MATHEMATICS Professors: M. W. HASKELL, D. N. LEHMER, F. CAJORI, C. A. NOBLE, T. M. PUTNAM, Dean of the Lower Division; J. H. MCDONALD, B. A. BERNSTEIN, F. IRWIN, T. BUCK. Instructors: P. SPERRY, F. R. MORRIS. Facilities.-The University Library contains an excellent collection of standard and current works in all branches of mathematics, including complete sets of nearly all the mathematical periodicals and the publications of learned societies. The department has also a good collection of geometrical models. Research. The members of the department and the graduate students are at present engaged in research in number-theory, analytic and synthetic projective geometry, elliptic functions, the foundations of mathematics and the history of mathematics. Some of their results are published in the mathematical series of the University of California publications. Preliminary Requirements.-For admission to graduate courses it is assumed, in general, that the student is well grounded in the differential and integral calculus, including the elements of differential equations; analytic geometry of two and three dimensions, and the elements of projective geometry; theory of algebraic equations. Graduate Courses.-Courses in the theory of functions, in partial differential equations, and in the logic of mathematics are usually offered each year. Courses in the various fields of higher mathematics are offered at longer intervals. The function of these courses is to give an outline of the subject, to direct collateral reading, and to stimulate the student to independent search. In the mathematical seminars candidates for the higher degrees are guided in the preparation of theses. High School Teacher's Recommendation.-The programmes of candidates for recommendation for this certificate should include the following courses: 5, 6, 8, 9, 101, 102, 104, 218, 300. They are advised to elect as many as possible of the following: 109, 111, 112, 114. Master's Degree.-Candidates for the master's degree with mathematics as the major subject are required to enroll in a mathematical seminar for at least four units, and to elect at least one other graduate course in each half-year. Doctor of Philosophy.-Candidates for the degree of Doctor of Philosophy, with mathematics as a major subject, are expected to complete in each of the fields of algebra, analysis, and geometry a full year in the graduate division, and to enroll in the mathematical seminar for at least one year. From this point the work is mainly individual, its character and scope being determined by the tastes and ability of the student. The candidate is strongly urged to select either physics or astronomy as one of his minor subjects. 218A-218B. Logic of Mathematics. Analysis of the foundation Theory of groups of substitutions, with application to the 299. Thesis for the Master's Degree. Seminar. 300. Teaching of Mathematics in Secondary Schools. LEHMER. The Staff. MCDONALD. CAJORI. UPPER DIVISION MAJOR COURSES 101. Elementary Geometry for Advanced Students. 102. Elementary Algebra for Advanced Students. 104A-104B. History of Mathematics. 105. History of Physics. 109A-109в. Calculus, Advanced Course. 110A-110B. Advanced Calculus. 111. Theory of Algebraic Equations. 112. Solid Analytic Geometry. NOBLE. NOBLE. CAJORI. CAJORI. IRWIN. Виск. PUTNAM. PUTNAM. MECHANICAL AND ELECTRICAL ENGINEERING Professors: C. L. CORY, Dean of the College of Mechanics; J. N. LECONTE, Instructors: B. R. VANLEER, L. M. K. BOELTER, G. E. Cox, J. GEORGE. Facilities. The general equipment of the electrical laboratories includes alternating and direct current generators and auxiliaries of sufficient capacity for any work not requiring more than seventy-five kilowatts. These may be used by the graduate student without interfering - with the regular undergraduate testing courses. In addition, the following equipment has been provided for the exclusive use of the graduate student: a fully equipped photometer; an oscillograph, suitable for the observation of transient or steady alternating current phenomena; a Vreeland oscillator; and a standardization laboratory, supplied with Reichsanstalt standards, standard cells, condensers, a Wolff potentiometer, galvanometers, precision transformers, and portable secondary standards. For the study of power transients and surges, the equivalent of approximately twenty-five miles of high tension transmission line with distributed constants, has been duplicated artificially, to which it is expected additions will be made from time to time. Special investigation of telephonic transmission and duplication of transmission line regulation is facilitated by a complete eleven-secton artificial line with "lumped" or concentrated constants. A high frequency and radio laboratory has recently been constructed and equipped. Provision has been made for moderately high potential insulation tests, the equipment including a 10 K. V. A. 60 cycle, 50,000 volt transformer; electrostatic voltmeters, with ranges from 5,000 to 100,000 volts; and a 5 K. W. 500-cycle generator. Every effort will be made to facilitate and meet the requirements of advanced electrical engineering problems. The laboratories for mechanical engineering and its allied subjects have been especially designed for the investigation of problems peculiar to the Pacific Coast. To this end steam engineering laboratories are equipped with necessary facilities for investigating steam power plant problems with a special reference to the use of steam as an auxiliary to hydro-electric practice. A completely equipped power plant, used ordinarily for the generation of power for the university supply, is avail |