1. Description of functions 2. Function notations and graphs 3. Input and output 4. Applications 5. Implicit definition of domain 6. Algebraic operations
with functions 7. Composition of functions 8. Properties of functions 9. Inverse functions 10. Basic functions and
simple transformations 11. Equations from graphs

1. Quadratic functions 2. Other forms and applications 3. Polynomial functions 4. Division of polynomials 5. The remainder and factor theorems 6. The rational zero theorem 7. Fractional linear functions 8. General rational functions 9. Polynomial inequalities

1. Exponential functions 2. Logarithms 3. Properties of logarithms
and logarithmic functions 4. Exponential equations 5. Logarithmic equations 6. Graphs of exponential and
logarithmic functions 7. Applications
and exponential models

1. Angles and their measure 2. Special angles and arc length 3. Right triangle trigonometry 4. The trig functions for general angles 5. The reference angle and its use 6. Applications of trig functions 7. Graphs of sine and cosine 8. Graph of tangent 9. Inverse trig functions 10. Using inverse trig functions

1. Basic trig identities 2. Verifiction of trig identities 3. Sum/difference and double angle identities 4. Trig equations I 5. Trig equations II 6. Law of sines 7. Law of cosines