Power of Ratios

Power of Ratios covers the following:

Definition and reduction of ratios to lowest terms; using ratios to compare quantities;

using ratios to divide a quantity into parts; direct and inverse proportion; methods for

solving direct proportion problems; methods for solving inverse proportion problems;

compound proportion problems; geometric applications of ratios: similar triangles;

theorems and proofs; comparison of congruency and similarity of triangles; applications

of similarity theorems; radian-degree conversions; right triangle trigonometry and

applications; straight lines: slopes of lines; intercepts and equations of straight lines;

applications of ratios and proportion in physics and chemistry: Boyle's Law; Charles'

Law; Gay-Lussac's Law; combined gas laws; dosage calculations in nursing; food

preparation & nutrition; applications of ratios in engineering: machine design; modelprototype

design; science and engineering ratios; applications of ratios in business;

miscellaneous applications. Other topics include review of fractions; decimals; percent

(%) and calculations involving percent; review of first degree equations containing one

variable; axioms for solving equations; solving first degree equations. Other topics

cover measurements; standard unit, error, and rounding-off numbers

The bonus topics cover solutions of 3-D Navier-Stokes equations of science and engineering & Solutions of Magnetohydrodynamic equations, solutions of NP problems (P vs NP, including solutions to the traveling salesman problem) as well as proofs of Beal Conjecture and Fermat's Last Theorem on a single page, by Power of Ratios.