Provides students with a deeper understanding of algebraic foundations of the real number system and its generalizations, covers the algebraic and topological properties of the real number system and several of its subfields and subrings.
- Extend main arithmetic properties to commutative rings.
- Evaluate main properties of Euclidian rings.
- Investigate irreducible polynomials.
- Investigate arithmetic functions and solve congruences.
- Prove main properties of the real number system.
- Analyze main concepts of natural number system and its construction including Peano Axsioms.
- Construct the ring of integers and describe its main properties.
- Construct the rational and real number systems.
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School of Arts, Letters, and Sciences
“Our faculty are established scholars and creators in their own fields. They are dedicated to making your entry into their disciplines a successful one, preparing you for your career as well as graduate study.”School of Arts, Letters, and Sciences