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111A-1111. Electric Discharges through Gases. Professor LEWIS. 111a. Lectures, experimentally illustrated, on phenomena of the flame

and electric arc, spark, and vacuum-tube; and on cathode rays,

Röntgen rays, and radio-activity. 2 hrs., first half-year. Tu Th, 9. Prerequisite: course 2A-2B. This

course is recommended as preliminary to course 211-211c. 1113. Laboratory work for students who wish to supplement course

111a by the individual study of practical problems. 3 or 6 hrs., first half-year.

*112A. Energetics.

Professor SLATE. A non-mathematical account of forms and transformations of energy.

Lectures; open to qualified students. 2 hrs., second half-year.

112B. Heat Measurements.

Associate Professor HALL. Selected problems in thermometry, calorimetry, pyrometry, intensity

of radiation, and general heat measurements, adapted for students in physics, chemistry, and engineering. Laboratory work with

readings and discussions. 2 units, second half-year.

113. Physical Optics.

Associate Professor HALL. Laboratory exercises connected with course 108, and in extension of it. 6 hrs., second half-year; 2 units. Tu Th, 1-4.

114. Advanced Physical Measurement. Associate Professor RAYMOND. Problems involving accurate measurement and mathematical work.

Laboratory exercises twice a week. 6 hrs., first half year; 3 units. Tu Th, 1-4. †118. Special Undergraduate Study.

THE STAFF. All special laboratory work not included in courses announced above.

Credit value to be fixed in each case. By special arrangement, this course may be made the equivalent of parts of the regular laboratory work under courses 1a.ls and 3A-3B.

GRADUATE COURSES. 2069. Harmonic Motion.

Associate Professor RAYMOND. The analytical treatment of vibratory and wave-motion, with applica

tion to sound, light, and electricity. Lectures with experimental

illustrations. 2 hrs., first half-year. Tu Th, 8. Prerequisite: courses 105a, and 105B

or 105c, and course 2A-2B.

* Not to be given, 1911-12.

† May be chosen as upper division and major work by special arrangement only.

211-2110. Spectroscopy.

2068. Electric Waves and Oscillations. Associate Professor RAYMOND. 2 hrs., second half year. Lectures, with experimental illustrations. Prerequisite: course 206A.

Professor LEWIS. 211. Lectures, with experimental illustrations, on methods and results

of investigation, and spectroscopic theories. 2 hrs., second half-year. Tu Th, 9. Prerequisite: course 108. Course

111a will also be found helpful. 211c. Laboratory work for students who wish to familiarize themselves

with the use of spectroscopic apparatus, or to supplement course

211 by the individual study of practical problems. 3 or 6 hrs., second half-year.

*212. Thermodynamics.

Lectures twice a week. First half-year.

Associate Professor HALL.

215. Dynamics of Rotation.

Professor SLATE. Theory of the gyroscope, and related problems.

3 hrs., second half-year. Prerequisite: courses 1054, and 1058 or 105c. *2154. Precession and Nutation.

Professor SLATE. 3 hrs., first half-year, M W F, 10, in alternate years with course 215. Prerequisite:

courses 1054, 105B or 105c and 215. 216. Special Advanced Study and Research.

THE STAFF. Laboratory work throughout the year, on problems assigned according

to the preparation and needs of individual students. Credit value

to be fixed in each case. 217. Readings and Discussions.

Professor SLATE. Work for graduates upon topics selected in consultation. For 1910-11

the special subject was: The vector equations of the electromag

netic field. 2 hrs., throughout the year.

Associate Professor HALL. Designed for prospective teachers of physies. In part a library course,

having the general purpose of gaining some familiarity with sources

of information, and with methods of finding the literature on a 2 hrs., second half-year. S, 10-12.

220. Seminar Course.

giren topic.

* Not to be given, 1911-12.

ASTRONOMY.

ARMIN 0. LEUSCHNER, Ph.D., Sc.D., Professor of Astronomy, and Director

of the Students' Observatory. *RUSSELL T. CRAWFORD, Ph.D., Associate Professor of Practical As

tronomy.
ALEXANDER MCADIE, M.A., Honorary Lecturer on Meteorology.
DANIEL W. MOREHOUSE, M.S., Instructor in Astronomy.
STURLA EINARSSON, A.B., Instructor in Practical Astronomy.
WILLIAM F. MEYER, B.S., Instructor in Astronomy.
ANNA ESTELLE GLANCY, A.B., Watson Assistant in Astronomy.
Sophia H. LEVY, B.S., Watson Assistant in Astronomy.

Special Announcement. A special announcement concerning the facilities and the courses of instruction in the Berkeley Astronomical Department, and in the Lick Astronomical Department, at Mount Hamilton, has been published. Copies may be obtained from the Director of the Lick Observatory, Mount Hamilton, California, or from the Director of the Students' Observatory, Berkeley, California.

Courses 1, 2, and 5 are designed especially to fulfill the requirement in prescribed natural science for students in the colleges of general culture.

A part of courses 1 and 101 consists of special lectures at the regular hour by the Director and Astronomers of the Lick Observatory.

Geodesy, navigation, and nautical astronomy, especially adapted to the needs of students in the College of Commerce, will be included in course 2A.

LOWER DIVISION COURSES.

