Higher Algebra - MATH3711

 
Faculty: Faculty of Science
 
 
School:  School of Mathematics and Statistics
 
 
Course Outline: http://www.maths.unsw.edu.au/
 
 
Campus: Kensington Campus
 
 
Career: Undergraduate
 
 
Units of Credit: 6
 
 
EFTSL: 0.12500 (more info)
 
 
Indicative Contact Hours per Week: 4
 
 
Enrolment Requirements:
 
 
Prerequisite: 12 UOC of Level 2 Mathematics with an average mark of at least 70, including MATH2601 or MATH2501 (CR), or permission from the Head of Department.
 
 
Excluded: MATH3521, MATH3710, MATH3720, MATH3740
 
 
CSS Contribution Charge:Band 5 (more info)
 
 
Tuition Fee:See Tuition Fee Schedule
 
 
Further Information: See Class Timetable
 
 

Description


In Higher Algebra we examine some of the basic notions of modern algebra that arose in the late 19th and early 20th century. The most fundamental notion is that of a group, which is how mathematicians study symmetry. In this course groups are studied in detail both from an abstract point of view and also to study symmetry in geometry. The other important concept studied is that of a ring. The algebra of adding and multiplying matrices has many similarities with the algebra of numbers. The notion of rings generalises both these two examples. The course examines factorisation theory for certain rings.