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Course Criteria
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3.00 Credits
Properties of integers, divisibility, primes, congruencies, Diophantine equations, quadratic residues, continued fractions and the distribution of primes. Credits: 3 Prerequisites: P, MATH 125.
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3.00 Credits
Introduction to the theory and applications of algebraic structures including groups, rings, and fields. Credits: 3 Prerequisites: P, MATH 253 or MATH 315 or MATH 316.
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3.00 Credits
This is a continuation of topics from MATH 413. Credits: 3 Prerequisites: P, MATH 413.
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3.00 - 4.00 Credits
A theoretical treatment of Calculus that covers: limits; continuity and differentiability of functions of a single variable and of several variables; convergence of sequences and series; integration; and applications. Credits: (3-4) Prerequisites: P, MATH 225.
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3.00 Credits
This is a continuation of MATH 423. Credits: 3 Prerequisites: P, MATH 423.
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3.00 Credits
Properties of real numbers, sequences, and series of real numbers, limits of functions, uniform continuity, differentiation, sequences and series of functions, uniform convergence, and theories of integration. Extensions of R^n may be considered. Credits: 3 Prerequisites: P, MATH 225.
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3.00 Credits
This is continuation of MATH 425. Credits: 3 Prerequisites: P, MATH 425.
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3.00 Credits
An introduction to the mathematics of fractals and chaos at two levels. Non-calculus based classroom activities suited for secondary students are introduced using inexpensive, easy-to-use software. Concepts are then investigated more deeply with calculus-based techniques. Credits: 3 Prerequisites: P, MATH 123.
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3.00 Credits
Series, solutions, total differential equations, simultaneous equations, approximate solutions, parial differential equations of first and second orders, application. Credits: 3 Prerequisites: P, MATH 321 and MATH 225.
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3.00 Credits
Algebra of complex numbers, classifications of functions, differentiation, integration, mapping, transformations, infinite series. Credits: 3 Prerequisites: P,?MATH 225.
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