Analysis 1 is a foundational course in Mathematics, leading on to other areas of analysis, such as topology and measure theory, complex analysis, functional analysis, and harmonic analysis. It also provides important tools for application areas such as theoretical computer science, physics and engineering.
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 course will have shared lectures with MATH3116 but will have different tutorials and assessment which will emphasise the application of techniques.
Note: This is an HPC. It emphasises mathematical rigour and proof and develops the application of the theory to topics such as differential equations and the proofs of major theorems in multivariable calculus.
Learning Outcomes
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
Indicative Assessment
Assessment will be based on:
- Tutorials (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
Majors
Specialisations
Fees
Tuition fees are for the academic year indicated at the top of the page.
If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.
- Student Contribution Band:
- 2
- 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.
| Units | EFTSL |
|---|---|
| 6.00 | 0.12500 |
Course fees
- Domestic fee paying students
| Year | Fee |
|---|---|
| 2016 | $3276 |
- International fee paying students
| Year | Fee |
|---|---|
| 2016 | $4368 |
Offerings, Dates and Class Summary Links
ANU utilises MyTimetable to enable students to view the timetable for their enrolled courses, browse, then self-allocate to small teaching activities / tutorials so they can better plan their time. Find out more on the Timetable webpage.
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.
First Semester
| Class number | Class start date | Last day to enrol | Census date | Class end date | Mode Of Delivery | Class Summary |
|---|---|---|---|---|---|---|
| 2743 | 15 Feb 2016 | 26 Feb 2016 | 31 Mar 2016 | 27 May 2016 | In Person | N/A |
