Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

After the course student knows

- how to solve partial differential equations using separation of variables and Fourier techniques 
- the physical interpretations of the equations
- the equations in the spherical and cylindrical coordinates
- the role of the fundamental solutions
- the maximum and comparison principles
- the variational forms of the equations.

Credits: 5

Schedule: 03.09.2024 - 09.12.2024

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Riikka Korte

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content
  • valid for whole curriculum period:

    The Laplace equation, the heat equation and the wave equation.

Assessment Methods and Criteria
  • valid for whole curriculum period:

    lectures, exercises and course exam OR exam only

  • applies in this implementation

    Course exam 55% + homework assignments 30% + pre-lecture quizzes 15%.

Workload
  • valid for whole curriculum period:

    24+24 (2+2) contact hours

  • applies in this implementation

    Contact teaching:
    • lectures 12*2h
    • exercise classes 12*2h
    • exam 3h
    Self-study:

    • studying the lecture notes 12 * 2,5h
    • pre-lecture quizzes 11 * 1h
    • homework assignments (on top of exercise classes) 6 * 5h
    • studying for the exam 8h

DETAILS

Study Material
  • valid for whole curriculum period:

    Lecture notes

  • applies in this implementation

    The course follows lecture notes written by Juha Kinnunen. In addition, the lecture slides will be published. All material will be available in MyCourses. 

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information
  • valid for whole curriculum period:

    Teaching Language: English

    Teaching Period: 2024-2025 Autumn I - II
    2025-2026 Autumn I - II