Note: This is an archived Handbook entry from 2010.
|Dates & Locations:|| |
This subject has the following teaching availabilities in 2010:Semester 1, Parkville - Taught on campus.
Semester 2, Parkville - Taught on campus.
Lectures, practice classes and computer laboratory classes.
Timetable can be viewed here. For information about these dates, click here.
|Time Commitment:||Contact Hours: 3 x one hour lectures per week, 1 x one hour practice class per week, 4 x one-hour computer laboratory classes during semester |
Total Time Commitment: Estimated total time commitment of 120 hours
Plus one of
|Recommended Background Knowledge:||None|
|Non Allowed Subjects:||
Students who gain credit for 620-295 Real Analysis with Applications may not also gain credit for any of
|Core Participation Requirements:||It is University policy to take all reasonable steps to minimise the impact of disability upon academic study and reasonable steps will be made to enhance a student’s participation in the University’s programs. Students who feel their disability may impact upon their participation are encouraged to discuss this with the subject coordinator and the Disability Liaison Unit.|
CoordinatorProf Arun Ram
Second Year Coordinator
This subject introduces the field of mathematical analysis both with a careful theoretical framework and its application in numerical approximation. A review of number systems; the fundamentals of topology of the real line; continuity and differentiability of functions of one variable; definition and properties of the Riemann integral; sequences and series including the concepts of convergence and divergence, absolute and conditional, and tests for convergence; Taylor’s theorem and series representation of elementary functions with application to Fourier series. The subject will introduce methods of proof such as induction and also introduce the use of rigorous numerical approximations.
On completion of this subject students should
Six written assignments due at regular intervals during semester amounting to a total of up to 50 pages (20%), and a 3-hour written examination in the examination period (80%).
|Recommended Texts:|| |
|Breadth Options:|| |
This subject potentially can be taken as a breadth subject component for the following courses:
You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects.
|Fees Information:||Subject EFTSL, Level, Discipline & Census Date|
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.
Students undertaking this subject are required to regularly use computers with the numerical software Matlab installed.
Bachelor of Science |
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