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MATH301 Introduction to Functional Analysis

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.

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MATH 201 and MATH 202
Schedule C
Arts and Music, Science
This paper is particularly relevant to Mathematics and Physics majors.

Teaching staff

Teaching staff to be advised


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

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Semester 1

Teaching method
This paper is taught On Campus
Learning management system


Stream Days Times Weeks
A1 Monday 12:00-12:50 9-14, 16-22
Wednesday 12:00-12:50 9-14, 16-22
Friday 09:00-09:50 9-13, 16-22


Stream Days Times Weeks
A1 Thursday 15:00-15:50 10-14, 16-22