California. Legislature. # Appendix to the Journals of the Senate and Assembly of the ... session of the Legislature of the State of California (Volume 1885v.1) online

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of the Atlantic States.

(2) Those who wish to equip themselves as teachers of mathematics.

(3) Those who, intending to make physical research (theoretical or

practical) their chief occupation, wish a thorough mathematical prep-

aration.

21

(4) Those who, intending to become mechanical, mining civil or

manne engineers, wish a more thorough mathematical training than

IS possible 111 the short time allotted to mathematical study in the

regular undergraduate courses in the engineering departments

It IS proposed to make the course sufficiently thorough to enable

the student, without further preparation, to attend with profit such

lecture courses as are now offered at Baltimore, or any of the European

Universities. ^

The following is an outline of the studies which it would be possi-

ble, with our present resources, to incorporate into such a course:

Prescribed Mathematical Studies.

1. Differential and Integral Calculus, four exercises a week, two terms.

â– 2. Analytical Geometr3', one exercise a week, four terms.

3. Determinants and Theory of Equations, two exercises a week, two terms.

4. Differential Equations, three exercises a week, one term.

5. Analytical Geometry of Space, or ) ,,

6. Functions of Complex Variables, j 'â– '"â– ee exercises a week, one term.

7. Analytical Mechanics, four exercises a week, two terms.

8. Physics, three exercises a week, two terms.

9. Physical Laboratory, three exercises a week, three terms.

Other Prescribed Studies.

3. English, four exercises a week, two terms.

2. Twenty themes.

3. German or French, four exercises a week, four terms.

Of Mathematical Elective Work.

Six exercises a week during the first term, and three during the second term of the third

fubjecte "'^ ""'"^ ' ^^'"'"' "^ ^^^^ '"'"'"â– ^^ ^''''^'â– ' ^""^ choice to be made from the following

GEOMKTRY.

1. Modern Synthetic Geometry.

2. Analytical Geometry of Space.

3. Higher Plane Curves.

4. Non Euclidean Geometry.

5. Quaternions.

ALGEBRA AND ANALYSIS.

6. Modern Higher Algebra (Homogeneous Forms, Invariants, Covariants, etc.)

7. Ineory of Substitutions and of Algebraic Equations.

8. Applications of Calculus to the Geometry of Curves and Surfaces

9. Functions of Complex Variables.

10. Theory of Elliptic Functions. â–

11. Riemann's Theory.

12. Calculus of Variations.

13. Partial Differential Equations.

14. Theory of Quaternion Functions.

15. Theory of Numbers.

Of other Elective Work.

Four exercises a week during the first year, three during the second, and six during the

Berkele " â€¢^''''"'^' ""^ *Â° ^"^ '"^""^^ '^ ''"^' Â°^ *''" ^''"^'^^ *^^"Slit in the coIle|es at

With our present teaching force, the full number of exercises per

week here indicated could not be provided for, but the mathematical

work of the feenior year will be conducted mainly without recitations

or lectures. Ihe student will be required to master certain assigned

subjects and will be directed to the original sources for his info?ma-

tion and his progress will from time to time be tested by examination

btudents who complete the course by electing the Latin and Greek

prescribed in the first two years of the classical course, would be eli-

22

gible to the degree of Baclielor of Arts; other graduates of the course

would naturally receive the degree of Bachelor of Science.

The course is in the line of University development, and, if adopted

by the Academic Senate, will deserve every encouragement at the

hands of the Board of Regents.

English.

It is not necessary that I should speak in detail of the work of the

different Chairs in the University, but I conceive the work in Eng-

lish to be so important as to warrant some special mention. I am free

to say, that I consider the study of English to be the most important

study, not only in our secondary schools, but in the University. 1

am, therefore, glad to feel that Ave may fairly claim to be giving to

the subject its proper recognition, and that we may willingly invite

attention to the course of study offered.

The requirements of the department have, indeed, at times severely

taxed the students, and have sometimes been thought too severe. The

work has, however, been reasonably well done, and the results that

have followed have been highly satisfactory.

It is believed, that with the better preparation that has already

begun to appear in the preparatory schools, the work required at the

University will not be found too difficult.

But whether too difficult under present conditions or not, it is

certainly not more than should be comprised in a properly' devised

college course. If, however, the work has taxed the students, it has

yet more taxed the instructors. The class-room work is but a small

fraction of the work to be done in this department, and it is altogether

the least laborious^ and wearing. Work in English cannot be satis-

factorily done witliout much and careful theme work, and no one

who has not had experience can know how exhausting it is to correct,,

day after day and week after week, even the most carefully prepared

papers.

It is quite impossible for a professor and one instructor to do the

work laid out in this department. For the last two years, the partial

service of an assistant in English has been secured in correcting

themes. This should be made a permanent position, and should be

advanced to that of a full instructorship. I am confident that it

cannot be necessary to urge the importance of strengthening this

department at the earliest possible moment that our finances will

permit.

Germmi.

The professor of German has a larger attendance upon his exercises

than any other instructor in the University, with the exception of the

Professor of Military Science. In order to give to his several classes

the time that is allotted to them in the several colleges and courses, he

is compelled to make larger divisions than are felt to be advantage-

ous. Many of them should be halved. This, however, cannot be

done without the assistance of an instructor.

Botany.

The importance of providing instruction in Botany is known to the

Board and fully appreciated by it, but want of means makes the

appointment of an instructor at present out of the question.

23

Drawing.

