202 APPENDICES
The Wave theory.—Simple Interference phenomena, Huygens'
principle, explanation of straight line propagation. Reflexion
and refraction of light, action of mirrors, lenses, etc., reviewed
from this standpoint. Simple diffraction phenomena. Gratings
and wave length determinations. Spectrum analysis, Doppler's
principle. Double refraction and polarization of light, rotatory
polarization, simple applications.
Electricity.—Wheatstone's bridge. Specific resistance, resis-
tance thermometers. Conductivity of electrolytes, ionizatiou
migration phenomena ; accumulators, standard cells, potentiome-
ters.
Thermo-electricity, applicaton of thermo-dynamics, thermoc-
trie diagrams.
Electro-magnetic Induction, Co-efficients of induction, Induc-
tion coils. Energy of circuit carrying current, moving'coil in-
struments, Lenz's Law. Determination of current resistance and
E. M. F. in absolute measure. Discharge of a condenser, Radio-
Aetivity.
SYLLABUS IN MATHEMATICS.
Algebra.—Exdonential and Logarithmic Series. Inequalities.
Simple tests of Convergency of Series (R&tio and Comparison tests).
Partial fractions, Summation of series. Continued fractions.
Recurring series. Indeterminate equations of the first degree.
Theory of Equations and determinants. Relations between
the roots and co-efficients of an equation. Easy transformations.
Cardans solution of cubic. Development and Elementary pro-
perties of determinants and their applications to the solution of
Linear Equations.
Trigonometry.—De Moivre's Theorem—Expansions of Tri-
gonometrical Functions. Hyperbolic and Inverse Functions-
Summation of series.
Analytical Geometry.—Rectangular and Polar Co-ordinates.
Transformation of Co-ordinates. Straight Line, Circle, Parabola
Elipse, and Hyperbola. The general equation of the second
degree. Tracing of curves given by the general equation of the
second degree.
Differential Calculus.—Conditions of Differentibility of a
function. Differentiation. Successive differentiation Taylor's
Theorem for a single variable. Expansions. Indeterminate
Forms. Partial differentiation. Maxima and minima of func-
tions of a single variable. Tangents, Normals, Asymptotes, cur-
vature and Tracing of curves.
Integral Calculus.—General methods of integration. Standard
forms. Reduction formulae. Rectification of plane curves
Quadrature of surfaces and volumes of solids of revolution