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(b) OPTIONAL The remaining 7 units may be supplied from among the following subjects and no others : Units

Units Mathematics, B 12 Spanish, fourth year.

1 Mathematics, D 12 Italian, first year.--.

1 Mathematics, E 12 Italian, second year-

1 English, fourth year--1 Italian, third year.

1 History, A 1

1 Italian, fourth year.Any not submitted History, B 1 Physics

1 History, C among required 1 Chemistry--

1 History, D) subjects. 1 General science

1 Latin, first year---

1
Biology

1 Latin, second year--

Botany

1 Latin, third year--1 Zoology

1 Latin, fourth year-1 Physical geography--

1 Greek, grammar and composition. 1 Drawing, mechanical or free-hand. 1 French, first year--1 Economics

1 French, second year-1 Sociology

1 French, third year-1 Bookkeeping

1 French, fourth year..

Physiology German, first year.-1 Psychology

1 German, second year-

1 Astronomy German, third year-

1 GeologyGerman, fourth year.

1 Civics, when not included in HisSpanish, first year.--

1

tory, D Spanish, second year.

1 Spanish, third year1

42 DEFINITION OF CERTAIN SUBJECTS IN THE ABOVE LIST

26. MATHEMATICS, A1, ALGEBRA TO QUADRATICS, ONE UNIT The meaning, use, evaluation, and necessary transformations of simple formulas involving ideas with which the pupil is familiar, and the derivation of such formulas from rules expressed in words.

The graph, and graphical representation in general. The construction and interpretation of graphs.

Negative numbers; their meaning and use.

Linear equations in one unknown quantity, and simultaneous linear equations involving two unknown quantities, with verification of results. Problems.

Ratio, as a case of simple fractions; proportion, as a case of an equation between two ratios; variation. Problems.

The essentials of algebraic technique.
Exponents and radicals; simple cases.
Numerical trigonometry.

27. MATHEMATICS, A2, ALGEBRA, QUADRATICS AND BEYOND, ONE UNIT Numerical and literal quadratic equations in one unknown quantity. Problems.

The binomial theorem for positive integral exponents, with applications.
Arithmetic and geometric series.
Simultaneous linear equations in three unknown quantities.

Simultaneous equations, consisting of one quadratic and one linear equation,
or of two quadratic equations of certain types. Graphs.
Exponents and radicals.
Logarithms.

28. MATHEMATICS, B, ALGEBRA, ADVANCED, ONE-HALF UNIT Theory of equations. Determinants.

Complex numbers (numerical and geometric treatment), simultaneous quadratics, scales of notation, mathematical induction, permutations and combino tions, and probability,

29. MATHEMATICS, C, PLANE GEOMETRY, ONE UNIT The usual theorems and constructions of good textbooks, including the general properties of plane rectilinear figures; the circle and the measurement of anglés; 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.

30. MATHEMATICS, D, SOLID GEOMETRY, ONE-HALF UNIT 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 loci problems. Applications to the mensuration of surfaces and solids.

31. MATHEMATICS, E, TRIGONOMETRY, ONE HALF UNIT Definition of the six trigonometric functions of angles of any magnitude, as ratios. The computation of five of these ratios from any given one. Functions of 0, 30, 45, 60, and 90, and of angles differing from these by multiples of 90.

Determination, by means of a diagram, of such functions as sin (A-90) in terms of the trigonometric functions of A.

Circular measure of angles; length of an arc in terms of the central angle in radians.

Proofs of the fundamental formulas, and of simple identities derived from them.

Solution of simple trigonometric equations.

Theory and use of logarithms, without the introduction of work involving infinite series. Use of trigonometric tables, with interpolation,

Derivation of the Law of Sines and the Law of Cosines. Solution of right and oblique triangles (both with and without logarithms) with special reference to the applications.

32. ENGLISH, A, GRAMMAR AND COMPOSITION, ONE AND ONE-HALF UNITS The principles of English grammar. The rules of English composition.

Proficiency in spelling, punctuation, grammar, and composition acquired by repeated oral and written exercises.

33. ENGLISH, B, LITERATURE, ONE AND ONE-HALF UNITS The study of selected masterpieces in English and American literature.

Familiarity with the nature and characteristics of the different literary forms, as the essay, the novel, and biography in prose, the lyric and the epic in poetry, and the comedy and the tragedy in drama.

Knowledge of the history and development of English and American literature, including acquaintance with the chief periods, as the Elizabethan, the Puritan, the Restoration, and the Victorian, with the leading writers of such periods and with the most important works of each writer.

34. HISTORY, A, ANCIENT HISTORY, ONE UNIT History down to the fall of Rome (476 A. D.), with special reference to Greek and Roman history, and with a short introductory study of the more ancient nations.

35. HISTORY, B, EUROPEAN HISTORY, ONE UNIT History from the fall of Rome to the present time.

36. HISTORY, C, ENGLISH HISTORY, OND UNIT History of England, emphasizing the important epochs and the greater movements and showing the relations of English history to the history of other countries, especially the United States.