So also the importance of strengthening the department of drawing

so that all students who choose may leave the University with suffi-

cient skill to fit them to take employment at once in the draughting

room, has been carefully considered, and is fully recognized in a

resolution of the Board authorizing the employment of suitable

assistance, but here again the Board was compelled to defer action for

the want of funds.

Pedagogics.

The importance of Pedagogics as a department of University work

is tardily receiving proper recognition in some of the best Univer-

sities in the East. I regret that the University of California cannot

be among the first to undertake this important work. I can only

hope, by now drawing attention to the subject, to bespeak for it proper

recognition as soon as the finances of the Board will permit.

Entomology.

There is probably no subject in which expert knowledge and expert

teaching are more needed in the State than in entomology. Indeed,

its importance is such that the State may confidently be expected to

make proper provision for a Chair of Entomology in the University.

Library and Art Gallery.

There were twenty-five thousand nine hundred and seven bound

volumes and five thousand two hundred pamphlets in the library

August 1, 1884. Four thousand three hundred and twenty-six volumes

have been added to the library during the two last years, mostly, as

heretofore, books of reference. There were also added eleven hun-

dred and ninety-eight pamphlets. The income from the Reese Fund,

amounting still to $3,000 a year, is the only income upon which the

library may depend. This is hardly more than enough to supply its

barest needs. Up to this time there has been no Chair of Philosophy in

the Universitj^ and as a consequence, the Department of Philosophy

has received little attention in library purchases. The filling of the

Mills' Chair of Philosoph}', therefore, makes necessary a special

appropriation from the library fund, and so far limits the usual range

of purchases in other departments. This fact, and the importance of

adding to the library more rapidlj' than is possible with the current

income, are certainly sufficient grounds for the recommendation on

the part of the Library Committee and the Board of a special appro-

priation of $10,000 for library purposes.

The Art Gallery is indebted to Mr. Charles Mayne for two very

beautiful and very valuable oil paintings â€” the joint ,work of J. B.

Klombeck and Eugene Verbockhoven.

Admission Examinations.

The requirements for admission to the several colleges have not

been materially' altered during the period covered by this report.

They are essentially the same as those of the best colleges in the East.

The following table contains a comparative statement of the require-

ments for admission in 1875, 1880, and 1884, compiled from the three

Registers of those years. The more detailed statements were in some

24

cases inserted in the last Register for the benefit of teachers and

school boards contemplating the establishment of schools, and of

courses directh' preparatory to the University, and in order that no

ambiguity might arise concerning what is expected of candidates

who present themselves for examination:

KKQUIREMEN'TS FOR ADMISSION* TO AXV iiXE nV THE COLLEGES OF SCIEXCE.

English Gbammae.

English Grammar.

1. English. Caudidates will be required to write a short

composition, correct in spelling, punctuation, gi'ammar,

and division into paragraphs, upon a subject announced at

the time of the examination. They will also be required

to analyze sentences from the works used in preparation,

and to i)a.ss an examination on Kellogg's Text-Book on

Bhetoric as far as Lesson "i'l.

For 1884 and 1885 the sulijects will be taken from the

following works: Tom Brown's School Days at Eugby;

Irving'S Sketch Book ; Dickens' Christmaa Stories; Scott's

Lady of the Lake and Kenilworth ; Shakespeare's Mer-

chant of Venice and Julius Ci^sar.

14. English. The examination in English will presup-

pose thorough study of the selections named below. The

candi<late should be prepared to elucidate in full the mean-

ing of any passage in the works assigned ; to paraphrase

such a pajKsage ; to point out the rhetorical figures in it ; to

answer questions concerning the lives of the authors, and

the suliject-matterand structure of the works studied. The

history of words should also receive attention ; Skeat's

Etymological Dictiouarj' being taken as the authority. For

the jiresent. the examination in word-ilerivation wiU be

limited to Sjienser's Prothalamion.

The examination will extend over two periods of an hour

and a half each. Signal failure in this examination alone

will subject the applicant to exclusion from the Course in

Letters and Political Science.

The examination in 1884 will be upon the following

selections: American Prose ; American Poems; Sir Roger

deCoverley; Milton's L'Allegro and 111 Penseroso; Byron's

Prisoner of Chillou; Goldsmith's Deserted Village and

Traveler : Burns' Cotter's Saturday Night : Scott's Lay of

the Last Minstrel; Bacon's Essays of Truth, of Revenge,

of Envy, of Boldness, of Ti-avel, of Kiches, and of Studies;

and Macaulay's Essay on the Pilgrim's Progress.

Arithmetic. Higher

Arithmetic in all its

branches, including ex-

traction of square and

cube roots, and the met-

ric system of weights

and measures.

Algebra. To Quad-

ratic Equations.

Arithmetic. Higher

.Arithmetic in all its

branches, including ex-

traction of s<iuare aud

cube roots, and the met-

ric system of weights

and measures.

Algebra. Through

Quadratic Equations.

2. Arithmetic. Prime and composite numbers; divisi-

bilitj- of numbers; factors, multiplication aud division by

factors; common divisors, multiples; fractions; decimals,

including percentage, simple and compound interest, and

discount ; comi>oun<l numbers and the metric system ;

involution, square root. The technical parts of Commer-

cial Arithmeticâ€” such as banking, profit and loss, commis-

sion, taxes, duties, stocks, insurance, exchange, average of

paj'uients â€” maj' be omitted.

