Module Handbook


Module Name:

Hilbert Space Theory

Module Level:


Abbreviation, if applicable:

MAA 401

Sub-heading, if applicable:


Courses included in the

module, if applicable:



7th / FourthYear

Module coordinator(s):

Dr. Eridani


Dr. Eridani


Bahasa Indonesia

Classification within the


Compulsory Course/ Elective Studies

Teaching format / class

hours per week during semester:

3hours lectures (50 min / hour)


3hours lectures, 3hour structural activities, 3hours individual study,

13 week per semester, and total 117 hours per semester 3.75 ECTS

Credit Points:



Linear Algebra, Real Analysis

Learning goals/competencies:

General Competence (Knowledge)

Capable to connected the concepts of Hilbert Spaces by analysis.


Specific Competence:

1. Capable to explain Geometry of Hilbert Spaces

2. Capable to explain Riesz Representations Theorem

3. Capable to explain Inner product Tensor

4. Capable to explain Hilbert Space Operators


This course contains:Geometry of Hilbert Spaces, Riesz Representations Theorem, Inner product Tensor, Hilbert Space Operators.

Soft skill attribute

Cooperation and Express opinions

Study/exam achievements:

Students are considered to be competent and pass if at least get 40of Final score.

Final score (NA) is calculated as follow: 10% score of softskill + 15% assignment+ 20% quiz+ 25% UTS+ 30% UAS


Final index is defined as follow:

A : 75 100

AB : 70 - 74.99

B : 65 - 69.99

BC : 60 - 64.99

C : 55 - 59.99

D : 40 - 54.99

E : 0 - 39.99

Forms of Media:

LCD projectorsandwhiteboards


Learning Methods




1. Conway J. B., 1990, A course in Functional Analysis, Springer-Verlag, New York.

2. Kreyszig E., 1989, Introductory Functional Analysis with Applications, Wiley Classics Library Edition, New York.