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    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.

    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 ) $981.75
    International Tuition Fees Tuition Fees for international students are elsewhere on this website.
    MATH 201 and MATH 202
    Schedule C
    Arts and Music, Science
    This paper is particularly relevant to Mathematics and Physics majors.

    For more information, contact MATH and COMO200-300 Level Advisor Jörg Hennig at

    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


    Semester 1

    Teaching method
    This paper is taught On Campus
    Learning management system


    Stream Days Times Weeks
    A1 Monday 12:00-12:50 9-13, 15-22
    Wednesday 12:00-12:50 9-13, 15
    Wednesday 14:00-14:50 16-22
    Friday 10:00-10:50 9, 11, 15, 17, 19, 21


    Stream Days Times Weeks
    A1 Thursday 15:00-15:50 10-13, 15-16, 18-22
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