Real analysis
Not offered in 1995
BS BT DT BC BP BDT
Dr John Arkinstall
3 points * First semester * 2 hours per week * Gippsland/Distance (even numbered years only) * Prerequisites: GAS1611, preferably with a grade of at least credit * Corequisite: GAS2614 is desirable
This subject provides an introduction to classical real analysis, a formal treatment of the methods of calculus. Introduction to proof in axiomatic systems; an axiom system for the real numbers; convergence of sequences and series, decimal representation, power series; limits of functions, continuity, differentiability, the mean value theorem and its consequences; uniform convergence, continuity of the limit function, differentiation and integration of infinite series term by term, application to power series; the Riemann integral; improper and infinite integrals, Cauchy principal value. For Gippsland students, one two-hour class each week. For distance students, four two-hour expository and discussion classes are held over the semester to supplement the textbook, class notes and exercises.
Assessment
Assignments: 40% * Examination: 60%
Recommended texts
Gaughan E D Introduction to analysis Brooks-Cole, 1987