Septembee 13, 1901.] 



SCIENCE. 



417 



plane curves (3) ; Application of quaternions to the 

 theory of curves and surfaces (Ij) ; Selected topics in 

 quaternions (Ig). 



Professor Bj'erly : Advanced differential and in- 

 tegral calculus (3) ; Trigonometric series, spherical 

 harmonics, potential function (3) ; Research, Picard's 

 Traite d' Analyse, Vol. I. ' 



Professor B. 0. Peirce : Trigonometric series, spheri- 

 cal harmonics, potential function (3). 



Professor Osgood : Infinite series and products (I2 ) ; 

 Theory of functions (3) ; Research, calculus of varia- 

 tions. 



Professor Bocher : Higher algebra, polynomials and 

 invariants (I5) ; Partial differential equations (li) ; 

 Linear differential equations of the second order (3). 



Dr. Bouton : Theory of numbers (li) ; Elementary 

 theory of differential equations (IJ). 



Mr. Coolidge : Theory of equations, invariants (IJ) ; 

 Non-Euclidean geometry (3) ; Research, projective 

 geometry. 



Mr. Whittemore : Modern methods in geometry, 

 determinants (3). 



Johns Hopkins. 



Professor Morley : Advanced geometry (3) ; The 

 differential equations of physics (1) ; Mathematical 

 seminar (1). 



Dr. Cohen : Advanced differential equations (2) ; 

 Theory of algebraic numbers (2) ; Elementary theory 

 of functions (2). 



Dr. Franklin : Probability. 



Pennsylvania. 



Professor Crawley : Plane analytic geometry (2) ; 

 Higher plane curves (3). 



Professor Fisher : Differential equations (2) ; In- 

 variants and CO variants (3) ; Theory of functions of a 

 real variable (I2) ; Theory of functions of a complex 

 variable (Ij). 



Professor Schwatt : Infinite series and products (3) ; 

 Definite integrals and the functions of Bessel, La- 

 place and Lame ( 3 ) . 



Dr. Hallett : Theory of substitutions (2) ; Theory 

 of groups (2). 



Department officers : Mathematical seminar. 

 Yale. 



Professor Clark : Determinants (1) ; Differential 

 equations (1). 



Prof essor Gibbs : Vector analysis (1^) ; Advanced 

 vector analysis (1^^). 



Professor Pierpont : Higher algebra (IJ) ; Differ- 

 ential equations and function theory (3) ; Theory of 

 functions (3). 



Professor Smith : Advanced differential geometry 

 (2) ; Foundations of geometry (1). 



Dr. Porter : Advanced calculus (3) ; selected topics 

 in differential equations (1^). 



Dr. Granville : Differential geometry (IJ). 



Mr. Wilson : Projective geometry (I2). 



MECHANICS. 



Chicago. (Consult also Physics.) 



Professor Maschke : Theory of the potential (4, 

 2qr.). 

 Dr. Gale : Dynamics (4, 1 qr. ). 



Columbia. 



Professor Woodward : Analytical mechanics (3); 

 Advanced theoretical mechanics (2); Theory of the 



potential function (2) ; Geodynamics (2) ; Mathemati- 

 cal theory of elasticity (2); Theory of the conduction 

 of heat in solids (2). 



Professor Pupin : Thermodynamics {11); Theory 

 of dynamo and motor (li) ; Theory of direct-current 

 dynamo (lo); Theory of alternators and transformers 

 (lo); Theory of variable currents (lo); Maxwell's 

 theory of electricity and magnetism (2); Theory of 

 Bessel's functions and spherical harmonics (1); Elec- 

 tro-magnetic theory of light (1.1); Advanced thermo- 

 dynamics (2); Theory of oscillations (2). 



Mr. Pfister : Theoretical mechanics (2j. 



Coniell. 



Professor Trevor : Mathematical theory of ther- 

 modynamics (2). 



Professor McMahon : Theoretical mechanics (2) ; 

 Potential function, Fourier's series and spherical 

 harmonics (2) ; Mathematical theory of sound (2). 



Professor Merritt : Electricity and magnetism ; 

 Theoretical physics, mechanics and thermodynamics 

 (4). 



: Mathematical theory of fluid 



motion ; Mathematical theory of electricity and 

 magnetism. 



Harvard. 



Professor Hall : Elements of thermodynamics (IJ) ; 

 Modern developments and applications of thermo- 

 dynamics (Ij). 



Professors Byerly and B. 0. Peirce : The potential 

 function (3). 



Professor Byerly : Dynamics of a rigid body (3). 



Professor B. O. Peirce ; Mathematical theory of 

 electricity and magnetism (3). 



Mr. Whittemore : Hydrostatics and hydrokinema- 

 tics (3). 7 



Johns Hopkins. 

 Professor Morley : 



Kinematics (1). 



Pennsylvania. 



Professor Goodspeed : Theory of the potential ( 1 ) ; 

 Analytic statics (1); Rigid dynamics (2); Thermo- 

 dynamics ( 1 ) ; Dynamics of a particle ( 1 ) . 



Dr. Richards : Application of harmonic series to 

 physical problems. 



Yale. 



Professor Clark: Electricity and magnetism (1); 

 Thermodynamics and properties of matter (2). 



Professor Beebe : Celestial mechanics (3). 



Professor Bumstead : Problems in mathematical 

 physics (2). 



Mr. Wilson : Analytical mechanics (li). 



MINERALOGY. 

 Chicago. 



Professor Iddings : Advanced petrology (4 or 8) ; 

 Special petrology (4 or 8). 



Columbia. 



Professor Moses : Descriptive and determinative 

 mineralogy ( 2 -|- <? ) ; Physical crystallography {l-\-4); 

 Physical crystallography, advanced (6); Mineralogy, 

 special (research). 



Dr. Luquer : The minerals of building-stones (2); 

 Optical mineralogy (2+5, 2 mos.); Optical miner- 

 alogy, advanced (12). 



