- Code MATH3116
- Unit Value 6 units
- Offered by Mathematical Sciences Institute
- ANU College ANU Joint Colleges of Science
- Course subject Mathematics
- Areas of interest Mathematics
- Academic career UGRD
- Prof John Urbas
- Mode of delivery In Person
First Semester 2019
See Future Offerings
This course introduces the key concepts of modern real analysis. The philosophy of this course is that modern analysis play a fundamental role in mathematics itself and in applications to areas such as physics, computer science, economics and engineering. This course will have shared lectures with MATH2320 but will have different tutorials and assessment which will emphasise the application of techniques.
Topics to be covered include:
Review of the real number system, the foundations of calculus, elementary set theory; metric spaces, sequences, series and power series, uniform convergence, continuity, the contraction mapping principle; foundations of multidimensional calculus, applications to the calculus of variations, integral equations and differential equations.
Note: This is an Honours Pathway Course. It emphasises the sophisticated application of deep mathematical concepts.
Upon successful completion, students will have the knowledge and skills to:
On satisfying the requirements of this course, students will have the knowledge and skills to:
1. Explain the fundamental concepts of real analysis and their role in modern mathematics and applied contexts
2. Demonstrate accurate and efficient use of real analysis techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from real analysis
4. Apply problem-solving using real analysis techniques applied to diverse situations in physics, engineering and other mathematical contexts
Assessment will be based on:
- Workshops (10%; LO 1-4)
- Assignments (20%; LO 1-4)
- Midsemester exam (20-30%; LO 1-4)
- Final exam (40-50%; LO 1-4)
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Requisite and Incompatibility
Tuition fees are for the academic year indicated at the top of the page.
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- Student Contribution Band:
- Unit value:
- 6 units
If you are an undergraduate student and 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). You can find your student contribution amount for each course at Fees. Where there is a unit range displayed for this course, not all unit options below may be available.
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Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.