- Code MATH6110
- Unit Value 6 units
- Offered by Mathematical Sciences Institute
- ANU College ANU Joint Colleges of Science
- Course subject Mathematics
- Areas of interest Mathematics
This course has been adjusted for remote participation in Sem 1 2021 due to COVID-19 restrictions. On-campus activities will also be available.
This course introduces the key concepts of modern real analysis. The philosophy of this course is that modern analysis plays a fundamental role in mathematics itself and in applications to areas such as physics, computer science, economics and engineering.
Topics to be covered include:
- Elementary set theory
- Metric spaces
- Uniform convergence
- The contraction mapping principle
- Integral equations
- Differential equations
- Topological spaces
Note: Graduate students attend joint classes with undergraduates. This course will have shared lectures with MATH2320 and MATH 3116.
Upon successful completion, students will have the knowledge and skills to:
- Explain the fundamental concepts of real analysis and their role in modern mathematics and applied contexts
- Demonstrate accurate and efficient use of real analysis techniques
- Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from real analysis
- Apply problem-solving using real analysis techniques applied to diverse situations in physics, engineering and other mathematical contexts
- Ability to use deep knowledge and understanding of advanced real analysis to formulate responses to complex concrete and abstract problems.
- Assignments (15) [LO 1,2,3,4]
- Midsemester exam (20-30%) (25) [LO 1,2,3,4]
- Final exam (30-40%) (35) [LO 1,2,3,4]
- Assignments on special topic (25) [LO 1,2,3,4,5]
- Precise weights of % ranges to be determined in consultation with the class at first lecture. (null) [LO null]
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The expected workload will consist of approximately 130-150 hours throughout the semester including:
- Face-to face component which will consist of 12 x 4 hours of lectures per semester (48 hours) and 10 hours of workshops throughout the semester.
- Approximately 70-90 hours of self-study which will include preparation for lectures, workshops, assignments and exams.
To be determined.
Requisite and Incompatibility
You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.
No prescribed texts.
Tuition fees are for the academic year indicated at the top of the page.
Commonwealth Support (CSP) Students
If you have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). More information about your student contribution amount for each course at Fees.
- Student Contribution Band:
- Unit value:
- 6 units
If you are a domestic graduate coursework student with a Domestic Tuition Fee (DTF) place or international student you will be required to pay course tuition fees (see below). Course tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
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Offerings, Dates and Class Summary Links
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.