37. HISTORY, D, AMERICAN HISTORY WITH OR WITHOUT CIVIL GOVERNMENT,

ONE UNIT The history of the United States and, if civil government is included, a study of the United States Constitution, of the Federal Government with its powers, organization, and operation, and of the relations between the Federal and the State Government.

DEFINITION OF A UNIT OF ADMISSION REQUIREMENTS 38. A unit represents a year's study in any subject in a secondary school, constituting approximately a quarter of a full year's work. A 4-year secondary school curriculum should be regarded as representing not more than 16 units of work.

This statement is designed to afford a standard of measurement for the work done in secondary schools. It takes the 4-year high-school course as a basis, and assumes that the length of the school year is from 36 to 40 weeks, that a period is from 40 to 60 minutes in length, and that the study is pursued for four or five periods a week; but under ordinary circumstances a satisfactory year's work in any subject can not be accomplished in less than 120 sixty-minute hours or their equivalent.

GENERAL INFORMATION AS TO CERTIFICATES 39. All necessary papers, including a set of blank certificate forms (except Form III, which is sent only upon application), are furnished by The Adjutant General of the Army to each duly nominated candidate (except where competition is specified) with his letter of appointment.

Any candidate who contemplates submitting a certificate shall, immediately upon receiving his appointment, forward to the Adjutant, United States Military Academy, West Point, N. Y., the names and addresses of all educational institutions from which he expects to obtain certificates, in order that information as to the status of those institutions may be procured before the arrival of the certificates.

Certificates should be submitted not later than February 1. A certificate received between February 1 and the examination will receive consideration, but, in view of the short time left to the academic board to investigate its value, no assurance will be given that such certificate can be acted on in time to exempt the candidate from the regular mental examination. Certificates received at West Point too late for full investigation and appraisal before 9 o'clock a, m. on the first Tuesday in March of each year will be returned to the candidates concerned without action.

Candidates who submit certificates on a date which does not allow the academic board sufficient time to investigate their value and notify them regarding the final action thereon prior to the day set for the examination should proceed with the regular examination.

Candidates who are informed that their certificates have been accepted must present themselves at the regular time and place, as herein prescribed, for physical examination and, if required, for the validating examination,

A candidate whose certificate qualifications have been approved conditionally (that is, approved provided he completes his regular high-school or preparatoryschool course with good grades, and graduates) must bring with him, and present on the day he reports for admission, his diploma or certificate of graduation, together with a certified statement of the grades attained in his academic work, in order that the Academic Board of the Military Academy may determine whether or not sufficient and satisfactory work has been accomplished to remove his condition. The foregoing does not apply to a candidate whose certificate has been approved unconditionally.

A candidate who has once satisfactorily fulfilled all the mental requirements for entrance will be regarded as qualified at any subsequent opportunity which may arise for entrance with the same class.

A certificate which is accepted as satisfactory for one examination will be regarded as satisfactory for any other examination which may be set for entrance with the same class.

Any certificate accepted for entrance with one class is not valid for entrance with a succeeding class unless reapproved. It must be resubmitted accompanied by a full statement of the candidate's educational work in the interim,

and both certificate and statement will be subject to careful scrutiny by the academic board.

Inasmuch as candidates from the United States at large, the Regular Army, and the National Guard are appointed to vacancies in the order of merit competitively established as a result of the regular entrance examination, such candidates are not permitted to submit educational certificates in lieu of the regular examination.

REQUIREMENTS AS TO AGE, HEIGHT, AND PHYSICAL CONDITION 40. Candidates are eligible for admission from the day they are 17 (or 19 if from the Regular Army or from the National Guard) until the day they become 22 years of age, on which latter day they are not eligible. The age require ments for all candidates, as well as the service requirements for appointment from the Army and from the National Guard, are statutory and can not be waived.

No candidate shall be admitted who is less than 5 feet 4 inches in height, or who is deformed or afflicted with any disease or infirmity which would render him unfit for the military service, or who has, at the time of presenting himself, any disorder of an infectious or immoral character.

All candidates must be unmarried.

Each candidate must, on reporting at West Point, present a certificate show ing successful vaccination within one year; or a certificate of two vaccinations, made at least a month apart, within three months.

PRELIMINARY PHYSICAL EXAMINATION 41. Each candidate designated as principal or alternate for appointment as a cadet of the Military Academy should ascertain as soon as practicable whether or not he has any physical defect that would disqualify him for admission or any that should be corrected by treatment before presenting himself for examination. For this purpose he should immediately cause himself to be examined by a physician, preferably a medical officer of the Regular Army. The preliminary physical examination is of great importance to the candidate, as it should enable him to determine if he has any physical defect which might subse quently prevent his appointment.

The presentation by an appointee of his letter of conditional appointment, with a request for physical examination, or the presentation by a prospective appointee of a letter signed by a Member of Congress stating that the bearer is a candidate for cadet appointment and requesting that he be physically examined, will be sufficient authority for an Army surgeon at any military post to make the desired physical examination. Upon completion of this examination, the Army surgeon will inform the candidate of the result, and in case a disability be found, whether such disability is believed to be permanent and disqualifying for military service, or whether it is believed to be of a temporary or curable nature. The examination is to be regarded as preliminary only and in no manner to affect the decision of the regular medical examining board.

