units
MTH2140
Faculty of Science
This unit entry is for students who completed this unit in 2014 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.
Level | Undergraduate |
Faculty | Faculty of Science |
Organisational Unit | School of Mathematical Sciences |
Offered | Clayton First semester 2014 (Day) |
Coordinator(s) | Dr Jerome Droniou |
An introduction to real analysis with a special focus on sequences of real numbers and functions. Topics covered include properties of real numbers (infima/suprema and the axiom of completeness), sequences and series of real numbers (order limit theorem, Cauchy sequences and completeness, compactness), properties of functions over the reals (intermediate value theorem, mean value theorem), sequences and series of functions (pointwise and uniform convergence, the Weierstrass M-test, continuity and differentiability of the limit). Emphasis will be on rigorous mathematical proof and examples will be provided to show how intuition can be misleading.
On completion of this unit students will be able to:
Examination (3 hours): 70%
Assignments and participation in support classes: 30%
Three 1-hour lectures and one 2-hour support class per week
MTH2111, MTH3111, MTH3140