sta4ana numbers and functions

REAL NUMBERS AND FUNCTIONS

STA4ANA

2014

Credit points: 15

Subject outline

The subject introduces the basic mathematical methods for statistics. It covers selected topics in classical analysis of functions that are essential for a proper understanding of the material in many statistics subjects. The limits of sequences and limits of functions are studied in this subject. We also study series and various tests are derived to determine the convergence or otherwise of these series. We then extend the basic idea of limit to include sequences of functions and sequences of sets in metric spaces. A powerful theorem called The Contraction Mapping Theorem will be derived. This theorem plays a fundamental role in analysis and its applications. We will use it to establish the existence and uniqueness of solutions to certain differential equations. Various applications in statistics will be discussed.

FacultyFaculty of Science, Tech & Engineering

Credit points15

Subject Co-ordinatorYuri Nikolayevsky

Available to Study Abroad StudentsYes

Subject year levelYear Level 4 - UG/Hons/1st Yr PG

Exchange StudentsYes

Subject particulars

Subject rules

Prerequisites (MAT1NLA AND MAT1CDE) OR MAT1CLA

Co-requisitesN/A

Incompatible subjects MAT2ANA

Equivalent subjectsN/A

Special conditionsN/A

Subject options

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Start date between: and    Key dates

Melbourne, 2014, Semester 1, Day

Overview

Online enrolmentYes

Maximum enrolment sizeN/A

Enrolment information

Subject Instance Co-ordinatorYuri Nikolayevsky

Class requirements

LectureWeek: 10 - 22
Two 1.0 hours lecture per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

PracticalWeek: 10 - 22
Two 1.0 hours practical per week on weekdays during the day from week 10 to week 22 and delivered via face-to-face.

Assessments

Assessment elementComments%
Fortnightly written assignments30
Three-hour exam70