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F. Advanced Algebra.

Dr. Woods. The progressions and other simple series; theory and practice of

logarithms; theory of quadratic equations; complex quantities; mathematical induction; the binomial theorem. This course is

equivalent to matriculation subject 4a ́. 2 units. M Tu W Th F, 9. 21 North Hall.

S3. Differential Calculus.

Dr. WRIGHT.

The fundamental principles and formulae of the differential calculus,

with application to various problems of geometry, analysis and mechanics. 2 units, or (through additional work), 3 units; the

latter being equivalent to course 3B of the regular session. M Tu W Th F, 10. 18B North Hall.

104. Integral Calculus.

Dr. Woods. The fundamental principles and formulae of the integral calculus, with

applications to geometry. 2 units, or (through additional work),

3 units. M Tu W Th F, 8. 21 North Fall.

106. Projective Geometry.

Professor EMCH. Introduction to the methods of projective geometry, including a dis

cussion of the relation between projective and metric geometry.

2 units. M Tu W Th F, 11. 14 North Hall.

S110A. Differential Equations.

Professor HASKELL. Theory and practice of the differential equations, both ordinary and

partial, occurring in geometry, mechanics and mathematical physics. 2 units.

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211. Selected Topics in Modern Mathematics. Professor HASKELL. Seminary for the discussion and investigation of various branches of

mathematics, adapted to the preparation and inclination of the individual members of the class. Young's "Monographs on Modern Mathematics'' should be in the hands of each member of the class. Credit value 2 units or more, according to amount and quality of work done.

M Tu W Th F, 10. 10 North Hall.

MECHANICAL AND ELECTRICAL ENGINEERING

HARMON F. FISCHER, B.S., Assistant Professor of Electrical Engineering REUBEN S. Tour, B.S., Instructor in Gas Engineering.

Sla. Elements of Steam Engineering.

Mr. TOUR. Fundamental thermodynamics of steam and gases, with study of steam

tables and diagrams. Reciprocating steam engines, simple and compound, their operation and testing. Steam turbines, their classification and theory. The study of fuels and combustion. Boilers, their types, classification, operation and testing, including study of furnaces and draught. Steam auxiliaries and incidentals such as water purification, feed-water heaters, condensers, etc. Lectures

and problems. 1 unit. MW F, 10. 1 Mechanics Building.

S1 B. Elements of Electrical Engineering. Assistant Professor FISCHER.
A review of the fundamental principles of direct and alternating

current generation, distribution and utilization, with special
emphasis dir ted to the development of practical methods.

unit. MW F, 9. 1 Mechanics Building.

2. Internal Combustion Engines.

Mr. TOUR. Oil engines, automobile engines, and gas engines. General theory and

operation of internal combustion engines, including consideration of fuels, combustion, explosion, ignition, etc. Regulation and test

ing of engines. Lectures and problems. 1 unit. Tu Th, 11. 1 Mechanics Buiding.

3. Selected Topics in Electrical Engineering.

Assistant Professor FISCHER. Lectures and discussions on special electrical engineering subjects

which cannot be treated at length in course S1B. 1 unit. MW F, 11. 1 Mechanics Building.

MUSIC

ARTHUR FOOTE, M.A., Lecturer in Music in the Summer Session.
Mrs. LAURETTA V. SWEESY, Lecturer in Music in the Summer Session.
EDWARD G. STRICKLEN, Assistant in Music.
GLENN Woods, Supervisor of Music in the Oakland Public Schools.
IRVING W. Jones, Instructor in Music, University of Wisconsin.
CATHARINE E. STROUSE, Supervisor of Music, Kansas State Normal School,

Emporia, Kansas.
CARRIE V. TrusLOW, First Assistant Supervisor of Music, Los Angeles

Public Schools.
ALICE C. BUMBAUGH, Teacher of Music, John C. Fremont High School,

Oakland.
OLIVE B. Wilson, Assistant in Music in the Summer Session.

1. Tone Thinking and Notation.

Miss TRUSLOW. Recognition of familiar folk songs and national airs leading up to

the recognition of melodies from the great masters. The aim is to quicken the appreciation of music, to supply the basis for musical thought and structural work. Daily written work; dictation in both major and minor scales and their arpeggios; note values and rests, given in rhythmic groupings. For this course no technical knowl

edge of music is prerequisite. 2 units. M Tu W Th F, 8. Hearst Mining Building.

2. Sight Singing.

Miss TRUslow. Sight singing, beginning with the elementary facts gradually leading

up to part singing. Open to students who have no previous knowledge of musie, as well as to those seeking greater skill in sight

singing. 2 units. M Tu W Th F, 9. Hearst Mining Building.