3. Algebra (a). The definitions aud explanations of the

laws of -signs in the four fundamental operations; theory

of division of polynomials; factoring; highest common

factor and lowest common multiple; fractions; simple and

fractional equations; definitiop of the roots of an equa-

tion; simultaneous eijuations of the firet degree; elimina-

tion by comparison, by substitution, and by addition or

subtraction; inequalities; involution and evolution; frac-

tional and negative exponents; radical expressions and

surds; reduction and i-ationalization of surds.

(b). The theory and solution of quadratic equations;

solution of equations which may be reduced to the quad-

ratic form; resolution of quadratic equations by inspection

and by factoring; foi-mation of equations having given

roots ; character of imaginary roots of an equation ; reduc-

tion of irrational equations to the normal quadi-atic form ;

solution of simultaneous quadratic equations; problems.

25

Kequirements for Admission to any One of the Collixjes of Science â€” Coutiuued.

Geometry. First four

books.

Geometry. Ninebooks

of Davies' Lfigeiuire.

4. Plane Geometry (a). Logical basis of geometry iu its

axioms and definitions ; relations of angles and of triangles ;

e(iual figures; jjarallels and parallelograms; properties of

polygons; properties of the circle; inscribed and circum-

scribed figures; areas of rectangles and of piano figures;

ratio and proportion ; linear proportion, and proportion of

I areas; similar figures.

(6). Properties of inscribed and circumscribed regular

polygons; construction of regular polygons; perimetere

and areas of regular i)olygons ; circumference and area of

the circle ; methods of the determination of YT i problems.

The subject of isoperimetrical polygons may be omitted.

Geography.

History of United

States.

Geography.

History

States.

The general facts of Physical and Political Geog-

raphy.

History of the United St.\.tes; History of England.

The following sugges-

tions are made for the

guidance of those who

are able to do more than

master the requisites

above stated :

Although no require-

ments iu Natural Science

are specified, the study

of Local Botany, Miner-

alogy, and Natural His-

tory is earnestly recom-

mended, both because of

the knowledge which

may be acquired, and be-

cause of the habits of

accurate observation of

nature which may thus

be formed in early youth.

Students are advised to

devote at least one year

to the study of Latin be-

fore entering this depart-

ment. It will greatly

help their acquisition of

Modern Languages, and

will be useful in their

study of science. Allen

& Greenough's Grammar

and Reader are especially

commended as good man-

uals for this purpose.

Proficiency in some one

or more of the Modern

Languages is also very

desirable.

The following sugges-

tions are made for the

guidance of those who

are able to do more than

master the reciuisites

above stated:

Although no require-

ments iu Natural Science

are specified, the study

of Local Botany, Miner-

alogy, and Natural His-

tory is earn(!stly recom-

mended, both because of

the knowledge which

may be acquired, and be-

cause of the habits of

accurate observation of

nature Avhicli may thus

be foitaed in early youth.

Students are advised to

devote at least one year

to the study of Latin be-

fore entering this depart-

ment. It will greatly

help their acquisition of

Modern Languages, and

will be useful in their

study of science. Allen

& Greenough's Grammar

and Reader are especially

commended as good man-

uals for this purpose.

Proficiency in some one

or more of the Modern

Languages is also very

desirable.

Any two of the following subjects:

(1) Physics. The elements of Physics (Avery's Natural

Philosophy, Peck's Ganot's Introductory Course of Natural

Philosophy, or an equivalent).

(2) Chemistiy. The elements of Chemistry (Eliot and

Storer's Chemistry, Avery's Elementary Chemistry, or a

thorough acquaintance with Mead's Chemical Primer). An

examination on the more advanced chemistry will be offered

to any who wish it. A successful completion of this exam-

ination will give the student admission to the chemical

laboratory.

Applicants who pass with honors in Chemistry will be

put iu an advanced division.

{?>) Botany. The elements of Botany. An accurate

knowledge of Part I of Gray's How Plants Grow, together

with an acquaintance witli the moi-e prominent native or

cultivated plants, tlieir structure and botanical affinities.

(4) Physiology. The elements of Physiology (Hutchin-

son's, or an equivalent).

(5) Free-liand Drawing. Line drawing from models,

copying of patterns, etc. Particular attention is given to

correctness of form and smoothness of outline. The en-

deavor will be to test the applicant in that free-hand use of

the pencil which will be of most immediate value to him

in pursuing the subject of mechanical draw-ing and map-

ping.

(0) Mineralogy. The elements of Mineralogy. A good

knowledge of the physical properties of minerals in gen-

eral. Al)ility to determine by tlieir physical properties

alone tweuty-five of the commonest minerals, and to give

reasons for determination. First seventy-two pages of

Nicol's Manual of Mineralogy, or first seventy-five pages of

Dana's, third edition.

(7) Plane Trigonometry. The development of the gen-

eral formulae of plane trigonometry, solution of plane

triangles, and practice in tlie use of logarithmic tables.

Four-place logarithmic tables are furnisheil for use in the

examination.

REQUIREMENTS FOR ADMISSION TO THE CLASSICAL COURSE.

Arithmetic. Higher

Arithmetic in all its

branches, including the

extraction of square and

cube roots, and the met-

ric system of weights

and measures.

Arithmetic. Higher

Arithmetic in all its

branches, including the

extraction of square and

cube roots, and the metric

system of weights and

measures.

Arithmetic. Prime and composite numbers ; divisibility

of numbers ; factors, multiplication and division by factors ;

common divisors, multiples; fractions; decimals, including

percentage, simple and compound interest, and discount ;

compound numbers and the metric system; involution,

square root. Tlie teclinical parts of Commercial Arith-

metic â€” such as banking, profit and loss, commission, taxes,

duties, stocks, insurance, exchange, average of payments â€”

may be omitted.

