Unit of study_

# Linear and Abstract Algebra - MATH2022

Year - 2020

Linear and abstract algebra is one of the cornerstones of mathematics and it is at the heart of many applications of mathematics and statistics in the sciences and engineering. This unit investigates and explores properties of linear functions, developing general principles relating to the solution sets of homogeneous and inhomogeneous linear equations, including differential equations. Linear independence is introduced as a way of understanding and solving linear systems of arbitrary dimension. Linear operators on real spaces are investigated, paying particular attention to the geometrical significance of eigenvalues and eigenvectors, extending ideas from first year linear algebra. To better understand symmetry, matrix and permutation groups are introduced and used to motivate the study of abstract group theory.

Classes
3x1-hr lectures; 1x1-hr tutorial; and 1x1-hr practice class/wk

Assessment
3 x quizzes (30%); 2 x assignments (10%); final exam (60%)

Textbooks
Linear Algebra: A Modern Introduction, (4th edition), David Poole

Pre-requisites

MATH1XX2 or (a mark of 65 or above in MATH1014)

Prohibitions

MATH2922 or MATH2968 or (MATH2061 and MATH2021) or (MATH2061 and MATH2921) or (MATH2961 and MATH2021) or (MATH2961 and MATH2921)

### Details

Faculty: Science

Semester 1

24 Feb 2020

Department/School: Mathematics and Statistics Academic Operations
Study Mode: Normal (lecture/lab/tutorial) day
Census Date: 31 Mar 2020
Unit of study level: Intermediate
Credit points: 6.0
EFTSL: 0.125
Available for study abroad and exchange: Yes
Faculty/department permission required? No
Location
Camperdown
More details
Unit of Study coordinator: Dr Daniel Hauer
HECS Band: 2
##### Courses that offer this unit

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