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CALIFORNIA INSTITUTE OF TECHNOLOGY
Ma. 116 a, b. MODERN THEORY OF DIFFERENTIAL EQUATIONS. 1:2
units; second and third terms.
Prerequisites: Ma. 114, or equivalent.
Expansion of functions in series, asymptotic expansions. Linear dif·
ferential equations in complex domain. Elementary methods of integration.
General theory of linear differential equations and theiI
solution by definite integrals and contour integrals. Classification of
linear differential equations of the second order.
Texts: Whittaker and Watson, Modern Analysis; Ince, OrdinarJ
Differential Equations.
Instructor: Ward.
Ma. 118 a, b, C. PARTIAl. DIFFERENTIAL EQUATIONS AND TENSOR
ANAL Ysrs. 19 units; first, second, and third terms.
Prerequisite: Ma. 8 a, b, c, 10 a, b, c.
An introductory course in the calculus of tensors and the classical
·-_.theory of partial differential equations of the first order from the tensor
stardpoint. The topics treated will include Cauchy problems, complete
systems of partial differential equations, Pfaffian systems, invariants of
quadratic differential forms, Riemannian differential geometries, elementary
Lie theory of continuous groups, calculus of variations, dynamical
systems and their integral invariants.
Instructor: Michal.
Ma. 193 a, b, C. MODERN ALGEBRA. 19 units; first, second and third
terms.
Prerequisite.: Ma. 8.
Introductions to algebraic invariants, matrices and bilinear forms,
substitution groups and their simpler applications.
(Not given in 1999-1930.)
Instructor: Bell.
ADVANCED SUBJECTS
Ma. 101. VECTOR ANALYSIS. 15 units; second term.
In this course the fundamental operations of vector analysis are developed,
using the notation of Gibbs, and the use of the analysis is il·
lustrated by means of examples in mechanics and other branches of
mathematical physics. Complex quantities are also represented by vec·
tors and geometricai applications are indicated.
(Not given in 1929-1930.)
Instructor: Bateman.