PDF (1941) - CaltechCampusPubs

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CALIFORNIA INSTITUTE OF TECHNOLOGY
Ma. 118 a, b, c. Introduction to Statistic.. 'J units; first, second and third
terms.
Prerequisites: At least a year of calculus, and a laboratory course in some science.
First term: Curve fitting by moments, correction for lack of high contact and
for histogram group, introduction to the Pearson family of frequency curves,
including the "normal" curve. Second term: Continuation of frequency curve.,
coefficients of relationships, including multiple correlation. Third term: Te.u of
goodness of fit, cycle analysis.
Instructor: Alter.
Ma. 119 a, b, c. Introduction to Theory of Numbers. 9 units.
Prerequisites: Ma. 1 a, b, c, 2 a, b, c.
The fundamental theorem of arithmetic, continued fractions, congruences, Bernouilli
numbers, quadratic residues, quadratic forms and other topics in elementary
number theory.
Instructor: Ward.
GRADUATE SUBJECTS
NOTE: For all subjects numbered above 200, except 201a, a reading knowledge
of French and German is required.
Ma. 201 a, b, c. Modem Analysis. IS units; first, second and third terms.
Prerequisites: Ma. 8, 10.
Theory of convergence, integration and residues, expansions of functions in
infinite series, asymptotic and divergent series. Fourier series. Differential equations
and function theory, integral equations, the gamma function and the uta function,
the hypergeometric function and related functions of mathematical physics, elliptic
functions, ellipsoidal harmonics.
Instructor: Bateman.
Ma. 202 a, b, c. Modern Theory of Differential Equation.. 12 units;
first, second and third terms.
Prerequisites: Ma. 10, 107.
Expansion of functions in series, asymptotic expansions. Linear differential
equations in complex domain. Elementary methods of integration. General theory
of linear differential equations and their solution by definite integrals and contour
integrals. Classification of linear differential equations of the second order.
(Not given in 1940-41.)
Instructor: Ward.
Ma. 204 a, b, c. Geometrical Transformationa and Invarianta. IS units;
first, second and third terms.
Prerequisite: Graduate standing.
Linear and bilinear transformations of one variable. Simple algebraic invariants.
General theory of linear transformations and their invariants. Conformal tran.formations.
Birational transformations. Contact transformations.
(Not given in 1940-41.)
Instructor: Bateman.
Ma. 205 a, b, c. Theory of Functions. 11 units; first, second and third
terms.
Theory of convergence and infinite processes, properties of continuous and discontinuous
functions, functions of limited variation, selected topics on analytic
functions, point sets, measure of point sets, Stieltjes integrals, Lebesgue integrals,