26

Rkquirkmkxts fou Admission to the Classicai, Course â€” Coutinued.

Algebra. To Quad-

ratics.

Ai.fiEiiRA. To Quad- Algebr.v. The definitions and explanations of the laws

ratios. | of signs in the four fundanientiil operations ; theory of

division of polynomials; factoring ; highest coinnion factor

and lowest common multiple; fractions; simple and frac-

tional equations ; definition of the roots of an equation ;

simultaneous equations of the first degree ; elimination by

comparison, by substitution, and by addition or subtraction ;

inequalities; involution and evolution; fractional and neg-

ative exponents; radical expressions and surds; reduction

and rationalization of surds.

Geohetky. Foui- Books.

Geometry. Four Books. Geometry. Logical basis of geometry in its axioms and

definitions ; relations of angles and of triangles ; equal fig-

ures; parallels and parallelograms; properties of polj'gons;

properties of tlie circle ; inscribed and circumscribed figures;

areas of rectangles and of plane figures; ratio and propor-

tion ; linear proportion, and proportion of areas ; similar

figures.

Geogbapuy. The general facts of Physical and Political

Geography ; Ancient Geography.

History or United

States.

History of United

States; Greek and Ro-

man History.

History of United Stater. Greek History to the death

of Alexander ; Roman History to the death of Gommodus.

English Grammar.

English

Rhetoric.

Grammar ;

English. Candidates will be required to write a short

composition, correct in spelling, i)unctuation, grammar, and

division into paragraphs, upon a subject announced at the

time of the examination. They Avill also be required to

analyze sentences from the works used in preparation, and

to pass an examination on Kellogg's Text-Book on Rhetoric

as far as Lesson 72.

For 1884 and 1885 the subjects will be taken from the fol-

lowing works: Tom Brown's School Days at Rugby;

Irving's Sketch Book ; Dickens' Christmas Stories ; Scott's

Lady of the Lake and Kenilworth ; Shakespeare's Merchant

of Venice and Julius Caesar.

â€¢L.\TIN. Ca?8ar; four

books of the Gallic War.

Latin. Cwsar ; four

books of the Gallic War.

Latin. Ca'sar; four books of the Gallic War, or two

books of the Civil War.

Cicero ; six orations.

Cicero ; six orations.

Cicero ; six orations.

Vergil, Eclogues, six

books of the .Slneid.

Vergil, Eclogues,

Georgics, and six books

of the jEueid.

Vergil ; six books of the .?5neid.

Latin Grammar,

eluding Prosody.

Latin Grammar, in-

cluding Prosody.

Questions on the subject-matter, on construction, on

grammatical forms, and on Prosody, will form a part of the

examination in Caesar, Cicero, and Vergil.

Translation into Latin of simple English sentences, suit'

able to those who have taken Jones' Latin Comjiosition.

Translation at sight of easy Latin Prose (with reasonable

help in vccabulary and notes).

Greek. Xenophon's

Anabasis, three books.

Homer's Iliad, two 1

books (omitting cata- |

logue of shipsj.

Greek. Xenophon's

Anabivsis, four books.

Homer's Iliad, two

books (omitting catalogue

of sliip.s).

Greek. Xenophon's Anabasis, four books, or the first

111 pages of Goodwin's Greek Reader.

Homer's Iliad, two books (omitting catalogue of ships).

I Jones' Greek Composi-

i tion.

Translation into Greek of simple sentences suited to the

proficiency of those who have completed Jones' Greek

Prose Composition.

27

Beqi'IHEments ron Apmission to thk Ciâ€ž\ssh.'AI. Coursk â€” Continued.

Greek Grammar, in- ; Greek Grammar, iu- j Questions on the subject-matter, on construction, on

eluding Prosody. j cludin;;; Prosody. grammatical forms, and on Prosody, will form a part of tlie

examinations in the Anabasis and Homer.

Translation at sight of easy Greek Prose (with reasona-

ble help in vocabulary and notes).

REQUIREMENTS FOR AB3IISSI0N TO LITERARY COURSE.

Sequirements the same

as for Colleges of Science.

Proficiency in some

language besides English

expected.

liequirements the same

as for Colleges of Science,

with the addition of

Latin Grammar and

Reader; Cwsar, four

books; Greek and Ro-

man History.

Elementaiy acquaint-

ance with some modern

language recommended.

Requirements tlie same as for Classical Course, except

that two Natural Sciences are substituted for Greek.

Age of students Admitted.

The average age of students admitted to the Freshman Class in

1882 was 18 years 1 month; in 1883 it was 18 years 5.9 months; and

in 1884 it was 18 years 6.5 months, showing that our requirements for

admission continue to secure students of good maturity. A standard

that secures students of this mature age is of course maintained at a

sacrifice in the number of students; but it does not, I trust, admit of

question that such a standard should be maintained, and that the

lower grade of instruction, vastly important though it is, should be

left to other schools.

Percentage of Students Conditioned.

In the following table will be found the number of students admit-

ted from diploma schools â€” that is, schools whose graduates, upon the

personal recommendation of the Principal, are admitted without

examination â€” and of those that were examined, the percentage admit-

ted without conditions, the percentage admitted with conditions, and

the percentage rejected; also, the percentage conditioned in the sev-

eral subjects of the admission examinations. In 1882, United States

history and geography were counted as a single subject, as were also

Caisar, Latin at sight, and Latin composition. The blanks in the

ta*ble indicate this fact with respect to these and the other subjects

(2) Those who wish to equip themselves as teachers of mathematics.

