- 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
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: Elementary set theory; metric spaces, sequences, uniform convergence, continuity, the contraction mapping principle; integral equations and differential equations, topological spaces.
Honours Pathway Course It emphasises mathematical rigor and proof and develops the application of the theory to topics such as differential equations.
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
- Assignments (20) [LO 1,2,3,4]
- Midsemester exam (30-40%) (30) [LO 1,2,3,4]
- Final exam (40-50%) (50) [LO 1,2,3,4]
- Precise weights of % ranges to be determined in consultation with the class at first lecture. (null) [LO null]
In response to COVID-19: Please note that Semester 2 Class Summary information (available under the classes tab) is as up to date as possible. Changes to Class Summaries not captured by this publication will be available to enrolled students via Wattle.
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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 3 hours lectures per semester (36 hours) and 10 hours of workshops throughout the semester.
- Optional 12 x 1 hour lectures per semester (12 hours)
- Approximately 70-90 hours of self-study which will include preparation for lectures, workshops, assignments and exams.
To be determined.
Requisite and Incompatibility
No prescribed texts
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.
Offerings, Dates and Class Summary Links
Class summaries, if available, can be accessed by clicking on the View link for the relevant class number.