recommended, sufficient to enable the student to understand simple spoken German, and to express simple ideas in the language. At least one additional year of study will be necessary to meet this requirement.

FRENCH.

ELEMENTARY (counting as two units).—Such a knowledge of the language is required as may be obtained by the reading of at least 400 pages, part of which should be read at sight. The examination consists of the translation at sight into English of easy passages of French, elementary grammatical questions, and the translation of simple English sentences into French. To meet this requirement two years' work will generally be necessary.

INTERMEDIATE.-The requirement includes the reading of not less than 600 additional pages of French (including at least two works of a dramatic character), and regular practice in writing and speaking French. At least one additional year of study will be necessary to meet this requirement.

I.

2.

HISTORY.

Ancient History to the death of Charlemagne (814).

Mediaeval and Modern European History from the death of Charlemagne (814) to the present time.

3. English History.

4. American History and Civil Government.

....

These four courses are outlined in The Study of History in Schools: Report to the American Historical Association by the Committee of Seven (1899), and with more detail in A History Syllabus for Secondary Schools . . . . by a Special Committee of the New England History Teachers' Association (1904), and in Syllabus for Secondary Schools, 1910, published by the University of the State of New York. These courses are identical with those scheduled for examination by the College Entrance Examination Board.

In each of the above courses the following requirements must be met:

I. One year of historical work, wherein the study is given five times per week, or two years of historical work, wherein the study is given three times per week.

2. Such general knowledge of the whole course as may be acquired from the study of an accurate text-book, amounting to not less than 500 pages.

3. A fuller knowledge derived from suitable collateral reading, in books of a less elementary nature, amounting to at least 500 pages.

4. Comparisons between historical characters, periods, and events, and in general the power to combine in orderly fashion the results of reading, and to exercise judgment as well as

memory.

5. Geographical knowledge, tested by the location of places, movements, and territorial changes on an outline map, by physical features wherever possible, as well as by political features.

Schools having the certificate privilege must certify only those courses in history actually pursued in the high school and must omit any courses taken in the grammar school, or merely passed on examination, or not complying with the above requirements.*

The Regents' diplomas and supplementary pass cards of the University of the State of New York for the five-hour examinations will be received as covering the first, third, and fourth of the above groups, and for the three hour examinations in both Modern History I. and Modern History II. as covering the second of the above groups.†

Candidates for the B.A. degree must present Ancient History, the first of the above groups, and may, in addition, present

* In case of schools entitled to the certificate privilege, where any of the courses in history are such that they do not meet the above requirements, the teacher should give the student a detailed statement of the courses taken and of his grades, which statement will be considered in connection with such examination as may be deemed necessary to determine the amount of credit to be allowed. In no case will account be taken of a course in Greek History which does not extend at least to the death of Alexander (B. C. 323), or of a course in Roman History which does not extend at least to the death of Marcus Aurelius (A. D. 180). No account will be taken of any course of less than five periods for a half-year, or three periods for a year.

No credit will be allowed for the three-hour examination in Ancient History. Temporarily, the three-hour examinations in the other subjects will be credited for a half-unit. No credit is given for Elementary United States History and Civics, or Civics, or Economics.

one or more of the other groups. Candidates for the B. S. degree must present at least one of the above groups, preferably the fourth (American History and Civil Government), and, in addition, may present one or more of the other groups.

(a) Algebra to Quadratics. 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 negative.

(b) Quadratics and beyond. 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.

2. PLANE GEOMETRY.

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, including loci problems. Applications to the mensuration of lines and plane surfaces.

3. SOLID GEOMETRY.

The usual theorems and constructions of good text-books, 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 loci problems. Applications to the mensuration of surfaces and solids.

4. 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' rule of signs and Horner's method, but not Sturm's functions or multiple roots.

5. PLANE TRIGONOMETRY.

Definitions and relations of the six trigonometric functions as ratios; circular measurement of angles. Proofs of principal formulas, in particular for the sine, cosine, and tangent of the sum and the difference of two angles, of the double angle and the half angle, the product expressions for the sum or the difference of two sines or of two cosines, etc.; the transformation of trigonometric expressions by means of these formulas. Solution of trigonometric equations of a simple character. Theory and use of logarithms (without the introduction of work involving infinite series). The solution of right and oblique triangles, and practical applications.

PHYSICS.

The course of instruction should include:

(1) The careful study of a standard text-book, for the purpose of obtaining a connected and comprehensive view of the subject.

(2) Lecture table demonstrations, mainly qualitative, illustrating important facts and phenomena and their practical applications.

(3) Individual laboratory work, consisting of experiments requiring at least the time of thirty double periods. The experiments performed by each student should number at least 30. They should be chiefly quantitative, and so chosen as to give a wide range of observation and practice. They should be neatly recorded in a suitable note-book, indexed, and certified by

the instructor. This book should be deposited with the examiner when the candidate presents himself for examination. Students entering on certificate are not required to show their note-books.

The above requirements are intended to be identical with those of the College Entrance Examination Board, as set forth in their Document No. 72. Teachers of physics are advised to consult this document for a valuable syllabus of topics and list of experiments.*

CHEMISTRY.

The requirements for admission in chemistry may be summarized as follows:

(1) Individual laboratory work, comprising at least forty experiments. The candidate who is examined in chemistry for admission to college must present his original note-book containing a record in his own words of the experiments, and of his observations and conclusions in connection with them. The note-book should include an index of the experiments performed, and must be certified by the instructor. It should be deposited with the examiner when the candidate presents himself for examination. Students entering on certificate are not required to show their note-books.

(2) Instruction by lecture table demonstrations, covering the more important facts and principles of chemistry.

(3) The thorough study of at least one standard text-book, for the acquisition of a comprehensive and connected view of the subject.

These requirements are intended to be identical with those of the College Entrance Examination Board. Teachers who desire to meet them should consult Document No. 72 of the Board.*

* Address College Entrance Examination Board, P. O. Sub-Station 84, New York City. The price of the document is ten cents.