(3) Those who, intending to make physical research (theoretical or

practical) their chief occupation, wish a thorough mathematical prep-

aration.

21

(4) Those who, intending to become mechanical, mining civil or

manne engineers, wish a more thorough mathematical training than

IS possible 111 the short time allotted to mathematical study in the

regular undergraduate courses in the engineering departments

It IS proposed to make the course sufficiently thorough to enable

the student, without further preparation, to attend with profit such

lecture courses as are now offered at Baltimore, or any of the European

Universities. ^

The following is an outline of the studies which it would be possi-

ble, with our present resources, to incorporate into such a course:

Prescribed Mathematical Studies.

1. Differential and Integral Calculus, four exercises a week, two terms.

â– 2. Analytical Geometr3', one exercise a week, four terms.

3. Determinants and Theory of Equations, two exercises a week, two terms.

4. Differential Equations, three exercises a week, one term.

5. Analytical Geometry of Space, or ) ,,

6. Functions of Complex Variables, j 'â– '"â– ee exercises a week, one term.

7. Analytical Mechanics, four exercises a week, two terms.

8. Physics, three exercises a week, two terms.

9. Physical Laboratory, three exercises a week, three terms.

Other Prescribed Studies.

3. English, four exercises a week, two terms.

2. Twenty themes.

3. German or French, four exercises a week, four terms.

Of Mathematical Elective Work.

Six exercises a week during the first term, and three during the second term of the third

fubjecte "'^ ""'"^ ' ^^'"'"' "^ ^^^^ '"'"'"â– ^^ ^''''^'â– ' ^""^ choice to be made from the following

GEOMKTRY.

1. Modern Synthetic Geometry.

2. Analytical Geometry of Space.

3. Higher Plane Curves.

4. Non Euclidean Geometry.

5. Quaternions.

ALGEBRA AND ANALYSIS.

6. Modern Higher Algebra (Homogeneous Forms, Invariants, Covariants, etc.)

7. Ineory of Substitutions and of Algebraic Equations.

8. Applications of Calculus to the Geometry of Curves and Surfaces

9. Functions of Complex Variables.

10. Theory of Elliptic Functions. â–

11. Riemann's Theory.

12. Calculus of Variations.

13. Partial Differential Equations.

14. Theory of Quaternion Functions.

15. Theory of Numbers.

Of other Elective Work.

Four exercises a week during the first year, three during the second, and six during the

Berkele " â€¢^''''"'^' ""^ *Â° ^"^ '"^""^^ '^ ''"^' Â°^ *''" ^''"^'^^ *^^"Slit in the coIle|es at

With our present teaching force, the full number of exercises per

week here indicated could not be provided for, but the mathematical

work of the feenior year will be conducted mainly without recitations

or lectures. Ihe student will be required to master certain assigned

subjects and will be directed to the original sources for his info?ma-

tion and his progress will from time to time be tested by examination

btudents who complete the course by electing the Latin and Greek

prescribed in the first two years of the classical course, would be eli-

22

gible to the degree of Baclielor of Arts; other graduates of the course

would naturally receive the degree of Bachelor of Science.

The course is in the line of University development, and, if adopted

by the Academic Senate, will deserve every encouragement at the

hands of the Board of Regents.

English.

It is not necessary that I should speak in detail of the work of the

different Chairs in the University, but I conceive the work in Eng-

lish to be so important as to warrant some special mention. I am free

to say, that I consider the study of English to be the most important

study, not only in our secondary schools, but in the University. 1

am, therefore, glad to feel that Ave may fairly claim to be giving to

the subject its proper recognition, and that we may willingly invite

attention to the course of study offered.

The requirements of the department have, indeed, at times severely

taxed the students, and have sometimes been thought too severe. The

work has, however, been reasonably well done, and the results that

have followed have been highly satisfactory.

It is believed, that with the better preparation that has already

begun to appear in the preparatory schools, the work required at the

University will not be found too difficult.

But whether too difficult under present conditions or not, it is

certainly not more than should be comprised in a properly' devised

college course. If, however, the work has taxed the students, it has

yet more taxed the instructors. The class-room work is but a small

fraction of the work to be done in this department, and it is altogether

the least laborious^ and wearing. Work in English cannot be satis-

factorily done witliout much and careful theme work, and no one

who has not had experience can know how exhausting it is to correct,,

day after day and week after week, even the most carefully prepared

papers.

It is quite impossible for a professor and one instructor to do the

work laid out in this department. For the last two years, the partial

service of an assistant in English has been secured in correcting

themes. This should be made a permanent position, and should be

advanced to that of a full instructorship. I am confident that it

cannot be necessary to urge the importance of strengthening this

department at the earliest possible moment that our finances will

permit.

Germmi.

The professor of German has a larger attendance upon his exercises

than any other instructor in the University, with the exception of the

Professor of Military Science. In order to give to his several classes

the time that is allotted to them in the several colleges and courses, he

is compelled to make larger divisions than are felt to be advantage-

ous. Many of them should be halved. This, however, cannot be

done without the assistance of an instructor.

Botany.

The importance of providing instruction in Botany is known to the

Board and fully appreciated by it, but want of means makes the

appointment of an instructor at present out of the question.

23

Drawing.

