An introduction to Banach and Hilbert spaces, linear operators and their applications.
MATH 301 extends the techniques of linear algebra and real analysis to study problems of an intrinsically infinite-dimensional nature. They are indispensable tools in the theories of partial differential equations, quantum mechanics, Fourier analysis (with applications to signal processing and heat transfer) and many areas of pure mathematics, including topology, operator algebra and even number theory.
The paper will introduce students to the basic techniques of functional analysis. The paper will be grounded in applications that will reinforce the students' understanding of linear algebra and real analysis; and will give them training in modern mathematical reasoning and writing.
| Paper title | Introduction to Functional Analysis |
|---|---|
| Paper code | MATH301 |
| Subject | Mathematics |
| EFTS | 0.15 |
| Points | 18 points |
| Teaching period | Semester 1 (On campus) |
| Domestic Tuition Fees (NZD) | $955.05 |
| International Tuition Fees | Tuition Fees for international students are elsewhere on this website. |
- Prerequisite
- MATH 201 and MATH 202
- Schedule C
- Arts and Music, Science
- Eligibility
- This paper is particularly relevant to Mathematics and Physics majors.
- Contact
- Teaching staff
Teaching staff to be advised
- Textbooks
Textbooks are not required for this paper.
- Graduate Attributes Emphasised
- Critical thinking.
View more information about Otago's graduate attributes. - Learning Outcomes
Students who successfully complete this paper will:
- Understand the basic techniques of functional analysis
- Gain experience in modern mathematical reasoning and writing
