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Page 42 - The four fundamental operations for rational algebraic expressions. Factoring, determination of highest common factor and lowest common multiple by factoring; fractions, including complex fractions, and ratio and proportion; linear equations, both numerical and literal, containing one or more unknown quantities; problems depending on linear equations; radicals, including the extraction of the square root of polynomials and of numbers; exponents, including the fractional and the negative.
Page 29 - To divide one fraction by another, invert the ' divisor, and proceed as in multiplication.
Page 44 - The usual theorems and constructions of good text-books, including the general properties of plane rectilinear figures; the circle and the measurement of angles; similar polygons ; areas ; regular polygons and the measurement of the circle; the solution of numerous original exercises, ineluding loci problems, applications to the mensuration of lines and plane surfaces. IV. SOLID GEOMETRY. The usual theorems and constructions of good text-books...
Page 44 - Solid geometry. The usual theorems and constructions of good textbooks, including the relations of planes and lines in space; the properties and measurement of prisms, pyramids, cylinders, and cones; the sphere and the spherical triangle. The solution of numerous original exercises, including lori problems.
Page 17 - SEC. 1. These By-Laws shall go into effect upon adoption (except as to the provisions of Article VII, which shall go into effect February 1, 1935), and may be amended at the annual or any stated meeting of the Association, by a two-thirds vote of the members present, provided that notice of the proposed amendment, subscribed by five members, be given at a previous meeting and a copy of the proposed amendment be mailed to each active member at least ten days before being voted upon.
Page 42 - Quadratic equations, both numerical and literal. Simple cases of equations with one or more unknown quantities, that can be solved by the methods of linear or quadratic equations. Problems depending on quadratic equations. The binomial theorem for positive integral exponents. The formulas for the nth term and the sum of the terms of arithmetical and geometric progressions, with applications.
Page 42 - Advanced Algebra. Permutations and combinations, limited to simple cases. Complex numbers, with graphical representation of sums and differences. Determinants, chiefly of the second, third, and fourth orders, including the use of minors and the solution of linear equations. Numerical equations of higher degree, and so much of the theory of equations, with graphical methods, as is necessary for their treatment, including Descartes's rule of signs and Homer's method, but not Sturm's functions or multiple...
Page 16 - York (representing the Association of Teachers of Mathematics in the Middle States and Maryland...
Page 42 - It is assumed that pupils will be required throughout the course to solve numerous problems which involve putting questions into equations. Some of these problems should be chosen from mensuration, from physics, and from commercial life. The use of graphical methods and illustrations, particularly in connection with the solution of equations, is also expected.
Page 42 - ... equations, both numerical and literal, containing one or more unknown quantities ; problems depending on linear equations ; radicals, including the extraction of the square root of polynomials and of numbers; exponents, including the fractional and negative...