S3C-D. History of Music.

Mr. FOOTE. Semi-civilized music; mediaeval music; Greek art; the old modes;

sixteenth century music; England, Italy, and the first operas; chords and the beginnings of harmony; Handel; Bach; sonata form; Haydn; Mozart; Gluck and dramatic music; Beethoven; Schubert and the German art song, with examples from Schubert, Franz, Jensen, Henschel, Wolf, Strauss and others; Mendelssohn, Schumann, Weber, Berlioz, Liszt, Brahms; Meyerbeer to Wagner; Tschaikowsky; Grieg and national color; Dvorák, Sibelius, Richard Strauss, Schoenberg, the modern French school. Cesar Franck, Bizét, Saint-Saens, Debussy, D'Indy, Ravel and others; united Italy: Verdi, Boito, Mascagni, Leoncavallo, Puccini, Montemezzi and others; Russian, Hungarian, and Bohemian music; American musical history to date; general review; the development of the suite, sonata, and concerto; Weber, Schubert and the Romantic tendency; the Volkslied and the development of song; a description of the pianoforte, its musical literature and the influence of Thalberg, Liszt, and Chopin; the modern composers; what music endures;

our hopeful outlook in America. The lectures will be supplemented by musical illustrations chosen

from the foremost composers of each period of musical history, consisting of songs, piano, and ensemble music, for strings and piano, together with a series of organ recitals. Well-known local artists, whose names will be announced later, will assist at the

various lectures. 2 units. M Tu W Th F, 4. 101 California Hall.

S4A. Elementary Harmony.

Miss BUMBAUGH. The course will include a consideration of scales, intervals, triads and

their inversion, harmonization in four voices over a given bass, the dominant seventh chord and its inversions, serial and melodic modulation, directly related keys, harmonization of melodies, suspensions, retardations and other embellishments; construction of melodies from a given germ set, dominant ninth chords, abbrevi. ated dominant seventh and dominant ninth chords, altered chords, cadences and extended cadences, secondary chords of the tonic, dominant and subdominant, construction of melodies over a given bass, imitation, sequences, pedal point. Equivalent to matriculation

subject 21B. 2 units. This course is designed for teachers of music in the public schools,

with special attention given to methods of teaching; it may, how. ever, be elected by any student of music. The class will be divided into two sections—(1) for those who have had no previous instruction in harmony; (2) for those who have some knowledge of the

subject. M Tu W Th F; 2 sections; Sec. 1, 2; Sec. 2, 3. Hearst Mining Building.

S5A. A General Study of Modulation.

Mr. STRICKLEN. The theory and practice of key relations, illustrated from the works

of the masters, ancient and modern; chromatic chords. No special textbook will be used in this course. Prerequisite: A fair knowledge of elementary harmony up to and including the dominant

seventh and a few secondary sevenths. 2 units. M Tu W Th F, 2. Hearst Mining Building.

S5B. Advanced Harmony.

Mr. Foore and Mr. STRICKLEN. An introduction to the resources of modern harmony. Elementary

forms of musical composition: the phrase or initial idea; its expansion and development into periods; the assembling of these into parts; the part forms; the Rondo form; rhythmic, harmonic, and melodic influences, The function of cadences. Textbook, “The Homophonic Forms,” by Goetschius. Prerequisite: A fair general knowledge of harmony. Object: the appreciation of music

from its constructive side, its "architecture''. 2 units. M Tu W Th F, 3. Hearst Mining Building.

6. Tone Perception and Advanced Sight Singing. Miss TRUSLOW. The development of power to recognize, write and sing groups of tones

as given in musical phrases and in chords both in major and minor modes, and in simple modulations. Sight singing from blackboard, octavo music and books, will follow the above work

each day. 2 units. M Tu W Th F, 10. Hearst Mining Building. 7. Music Writing.

Mrs. SWEESY. The development of power to recognize, sing and write groups of

tones dictated in various ways. Beginning with the most simple combinations of rhythm and tone, gradually leading up to the more complex. Practice in the above work will enable students not only to think in musical phrases, but to express in musical symbols

their own conceptions. 2 units. M Tu W Th F, 8. Hearst Mining Building.

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8. Song Material and the Interpretation of Songs. Mrs. SWEESY. The study and interpretation of carefully selected songs to be used

in all grades. Attention will be given to material for glee clubs and for special occasions, such as Thanksgiving, Christmas, and

graduation. 1 unit. M Tu W Th F, 9. Hearst Mining Building.

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