REGULAR PHYSICAL EXAMINATION 42. The physical examination of a candidate begins after the conclusion of his last mental examination, and is continued daily until completed, but those candidates who upon reporting at the place of examination present evidence that they have been excused from the mental examination under the provisions of the certificate privilege, or as the result of having qualified mentally at a previous examination, are usually examined physically as soon as possible after reporting and are not required to wait until the schedule of mental examinations has been completed.

PHYSICAL REQUIREMENTS

43. a. Hearing must be normal (20/20) in each ear for the whispered voice. The following-named conditions are causes for rejection: The total loss of an ear, marked hypertrophy or atrophy, or disfiguring deformity of the organ;

& The evidence must be in the form of an official communication from the War Department and must specify exemption from the mental examination of the current year,

ver.

tresia of the external auditory canal, or tumors of this part; acute or chronic uppurative otitis media, or chronic catarrhal otitis media; mastoiditis, acute or hronic; existing perforation of the membrana tympani from any cause what

b. Vision as determined by the official test types (without a cycloplegic) nust not fall below 20/40 in either eye without glasses. If below 20/20, it nust be correctable to 20/20 by proper glasses. Errors of refraction, if considered by the board to be excessive, may be a cause for rejection even though he visual acuity with or without glasses falls within acceptable limits. Both yes must be free from acute or chronic disease.

The following-named conditions are also cause for rejection: Manifest disurbance of muscle balance; esophoria of more than 10 prism diopters, exophoria of more than 5 prism diopters, or hyperphoria of more than 1 prism diopter; color blindness for red, green, or violet; trachoma, or xerophthalmia ; chronic conjunctivitis; pterygium enchroaching upon the cornea; complete or extensive destruction of the eyelids, disfiguring cicatrices, adhesions of the lids to each other or to the eyeball; inversion or eversion of the eyelids, or lagophthalmus; trichiasis, ptosis, blepharospasm, or chronic blepheritis; epiphora, rehronic dacryocystitis, or lachrymal fistula; chronic keratitis, ulcers of the cornea, staphyloma, or corneal opacities encroaching on the pupillary area and reducing the acuity of vision below the standard noted above; irregularities in the form of the iris, or anterior or posterior synechiæ sufficient to reduce the visual acuity below the standard; opacities of the lens or its capsule, sufficient to reduce the acuity of vision below the standard, or progressive cataract of any degree; extensive coloboma of the choroid or iris, absence of pigment, glaucoma, iritis, or extensive or progressive choroiditis, retinitis, detachment of the retina, neuro-retinitis, optic neuritis, or atrophy of the optic nerve; loss or disorganization of either eye, or pronounced exophthalmus; pronounced nystagmus; or permanent or well-marked strabismus; diplopia, or night blindness; abnormal conditions of the eyes due to disease of the brain; malignant tumors of lids or eyeballs; asthenopia accompanying any ocular defect.

A certificate from a competent ophthalmologist may be accepted, at the option of the examining board, as evidence of freedom from lesions of the fundus.

c. Teeth. No candidate will be accepted unless he has a minimum of 6 serv. iceable, natural masticating teeth above and 6 below, opposing, and also 4 serviceable, natural incisors above and 4 below, opposing. Therefore the minimum requirement consists of a total of 12 masticating teeth and 8 incisor teeth, all of which must be so opposed as to serve the purposes of incision and mastication. Well-crowned teeth or single-tooth replacements by a standard method of bridge work may be considered serviceable, natural teeth when the history and appearance clearly warrant such assumption.

Teeth properly filled with permanent filling material will be considered serviceable, natural teeth. Teeth containing unfilled cavities, or those showing signs of focal infection or involved with pyorrhea pockets, even though all cavities are properly filled, will not be considered serviceable teeth.

Each candidate meeting the dental requirements, whose examination disclosed nondisqualifying dental defects such as caries, incipient pyorrhea, gingivitis, calcareous deposits, grossly defective fillings, temporary fillings, focal infections, or impacted teeth, will be furnished a memorandum by the examining board specifying in detail the conditions found. In case of final acceptance by the War Department the candidate must have these defects corrected prior to reporting at West Point. 44. MINIMUM STANDARDS OF PHYSICAL PROPORTIONS FOR HEIGHT, WEIGHT, AND

CHEST MEASUREMENT FOR ALL CANDIDATES EXCEPT FILIPINOS The requirements of the following tables of physical proportions are minimum for growing youths and are for guidance in connection with the other data of the examination, a consideration of all of which will determine the candidate's physical eligibility. Mere fulfillment of the requirements of the standard tables does not determine eligibility.

The physical requirements should be those of the age at the birthday nearest the time of the examination. Fractions greater than one-half inch will be considered as an additional inch of height, but candidates must be at least 64 inches in height.

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