Abstract Algebra and Fundamental Analysis - MATH2701
Faculty: Faculty of Science
School: School of Mathematics and Statistics
Course Outline: http://www.maths.unsw.edu.au/
Campus: Sydney
Career: Undergraduate
Units of Credit: 6
EFTSL: 0.12500 (more info)
Indicative Contact Hours per Week: 4
Enrolment Requirements:
Prerequisite: MATH1231 or MATH1241 or MATH1251 with at least a CR, enrolment in an advanced maths or advanced science program
CSS Contribution Charge: 2 (more info)
Tuition Fee: See Tuition Fee Schedule
Further Information: See Class Timetable
View course information for previous years.
Description
The content is as follows:
- The interplay between algebra and geometry: an introduction to group theory through the study of transformation geometry. Groups, subgroups, order, generators. Transformation of the plane, isometries, symmetry groups. Group homomorphisms, normal subgroups, First Isomorphism Theorem.
- Inequalities and the effect of dimension. Asymptotics and order notation. Fundamental Inequalities: AM/GM and Cauchy-Schwartz. Norms for sequences and matrices. Further inequalities. Metric spaces and normed vector spaces. Construction of the real numbers, p-adic numbers