Course Objectives / Big Questions: Is there an abstraction of the ideas running through a number of disparate areas of mathematics which, when accurately defined, gives greater insight into these individual areas?  Does this abstraction allow for discoveries which apply to the whole without consideration of the characteristics which distinguish the parts?  By reaching the level of abstraction which Modern Algebra provides, we'll explore some of the most beautiful and unifying results in mathematics.    Objectives: Master the abstraction necessary for working with groups, rings, and fields Strengthen our understanding by exploring concrete instances of abstract ideas Gain an appreciation for the power of abstract algebra Build upon our logic, presentation, and proof writing skills

Course Information & Handouts Syllabus Advice From Past Students To Future Students Group Exams Useful Websites Mathematics Colloquium Schedule Group Tables and Subgroup Diagrams Just for Fun Abstract Algebra Quotes Reworking of Hofstadter Quote Finite Simple Group of Order 2 (YouTube) Finite Simple Group of Order 2 (Lyrics) D4 Mathstitch Biography of Evariste Galois Biography of Niels Abel Spirograph Simulator

Ch. Homework & Suggested Problems 4-7 Prepare review lectures 8 8.2/3, 21, 23 8.3/9, 12, 14, 25 8.4/ 6, 17, 22, 23, 24 8.5/ 6, 7, 12, 16 9 9.2/ 10, 12, 25, 30, 32, 36 Group Exam Solutions Group Exam 1 Solutions