derivatives**

- Average rate of change I
- Average rate of change II
- Find instantaneous rates of change
- Velocity as a rate of change
- Find values of derivatives using limits
- Find the slope of a tangent line using limits
- Find equations of tangent lines using limits

**K. Derivative rules**

- Sum and difference rules
- Product rule
- Quotient rule
- Power rule I
- Power rule II
- Chain rule
- Inverse function rule

**L. Calculate derivatives**

- Find derivatives of polynomials
- Find derivatives of rational functions
- Find derivatives of trigonometric functions I
- Find derivatives of trigonometric functions II
- Find derivatives of exponential functions
- Find derivatives of logarithmic functions
- Find derivatives of inverse trigonometric functions
- Find derivatives of radical functions
- Find derivatives using the product rule I
- Find derivatives using the product rule II
- Find derivatives using the quotient rule I
- Find derivatives using the quotient rule II
- Find derivatives using the chain rule I
- Find derivatives using the chain rule II

**M. Derivative strategies**

- Find derivatives using implicit differentiation
- Find tangent lines using implicit differentiation
- Find derivatives using logarithmic differentiation

**N. Calculate higher derivatives**

- Find higher derivatives of polynomials
- Find higher derivatives of rational and radical functions
- Find second derivatives of trigonometric, exponential, and logarithmic functions
- Find higher derivatives of exponential and trigonometric functions
- Find higher derivatives of logarithmic and power functions