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.