Power of Ratios
The topics covered include 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.  The bonus topics cover solutions of 3-D Navier-Stokes equations of science and engineering & Solutions of Magnetohydrodynamic equations, as well as solutions of NP problems (P vs NP, including solutions to the traveling salesman problem) by Power of Ratios. 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.                            

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