MATHEMATICS.

CASSIUS J. KEYSER, Ph. D., Adrain Professor, Head of Department

of Mathematics, Columbia University.

THOMAS M. PUTNAM, Ph.D., Assistant Professor of Mathematics. BALDWIN M. WOODS, M.S., Instructor in Mathematics.

HARRY N. WRIGHT, B.S., Assistant in Mathematics.

Lower Division Courses.

1. College Algebra.

Mr. WRIGHT.

The theory of equations and their numerical solution, inequalities and limits, infinite series, logarithms, complex quantities, the binomial theorem. 2 units.

M Tu W Th F, 11. 18в North Hall.

2. Plane Trigonometry.

Mr. WRIGHT.

The development of the general formulae of plane trigonometry, with application to the solution of triangles and practice in the use of logarithmic tables. 2 units.

M Tu W Th F, 9. 18в North Hall.

This course is equivalent to Course C or to matriculation subject 12a2.

3. Plane Analytic Geometry.

Mr. WOODS.

Introduction to the methods of plane analytic geometry. The straight line and circle, elementary properties of the conic sections, problems in loci, application of graphical methods in the solution of equations. 2 units.

M Tu W Th F, 8. 21 North Hall.

This course is equivalent to Course D or to matriculation subject 12a3.

4. Differential Calculus.

Assistant Professor PUTNAM.

The fundamental principles and formulae of the differential calculus, with applications to various problems of geometry, analysis, and mechanics. 2 units.

M Tu W Th F, 8. 4 North Hall.

While this course will not be fully equivalent to course 9A, or to course 4A, it may be possible in individual cases for students conditioned in differential calculus to remove that condition by satisfactory completion of this course.

105. Integral Calculus.

Upper Division Courses.

Mr. WOODS.

The fundamental principles and formulae of the integral calculus, with applications to geometry.

M Tu W Th F, 9. 21 North Hall.

2 units.

While this course will not be fully equivalent to Course 109,. or to Course 4B, it may be possible in individual cases for students conditioned in integral calculus to remove that condition by satisfactory completion of this course.

106. Modern Theories in Geometry.

Professor KEYSER.

Acquaintance with ordinary analytical geometry of two and three dimensions and the elements of the calculus is presupposed.

The object is to aid the student in acquiring some knowledge of certain modern analytical methods and to orient him in various geometric doctrines. The analytical treatment of cardinal points in projective geometry will lead through the generalized concept of measurement to the discrimination and comparison of the elliptic, parabolic and hyperbolic theories of the plane and of space. The second part of the course will deal with the line, sphere, and circle geometries of space, including some generalizations to higher spaces, with special reference to Euclidean space of four dimensions. It is with the larger aspects of the subject, the mode and principles of its growth and diversification, the general comparative anatomy of allied theories rather than the minute study of a single one, that the course is primarily concerned. 2 units.

M Tu W Th F, 10. 21 North Hall.

Graduate Courses.

207. Theory of Functions of a Complex Variable.

Assistant Professor PUTNAM.

The representation of complex numbers in the plane, the geometric interpretation of the fundamental operations, a study

of the simpler functions and introduction to the general theory; Riemann surfaces, Cauchy's theorem. A knowledge of Calculus is presupposed. 2 units.

M Tu W Th F, 9. 4 North Hall.

208. The Principles of Mathematics.

Professor KEYSER.

The philosophy of mathematics, intended for students who are interested in the critical study of the character and foundations of mathematics regarded as a distinctive type of thought, and in its relations as such to other modes and forms of scientific and philosophic activity. 2 units.

M Tu W Th F, 11. 21 North Hall.

GENERAL SCIENCE.

WILLIAM CONGER MORGAN, Ph.D., Assistant Professor of Chemistry. GRAHAM B. MOODY, Assistant in General Science.

101. General Science for Secondary Schools.

Assistant Professor MORGAN.

This course is intended for actual or prospective teachers in this comparatively new field of instruction. To this end there will be offered for consideration outlines of courses with suggestions as to material for illustration. The endeavor will be made to show how by the simplest kind of experiments which may usually be performed at home, the student may be lead to answer his own questions and thus become familiar with the methods and fundamental principles of science. In connection with this course there will be lectures by representatives of the different sciences. These lecturers will present those phases of the separate sciences which, because of their humanistic significance, should be included in a course of General Science. 2 units.

M Tu W Th F, 10. 210 Chemistry Building.