Basic analytical and quantitative reasoning and, problem-solving skills that depend on the concept, of the limit. Continuity, the derivative and its, applications, the Fundamental Theorem of Calculus,, introduction to the definite integral with, applications. May not be taken for credit if AP, Calculus credit has been granted.
For nonmajors. Selected topics illustrating, mathematics as a way of representing and, understanding patterns and structures, as an art,, as an enabler in other disciplines, and as a, historical force. Emphasis changes from semester, to semester, reflecting the expertise and, interests of the faculty member teaching the, course. For further information consult the, appropriate faculty member before registration.
For nonmajors. Selected topics illustrating, mathematics as a way of representing and, understanding patterns and structures, as an art,, as an enabler in other disciplines, and as a, historical force. Emphasis changes from semester, to semester, reflecting the expertise and, interests of the faculty member teaching the, course. For further information consult the, appropriate faculty member before registration.
The basic functions encountered in calculus,, discrete mathematics, and computer science:, polynomial, rational, exponential, logarithmic,, and trigonometric functions and their inverses., Graphs of these functions, their use in problem, solving, their analytical properties. May not be, taken for credit if AP Calculus credit has been, granted.
Basic analytical and quantitative reasoning and, problem-solving skills that depend on the concept, of the limit. Continuity, the derivative and its, applications, the Fundamental Theorem of Calculus,, introduction to the definite integral with, applications. May not be taken for credit if AP, Calculus credit has been granted.
Basic techniques of abstract formal reasoning and, representation used in the mathematical sciences., First order logic, elementary set theory, proof by, induction and other techniques, enumeration,, relations and functions, graphs, recurrence, relations.
Divisibility properties of the integers, unique, factorization, linear Diophantine equations,, congruences, Fermat's and Wilson's theorems,, arithmetic functions. Other topics selected from, the following: primitive roots and indices,, quadratic reciprocity, the theory of prime, numbers, continued fractions, sums of squares,, analytic number theory.