1. The problem is to understand the syllabus and topics covered in the DSC-14 Ring Theory course. 2. The course covers foundational and advanced topics in ring theory, including definitions, properties, subrings, integral domains, fields, ideals, factor rings, ring homomorphisms, isomorphism theorems, polynomial rings, factorization, irreducibility tests, and unique factorization domains. 3. Each topic builds on the previous ones, starting from basic definitions and examples to more complex structures and theorems. 4. The course references chapters from two main textbooks: Gallian's "Contemporary Abstract Algebra" and Dummit & Foote's "Abstract Algebra". 5. Understanding these topics requires familiarity with algebraic structures, proofs, and abstract reasoning. 6. No explicit mathematical problem is posed here, so no formula or calculation is needed. 7. This summary helps students know what to expect and prepare for in the course.