1. Elements of Astronomy.

Professor LEUSCHNER. An introductory course. General facts and principles underlying the

science of astronomy in all its branches. 2 hrs., either half-year. Tu Th, 11. Prerequisite to Geography 9.

Beginning 1912-1913 this course will be given as a 3-hr. course.

2. Practice in Observing.

Mr. MOREHOUSE and Mr. MEYER. This course is supplementary to courses 1 or 101 or 103A-103B, and is open to students who are taking or have taken any one of these

The student may enroll for from 1 to 4 units by electing one or more of the divisions specified below,

courses.

* Absent on leave, 1911-12.

2A.

Mr. MOREHOUSE. Practical work at the observatory for beginners with special emphasis

on the elementary methods of determining time, latitude and longitude. Navigation and nautical astronomy.

Constellation study. Descriptive observations of celestial objects. Prerequisite to Geog

raphy 9. 3 hrs., either half-year; 1 unit. Th, 7-10 p.m. 2B.

Mr. MOREHOUSE. Practical work at the observatory for beginners with special emphasis

on astrophysical and photographic observations. 3 hrs., either half-year; 1 unit. Alternating weeks: Tu, 7-10 p.m., or

S, 9-12 a.m.

2c. ('ontinuation of course 2A.

Mr. MEYER. 3 hrs., either half-year; 1 unit. M, 7-10 p.m. Prerequisite: course 2A. 2D. Continuation of course 2B.

Mr. MOREHOUSE. 3 brs., either half-year; 1 unit. Alternating weeks: Tu, 7-10 p.m., or

$, 9-12 a.m. Prerequisite: course 2B. 2 E. The subject matter of courses 22 and 2c.

Mr. MEYER. 6 brs., either half-year; 2 units. M, 1-4; W, 27. The subject matter of courses 2B and 2D.

Mr. MOREHOUSE. 6 hrs., either half-year; 2 units. Th, 1-4; W, 7-10 p.m.

7-10 p.m.

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5. History of Astronomy.

Mr. MEYER. 3 hrs., second half-year. MW F, 9. Prerequisite: course 1.

UPPER DIVISION COURSES.

101, Modern Astronomy.

Mr. EINARSSON, the Director and Astronomers of the Lick Observatory. Progress in astronomy through modern methods, especially spectro

scopic and photographic. 3 hrs., second half-year. MWF, 10. For observatory work supplementary to this course students may

eleet course 2B, 2D, or 2F. 1938. General Astronomy.

Mr. MOREHOUSE. 3 hrs., first half-year. MWF, 9. Prerequisite: Mathematics C and

5, and Physics 1A-1B. For observatory work in connection with this course, students may elect one or more sub-divisions of course 2,

101A, or 104B, subject to the prerequisites announced. 103B. General Astronomy.

Mr. MOREHOUSE. Continuation of course 103A. 3 hrs., second half-year. MWF, 10. Prerequisite: course 103A.

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104. Practical Astronomy.

Mr. MOREHOUSE.
Lectures and observatory work. Geodesy, navigation, and nautical

astronomy. Practical work at the observatory with sextant, clock,
chronograph, transit-and-zenith telescope, equatorial telescope,
photographic telescope, reflector, altazimuth instrument. Com-

puting.
7 hrs., either half-year; 3 units. Lectures and recitations, Tu Th, 9;

observatory work, F, 7-10 p.m. Prerequisite: Mathematics C and 5;
Physics 1A-1B; and either course 1 or 103a in astronomy. The course

should also be preceded by a course in differential calculus.
105H. Special Problems in Practical Astronomy. Mr. EINARSSON.
Determination by extended series of observations of the longitude (by

the telegraphic method) and the latitude (by the method of Tal

cott). An honor course. Special assignments, in connection with the regular

exercises of 104 or 114. 5 units. 106h. Theoretical Astronomy.

Professor LEUSCHNER. An honor course. Special assignments, in connection with the regular

exercises of 206. 5 units. Undergraduates in this course are to

register for 106H, not for 206. 107. Method of Least Squares. Mr. EINARSSON and Mr. MEYER. The fundamental principles and processes of the method of least

squares, and their application to the solution of astronomical physi

cal, and engineering problems. 4 hrs., 2 units, first half-year. Lecture Tu or Th, 10. Practical appli

cations; 3 hrs., section I, Tu, 1-4; section II, Th, 1-4. Prerequisite:

working knowledge of the differential and integral calculus. 108. Introduction to Interpolation, Use of Tables, and Mechanical Quadratures.

Mr. EINARSSON.
The more useful formulae of interpolation, and their application in

the use of astronomical and other tables. Development of the
formulae of numerical differentiation and integration, and their
application in the construction of tables. Practice in extensive
numerical computations, with special aim at rapidity and exact-

ness.

3 hrs., first half-year. Tu Th S, 8. Prerequisite: Mathematics 9A or

109B.

109. Interpolation, Use of Tables, and Mechanical Quadratures.

Mr. EINARSSON. 2 hrs., second half-year. Tu Th, 8. Prerequisite: course 108. *110. The Theory of Astronomical Refraction.

Associate Professor CRAWFORD. 2 hrs., first half-year. Hours to be arranged with the instructor. Pre

requisite: course 104a or 104B.

* Not to be given, 1911-12.

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