So also the importance of strengthening the department of drawing

so that all students who choose may leave the University with suffi-

cient skill to fit them to take employment at once in the draughting

room, has been carefully considered, and is fully recognized in a

resolution of the Board authorizing the employment of suitable

assistance, but here again the Board was compelled to defer action for

the want of funds.

Pedagogics.

The importance of Pedagogics as a department of University work

is tardily receiving proper recognition in some of the best Univer-

sities in the East. I regret that the University of California cannot

be among the first to undertake this important work. I can only

hope, by now drawing attention to the subject, to bespeak for it proper

recognition as soon as the finances of the Board will permit.

Entomology.

There is probably no subject in which expert knowledge and expert

teaching are more needed in the State than in entomology. Indeed,

its importance is such that the State may confidently be expected to

make proper provision for a Chair of Entomology in the University.

Library and Art Gallery.

There were twenty-five thousand nine hundred and seven bound

volumes and five thousand two hundred pamphlets in the library

August 1, 1884. Four thousand three hundred and twenty-six volumes

have been added to the library during the two last years, mostly, as

heretofore, books of reference. There were also added eleven hun-

dred and ninety-eight pamphlets. The income from the Reese Fund,

amounting still to $3,000 a year, is the only income upon which the

library may depend. This is hardly more than enough to supply its

barest needs. Up to this time there has been no Chair of Philosophy in

the Universitj^ and as a consequence, the Department of Philosophy

has received little attention in library purchases. The filling of the

Mills' Chair of Philosoph}', therefore, makes necessary a special

appropriation from the library fund, and so far limits the usual range

of purchases in other departments. This fact, and the importance of

adding to the library more rapidlj' than is possible with the current

income, are certainly sufficient grounds for the recommendation on

the part of the Library Committee and the Board of a special appro-

priation of $10,000 for library purposes.

The Art Gallery is indebted to Mr. Charles Mayne for two very

beautiful and very valuable oil paintings â€” the joint ,work of J. B.

Klombeck and Eugene Verbockhoven.

Admission Examinations.

The requirements for admission to the several colleges have not

been materially' altered during the period covered by this report.

They are essentially the same as those of the best colleges in the East.

The following table contains a comparative statement of the require-

ments for admission in 1875, 1880, and 1884, compiled from the three

Registers of those years. The more detailed statements were in some

24

cases inserted in the last Register for the benefit of teachers and

school boards contemplating the establishment of schools, and of

courses directh' preparatory to the University, and in order that no

ambiguity might arise concerning what is expected of candidates

who present themselves for examination:

KKQUIREMEN'TS FOR ADMISSION* TO AXV iiXE nV THE COLLEGES OF SCIEXCE.

English Gbammae.

English Grammar.

1. English. Caudidates will be required to write a short

composition, correct in spelling, punctuation, gi'ammar,

and division into paragraphs, upon a subject announced at

the time of the examination. They will also be required

to analyze sentences from the works used in preparation,

and to i)a.ss an examination on Kellogg's Text-Book on

Bhetoric as far as Lesson "i'l.

For 1884 and 1885 the sulijects will be taken from the

following works: Tom Brown's School Days at Eugby;

Irving'S Sketch Book ; Dickens' Christmaa Stories; Scott's

Lady of the Lake and Kenilworth ; Shakespeare's Mer-

chant of Venice and Julius Ci^sar.

14. English. The examination in English will presup-

pose thorough study of the selections named below. The

candi<late should be prepared to elucidate in full the mean-

ing of any passage in the works assigned ; to paraphrase

such a pajKsage ; to point out the rhetorical figures in it ; to

answer questions concerning the lives of the authors, and

the suliject-matterand structure of the works studied. The

history of words should also receive attention ; Skeat's

Etymological Dictiouarj' being taken as the authority. For

the jiresent. the examination in word-ilerivation wiU be

limited to Sjienser's Prothalamion.

The examination will extend over two periods of an hour

and a half each. Signal failure in this examination alone

will subject the applicant to exclusion from the Course in

Letters and Political Science.

The examination in 1884 will be upon the following

selections: American Prose ; American Poems; Sir Roger

deCoverley; Milton's L'Allegro and 111 Penseroso; Byron's

Prisoner of Chillou; Goldsmith's Deserted Village and

Traveler : Burns' Cotter's Saturday Night : Scott's Lay of

the Last Minstrel; Bacon's Essays of Truth, of Revenge,

of Envy, of Boldness, of Ti-avel, of Kiches, and of Studies;

and Macaulay's Essay on the Pilgrim's Progress.

Arithmetic. Higher

Arithmetic in all its

branches, including ex-

traction of square and

cube roots, and the met-

ric system of weights

and measures.

Algebra. To Quad-

ratic Equations.

Arithmetic. Higher

.Arithmetic in all its

branches, including ex-

traction of s<iuare aud

cube roots, and the met-

ric system of weights

and measures.

Algebra. Through

Quadratic Equations.

2. Arithmetic. Prime and composite numbers; divisi-

bilitj- of numbers; factors, multiplication aud division by

factors; common divisors, multiples; fractions; decimals,

including percentage, simple and compound interest, and

discount ; comi>oun<l numbers and the metric system ;

involution, square root. The technical parts of Commer-

cial Arithmeticâ€” such as banking, profit and loss, commis-

sion, taxes, duties, stocks, insurance, exchange, average of

paj'uients â€” maj' be omitted.

3. Algebra (a). The definitions aud explanations of the

laws of -signs in the four fundamental operations; theory

of division of polynomials; factoring; highest common

factor and lowest common multiple; fractions; simple and

fractional equations; definitiop of the roots of an equa-

tion; simultaneous eijuations of the firet degree; elimina-

tion by comparison, by substitution, and by addition or

subtraction; inequalities; involution and evolution; frac-

tional and negative exponents; radical expressions and

surds; reduction and i-ationalization of surds.

