Abstract Algebra

Would you rather use all variables instead of actual numbers? What are numbers anyway and why would they belong to a group? This class will cover the sets and structures used in classical algebra classes, as well as what makes such a group and their abstract properties.

Locations: Lafayette

Cost: $140/hr

Recommended hours: 12

Goals:

Define elementary algebraic structures such as groups, rings, and solids
Identify finite and infinite fields
Connect familiar arithmetic to general abstract systems and rules
Dive into abstract properties of different structures and make the connection to specific algebraic operations.

To Enroll Call (650) 331-3251 / (408) 345–5200

Course Description:

Abstract algebra studies algebraic structures like groups, rings, and fields, exploring their properties and relationships and moving beyond the familiar arithmetic of numbers to more general systems. Abstract algebra has applications in various areas of mathematics, computer science, and physics, including cryptography, coding theory, and geometry.

This course aims to build mathematical maturity and problem-solving skills through rigorous abstract reasoning. Topics will include groups, rings, fields, ideals, homomorphisms, isomorphisms, substructures, quotient structures, normal subgroups, unique factorization, Irreducible polynomials, and general group theory

Make the Most of the Summer!

Students who stay actively engaged in the learning process during the summer perform better during the school year.

Contact AJ Tutoring to Enroll in Summer Tutoring Peninsula (650) 331-3251