Handbook - Foundations of Calculus

Overview

What does it mean for a limit to exist? What does it mean for a function to be continuous or differentiable? There are functions which are continuous everywhere but differentiable nowhere! Are there functions whose integral does not exist? In this course, we look again at the essential concepts of limit, continuity, differentiability and integrability and try to place them on a sure footing. The syllabus includes material on sequences and series of real numbers and also of real valued functions. Although of general interest to those studying mathematics for its own sake, this course is of special relevance to those planning a career in secondary teaching.

MATH3570 is a compulsory component of the program for mathematics teachers.

Conditions for Enrolment

Prerequisite: 12 units of credit in Level 2 Math courses.

Exclusion Courses

Course

MATH3610

MATH3610 - Higher Analysis 1: Real Analysis

Course

MATH3611

MATH3611 - Higher Analysis

Course

MATH3620

MATH3620 - Higher Analysis 2: Functional Analysis

Course

MATH5645

MATH5645 - Number Theory

Course

MATH5705

MATH5705 - Modern Analysis

Delivery

In-person - Standard (usually weekly or fortnightly)

Please note that the above delivery information is an indication on how this course may be delivered within the year. Delivery mode(s) for each term can be viewed on other sources such as myUNSW and class timetable site.

This Handbook is a comprehensive catalogue of our offerings and includes courses that can be taken to satisfy program requirements irrespective as to their availability for a particular year. Availability of courses is best checked using filters on this site or on the class timetable site.

Fees

Type	Amount
Commonwealth Supported Students (if applicable)	$290
Domestic Students	$3660
International Students	$3660

Disclaimer

Where a fee is displayed as “Not Applicable”, including some Work Experience and UNSW Canberra courses, please contact the relevant Faculty for any enquiry.

Note that the University reserves the right to vary student fees in line with relevant legislation. The fee information is provided as a guide and more specific information about fees, including policy, can be found here.

Commonwealth Supported Students:

Please refer to the information about new Student Contribution band classifications. Note that grandfathering arrangements are applicable for some cohorts of students, and other special arrangements apply for a limited number of programs. The Field of Education displayed on the right-hand side of this page may be applicable in understanding which fee rate will apply to you.

Where a Commonwealth Supported fee is displayed it does not guarantee that such places are available.

Pre-2019 Handbook Editions

Access past handbook editions (2018 and prior)

Pre-2019 Handbook Editions