1. Understanding quadratic equations -- 1.1 Solving quadratic equations -- 1.2 Vieta's formulas -- 1.3 Applications to rational and quadratic equations -- 1.4 Complex numbers -- 1.5 Solving quadratic equations in complex numbers -- 1.6 Polynomial equations and inequalities -- 1.7 Rational inequalities --

2. Using conic sections in algebra -- 2.1 Distance formula and circles -- 2.2 Parabolas -- 2.3 Ellipses -- 2.4 Hyperbolas -- 2.5 Parabolas from a new viewpoint -- 2.6 Unified definition of conic sections --

3. Algebraic functions -- 3.1 Basic concepts -- 3.2 Graphs -- 3.3 Operations on functions -- 3.4 Power functions -- 3.5 Inverse functions -- 3.6 Asymptotes --

4. Using exponents and logarithms in algebraic expressions -- 4.1 Exponential functions -- 4.2 Logarithms -- 4.3 Logarithmic functions -- Index.