• Explain fundamental concepts of groups and rings
• Apply fundamental abstract algebraic techniques in computational problems.
• Use a combination of theoretical knowledge and mathematical thinking to solve conceptual problems on fundamentals of group and rings.   

• Gilbert, L., Gilbert, J. Elements of Modern Algebra, 8th edition, Brooks Cole, 2014.

• Fraleigh, J.B. First Course in Abstract Algebra, 8th edition, Pearson eText, 2019.

• Judson, T.W. Abstract Algebra, Theory and Applications, Open Source, 2019.

Chapter 1 Groups

Chapter 2 Subgroups

Chapter 3 Normal Subgroups

Chapter 4 Group Homomorphisms

Chapter 5 Rings, Integral Domains and Fields

Chapter 6 Subrings, Ideals and Quotient Rings

Chapter 7 Ring Homomorphisms

Chapter 8 Polynomial Rings

Tutorial 1 Introduction to Groups

Tutorial 2 Properties of Group Elements

Tutorial 3 Subgroups

Tutorial 4 Normal Subgroups

Tutorial 5 Quotient Groups

Tutorial 6 Group Homomorphisms

Tutorial 7 Rings and Integral Domains

Tutorial 8 Fields, Subrings and Ideals

Tutorial 9 Quotient Rings and Ring Homomorphisms

Tutorial 10 Polynomial Rings