Abstract Algebra (University)
Students will gain a rigorous understanding of algebraic structures, developing the ability to prove fundamental theorems in group, ring, and field theory while
Abstract Algebra (University). This course is designed for advanced undergraduate mathematics majors or beginning graduate students who have mastered linear algebra and introductory real analysis. Students will gain a rigorous understanding of algebraic structures, developing the ability to prove fundamental theorems in group, ring, and field theory while applying Galois theory to classical geometric problems. This course is independent preparation and is not affiliated with or endorsed by the independent university-level study (not affiliated with any university); check the official site for current test formats and dates. Every lesson includes tutor notes, a practical lab, worked exercises and a 12-question quiz you must pass at 80%, followed by a pooled final exam and free and paid practice tests.
Curriculum
One complete track with its own final exam and certificate.
10 modules mapped to the official examination areas, from foundations to final mocks.
Course Foundation and Mathematical Logic. Practice activity: Construct a comprehensive study plan and complete a diagnostic problem set covering modular arithmetic and set mappings..
- 1.1 Syllabus Overview and the Axiomatic Method Lab90 min
- 1.2 Set Theory, Relations, and Equivalence Classes Lab90 min
- 1.3 Functions: Injectivity, Surjectivity, and Bijectivity Lab90 min
- 1.4 Number Theory Fundamentals: Divisibility and Modular Arithmetic Lab90 min
- 1.5 Mathematical Induction and Proof Strategies in Algebra Lab90 min