(b). The theory and solution of quadratic equations;

solution of equations which may be reduced to the quad-

ratic form; resolution of quadratic equations by inspection

and by factoring; foi-mation of equations having given

roots ; character of imaginary roots of an equation ; reduc-

tion of irrational equations to the normal quadi-atic form ;

solution of simultaneous quadratic equations; problems.

25

Kequirements for Admission to any One of the Collixjes of Science â€” Coutiuued.

Geometry. First four

books.

Geometry. Ninebooks

of Davies' Lfigeiuire.

4. Plane Geometry (a). Logical basis of geometry iu its

axioms and definitions ; relations of angles and of triangles ;

e(iual figures; jjarallels and parallelograms; properties of

polygons; properties of the circle; inscribed and circum-

scribed figures; areas of rectangles and of piano figures;

ratio and proportion ; linear proportion, and proportion of

I areas; similar figures.

(6). Properties of inscribed and circumscribed regular

polygons; construction of regular polygons; perimetere

and areas of regular i)olygons ; circumference and area of

the circle ; methods of the determination of YT i problems.

The subject of isoperimetrical polygons may be omitted.

Geography.

History of United

States.

Geography.

History

States.

The general facts of Physical and Political Geog-

raphy.

History of the United St.\.tes; History of England.

The following sugges-

tions are made for the

guidance of those who

are able to do more than

master the requisites

above stated :

Although no require-

ments iu Natural Science

are specified, the study

of Local Botany, Miner-

alogy, and Natural His-

tory is earnestly recom-

mended, both because of

the knowledge which

may be acquired, and be-

cause of the habits of

accurate observation of

nature which may thus

be formed in early youth.

Students are advised to

devote at least one year

to the study of Latin be-

fore entering this depart-

ment. It will greatly

help their acquisition of

Modern Languages, and

will be useful in their

study of science. Allen

& Greenough's Grammar

and Reader are especially

commended as good man-

uals for this purpose.

Proficiency in some one

or more of the Modern

Languages is also very

desirable.

The following sugges-

tions are made for the

guidance of those who

are able to do more than

master the reciuisites

above stated:

Although no require-

ments iu Natural Science

are specified, the study

of Local Botany, Miner-

alogy, and Natural His-

tory is earn(!stly recom-

mended, both because of

the knowledge which

may be acquired, and be-

cause of the habits of

accurate observation of

nature Avhicli may thus

be foitaed in early youth.

Students are advised to

devote at least one year

to the study of Latin be-

fore entering this depart-

ment. It will greatly

help their acquisition of

Modern Languages, and

will be useful in their

study of science. Allen

& Greenough's Grammar

and Reader are especially

commended as good man-

uals for this purpose.

Proficiency in some one

or more of the Modern

Languages is also very

desirable.

Any two of the following subjects:

(1) Physics. The elements of Physics (Avery's Natural

Philosophy, Peck's Ganot's Introductory Course of Natural

Philosophy, or an equivalent).

(2) Chemistiy. The elements of Chemistry (Eliot and

Storer's Chemistry, Avery's Elementary Chemistry, or a

thorough acquaintance with Mead's Chemical Primer). An

examination on the more advanced chemistry will be offered

to any who wish it. A successful completion of this exam-

ination will give the student admission to the chemical

laboratory.

Applicants who pass with honors in Chemistry will be

put iu an advanced division.

{?>) Botany. The elements of Botany. An accurate

knowledge of Part I of Gray's How Plants Grow, together

with an acquaintance witli the moi-e prominent native or

cultivated plants, tlieir structure and botanical affinities.

(4) Physiology. The elements of Physiology (Hutchin-

son's, or an equivalent).

(5) Free-liand Drawing. Line drawing from models,

copying of patterns, etc. Particular attention is given to

correctness of form and smoothness of outline. The en-

deavor will be to test the applicant in that free-hand use of

the pencil which will be of most immediate value to him

in pursuing the subject of mechanical draw-ing and map-

ping.

(0) Mineralogy. The elements of Mineralogy. A good

knowledge of the physical properties of minerals in gen-

eral. Al)ility to determine by tlieir physical properties

alone tweuty-five of the commonest minerals, and to give

reasons for determination. First seventy-two pages of

Nicol's Manual of Mineralogy, or first seventy-five pages of

Dana's, third edition.

(7) Plane Trigonometry. The development of the gen-

eral formulae of plane trigonometry, solution of plane

triangles, and practice in tlie use of logarithmic tables.

Four-place logarithmic tables are furnisheil for use in the

examination.

REQUIREMENTS FOR ADMISSION TO THE CLASSICAL COURSE.

Arithmetic. Higher

Arithmetic in all its

branches, including the

extraction of square and

cube roots, and the met-

ric system of weights

and measures.

Arithmetic. Higher

Arithmetic in all its

branches, including the

extraction of square and

cube roots, and the metric

system of weights and

measures.

Arithmetic. Prime and composite numbers ; divisibility

of numbers ; factors, multiplication and division by factors ;

common divisors, multiples; fractions; decimals, including

percentage, simple and compound interest, and discount ;

compound numbers and the metric system; involution,

square root. Tlie teclinical parts of Commercial Arith-

metic â€” such as banking, profit and loss, commission, taxes,

duties, stocks, insurance, exchange, average of payments â€”

may be omitted.

