Instructor: Erkan Murat TÜRKAN

Office: R-216

Catalogue Description:

Groups, Subgroups, Lagrange’s Theorem, Normal Subgroups, Quotient Groups, Homomorphisms, Direct Products, Semidirect Products, Group Action on Sets, Cayley’s Theorem, The Class Equation, Sylow Theorems, Rings, Fields, Integral Domains, Prime Ideals, Maximal Ideals, Rings of Polynomials, Factorization of Polynomials over a Field, Homomorphisms, Factor Rings, Unique Factorization Domains, Euclidean Domains, Field Extensions, Algebraic Extensions, Finite Fields.

Textbooks:

• Abstract Algebra, An Introduction, Third Edition, Thomas W. Hungerford, Brooks/Cole, Cengage Learning, 2014 
• Fundamentals of Abstract Algebra, D. S. Malik, John M. Mordeson, M. K. Sen, Mcgraw-Hill, 1996
• A First Course in Abstract Algebra, John B. Fraleigh, Pearson, 2002
• Abstract Algebra, David S. Dummit, Richard M. Foote, Wiley, 2003
• A First Course in Abstract Algebra with Applications, Joseph J. Rotman, Pearson, 2005
• Algebra, Michael Artin, Pearson, 2010 

Evaluation Criteria:

Pop Quizzes (30%), One midterm examination (30%), one final examination (40%)

Exam Dates

Midterm 1

TBA

Final

TBA