Fundamental operations with numbers -- Fundamental operations with algebraic expressions -- Properties of numbers -- Special products -- Factoring -- Fractions -- Exponents -- Radicals -- Simple operations with complex numbers -- Equations in general -- Ratio, proportion, and variation -- Functions and graphs -- Linear equations in one variable -- Equations of lines -- Simultaneous linear equations -- Quadratic equations in one variable -- Conic sections -- Systems of equations involving quadratics -- Inequalities -- Polynomial functions -- Rational functions -- Sequences and series -- Logarithms -- Applications of logarithms and exponents -- Permutations and combinations -- The binomial theorem -- Probability -- Determinants -- Matrices -- Mathematical induction -- Partial fractions.