Finite sample spaces; probability as set function; permutations, combinations, conditional probability and Bayes' Theorem; independent events; random variables and distribution functions; expected values; Chebyshev's inequality.
3 hr./wk.
Frequency histograms, measures of location and dispersion, correlation and least squares, testing hypotheses, confidence intervals and estimation.
A course in probability.
3 hr./wk.
Vector spaces, matrices, systems of linear equations, determinants, linear transformations.
3 hr./wk.
A study of problems concerning numbers as well as properties of numbers. Included are: divisibility, continued fractions, diophantine equations, primes, congruences. Fermat's and Euler's Theorems, quadratic residues and reciprocity, number theoretic functions.
3 hr./wk.
Solution of algebraic equations by iteration interpolation; numerical integration; solution of ordinary differential equations.
One year of calculus.
3 hr./wk.
Topics include: polynomials and their properties, solution of third and fourth degree equations by formula and approximation, impossibility of solving equations of fifth degree or higher, real and complex roots of nth degree equations; other fundamental concepts of elementary algebra from an advanced standpoint.
3 hr./wk.