MATH2031 Introduction to Pure Mathematics

6 points
(see Timetable)
Semester 1UWA (Perth)Face to face
Details for undergraduate courses
  • Level 2 option in the Mathematics and Statistics major sequence
  • The area of knowledge for this unit is Mathematical and Physical Sciences
  • Category A broadening unit for Bachelor of Science students where relevant according to the broadening requirements for each student
  • Level 2 elective
This unit provides an exposure to some of the many interesting ideas of pure mathematics, and provides foundations for further study. Topics may include cardinality, elementary number theory, equivalence relations, polynomial rings and their ideals, norms and metrics, metric spaces, completeness, compactness, and the contraction mapping principle and its consequences.
Students are able to (1) understand and appreciate the power and beauty of abstract mathematics; (2) construct mathematical arguments in a logical and coherent fashion; and (3) understand fundamentals necessary for applications.
Indicative assessments in this unit are as follows: (1) tests and (2) a final examination. Further information is available in the unit outline.

Supplementary assessment is not available in this unit except in the case of a bachelor's pass degree student who has obtained a mark of 45 to 49 overall and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete their course.
Unit Coordinator(s)
Professor Luchezar Stoyanov
Unit rules
MATH1001 Mathematical Methods 1
MATH1012 Mathematical Theory and Methods; for pre-2012 courses: MATH1010 Calculus and Linear Algebra
MATH1020 Calculus, Statistics and Probability
MATH2300 Fundamental Concepts in Mathematics
Contact hours
lectures: 3 hours per week; practical classes: 1 hour per week
Unit Outline
Semester 1_2019 [SEM-1_2019]
  • The availability of units in Semester 1, 2, etc. was correct at the time of publication but may be subject to change.
  • All students are responsible for identifying when they need assistance to improve their academic learning, research, English language and numeracy skills; seeking out the services and resources available to help them; and applying what they learn. Students are encouraged to register for free online support through GETSmart; to help themselves to the extensive range of resources on UWA's STUDYSmarter website; and to participate in WRITESmart and (ma+hs)Smart drop-ins and workshops.
  • Books and other material wherever listed may be subject to change. Book lists relating to 'Preliminary reading', 'Recommended reading' and 'Textbooks' are, in most cases, available at the University Co-operative Bookshop (from early January) and appropriate administrative offices for students to consult. Where texts are listed in the unit description above, an asterisk (*) indicates that the book is available in paperback.