26

Rkquirkmkxts fou Admission to the Classicai, Course â€” Coutinued.

Algebra. To Quad-

ratics.

Ai.fiEiiRA. To Quad- Algebr.v. The definitions and explanations of the laws

ratios. | of signs in the four fundanientiil operations ; theory of

division of polynomials; factoring ; highest coinnion factor

and lowest common multiple; fractions; simple and frac-

tional equations ; definition of the roots of an equation ;

simultaneous equations of the first degree ; elimination by

comparison, by substitution, and by addition or subtraction ;

inequalities; involution and evolution; fractional and neg-

ative exponents; radical expressions and surds; reduction

and rationalization of surds.

Geohetky. Foui- Books.

Geometry. Four Books. Geometry. Logical basis of geometry in its axioms and

definitions ; relations of angles and of triangles ; equal fig-

ures; parallels and parallelograms; properties of polj'gons;

properties of tlie circle ; inscribed and circumscribed figures;

areas of rectangles and of plane figures; ratio and propor-

tion ; linear proportion, and proportion of areas ; similar

figures.

Geogbapuy. The general facts of Physical and Political

Geography ; Ancient Geography.

History or United

States.

History of United

States; Greek and Ro-

man History.

History of United Stater. Greek History to the death

of Alexander ; Roman History to the death of Gommodus.

English Grammar.

English

Rhetoric.

Grammar ;

English. Candidates will be required to write a short

composition, correct in spelling, i)unctuation, grammar, and

division into paragraphs, upon a subject announced at the

time of the examination. They Avill also be required to

analyze sentences from the works used in preparation, and

to pass an examination on Kellogg's Text-Book on Rhetoric

as far as Lesson 72.

For 1884 and 1885 the subjects will be taken from the fol-

lowing works: Tom Brown's School Days at Rugby;

Irving's Sketch Book ; Dickens' Christmas Stories ; Scott's

Lady of the Lake and Kenilworth ; Shakespeare's Merchant

of Venice and Julius Caesar.

â€¢L.\TIN. Ca?8ar; four

books of the Gallic War.

Latin. Cwsar ; four

books of the Gallic War.

Latin. Ca'sar; four books of the Gallic War, or two

books of the Civil War.

Cicero ; six orations.

Cicero ; six orations.

Cicero ; six orations.

Vergil, Eclogues, six

books of the .Slneid.

Vergil, Eclogues,

Georgics, and six books

of the jEueid.

Vergil ; six books of the .?5neid.

Latin Grammar,

eluding Prosody.

Latin Grammar, in-

cluding Prosody.

Questions on the subject-matter, on construction, on

grammatical forms, and on Prosody, will form a part of the

examination in Caesar, Cicero, and Vergil.

Translation into Latin of simple English sentences, suit'

able to those who have taken Jones' Latin Comjiosition.

Translation at sight of easy Latin Prose (with reasonable

help in vccabulary and notes).

Greek. Xenophon's

Anabasis, three books.

Homer's Iliad, two 1

books (omitting cata- |

logue of shipsj.

Greek. Xenophon's

Anabivsis, four books.

Homer's Iliad, two

books (omitting catalogue

of sliip.s).

Greek. Xenophon's Anabasis, four books, or the first

111 pages of Goodwin's Greek Reader.

Homer's Iliad, two books (omitting catalogue of ships).

I Jones' Greek Composi-

i tion.

Translation into Greek of simple sentences suited to the

proficiency of those who have completed Jones' Greek

Prose Composition.

27

Beqi'IHEments ron Apmission to thk Ciâ€ž\ssh.'AI. Coursk â€” Continued.

Greek Grammar, in- ; Greek Grammar, iu- j Questions on the subject-matter, on construction, on

eluding Prosody. j cludin;;; Prosody. grammatical forms, and on Prosody, will form a part of tlie

examinations in the Anabasis and Homer.

Translation at sight of easy Greek Prose (with reasona-

ble help in vocabulary and notes).

REQUIREMENTS FOR AB3IISSI0N TO LITERARY COURSE.

Sequirements the same

as for Colleges of Science.

Proficiency in some

language besides English

expected.

liequirements the same

as for Colleges of Science,

with the addition of

Latin Grammar and

Reader; Cwsar, four

books; Greek and Ro-

man History.

Elementaiy acquaint-

ance with some modern

language recommended.

Requirements tlie same as for Classical Course, except

that two Natural Sciences are substituted for Greek.

Age of students Admitted.

The average age of students admitted to the Freshman Class in

1882 was 18 years 1 month; in 1883 it was 18 years 5.9 months; and

in 1884 it was 18 years 6.5 months, showing that our requirements for

admission continue to secure students of good maturity. A standard

that secures students of this mature age is of course maintained at a

sacrifice in the number of students; but it does not, I trust, admit of

question that such a standard should be maintained, and that the

lower grade of instruction, vastly important though it is, should be

left to other schools.

Percentage of Students Conditioned.

In the following table will be found the number of students admit-

ted from diploma schools â€” that is, schools whose graduates, upon the

personal recommendation of the Principal, are admitted without

examination â€” and of those that were examined, the percentage admit-

ted without conditions, the percentage admitted with conditions, and

the percentage rejected; also, the percentage conditioned in the sev-

eral subjects of the admission examinations. In 1882, United States

history and geography were counted as a single subject, as were also

Caisar, Latin at sight, and Latin composition. The blanks in the

ta*ble indicate this fact with respect to these and the other subjects

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83