American University Bulletin Catalog Issue: Catalogue Issue 1956-1959

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1957 SPRING.
41.515 NUMBER THEORY (2) Divisibility, prime numbers, number-theoretic functions, residue classes and congruence of numbers, quadratic residues, diophantine equations, the theory of quadratic forms, etc. 1958 SPRING.
41.520 INTRODUCTION TO ANALYSIS 1 (3) Differential calculus; the real numbers, limits, func- tions, continuity, differentials, differentiation, mean value theorem, higher order derivatives.
Taylor's theorem, infinite series, uniform convergence, partial derivatives, im
...plicit functions.
Prerequisite, 41.320. FALL.
41.521 INTRODUCTION TO ANALYSIS 2 (3) Integral calculus: Stieltjes and Riemann integrals; iterated and multiple integrals; line, surface, space integrals; improper integrals. Prerequisite, 41.520. SPRING.
41.523 ORDINARY DIFFERENTIAL EQUATIONS (2) Linear differential equations with constant co- efficients. Existence theorems; linear differential equations of the second order with variable coefficients. Boundary-value problems. Applications. Prerequisite, 41.321.


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