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.
About this paper
| Paper title | Introduction to Functional Analysis |
|---|---|
| Subject | Mathematics |
| EFTS | 0.15 |
| Points | 18 points |
| Teaching period | Semester 1 (On campus) |
| Domestic Tuition Fees ( NZD ) | $1,103.10 |
| 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
For more information, contact MATH and COMO200-300 Level Advisor Jörg Hennig.
- 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
Timetable
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, even number theory and operator algebra.
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.
About this paper
| Paper title | Introduction to Functional Analysis |
|---|---|
| Subject | Mathematics |
| EFTS | 0.1500 |
| Points | 18 points |
| Teaching period | Semester 1 (On campus) |
| Domestic Tuition Fees | Tuition Fees for 2027 have not yet been set |
| 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
For more information, please contact MATH and COMO 200 / 300-level Advisor Associate Professor Jörg Hennig.
- 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