Machine generated contents note: 1. Algebra -- 1.1. Introduction -- 1.2. Revision of basic laws -- 1.3. Revision of equations -- 1.4. Polynomial division -- 1.5. The factor theorem -- 1.6. The remainder theorem -- 2. Partial fractions -- 2.1. Introduction to partial fractions -- 2.2. Worked problems on partial fractions with linear factors -- 2.3. Worked problems on partial fractions with repeated linear factors -- 2.4. Worked problems on partial fractions with quadratic factors -- 3. Logarithms -- 3.1. Introduction to logarithms -- 3.2. Laws of logarithms -- 3.3. Indicial equations -- 3.4. Graphs of logarithmic functions -- 4. Exponential functions -- 4.1. Introduction to exponential functions -- 4.2. The power series for ex -- 4.3. Graphs of exponential functions -- 4.4. Napierian logarithms -- 4.5. Laws of growth and decay -- 4.6. Reduction of exponential laws to linear form -- 5. Inequalities -- 5.1. Introduction to inequalities -- 5.2. Simple inequalities -- 5.3. Inequalities involving a modulus.