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 the student will be able to

- evaluate multiple integrals in cartesian, cylindrical and spherical coordinates,

- analyze the properties of vector fields,

- evaluate line and surface integrals of vector fields,

- calculate the gradient, divergence and curl, and knows what they represent,

- explain the idea of Gauss and Stokes theorems, and apply them in calculations.

Credits: 5

Schedule: 01.03.2022 - 13.04.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Björn Ivarsson

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:

    Change of variables in multiple integrals, integration in cylindrical and spherical coordinates, vector fields, line and surface integrals, gradient, divergence, curl, Gauss s, Green s and Stokes theorems.

Assessment Methods and Criteria
  • valid for whole curriculum period:

    lectures, exercises and course exam OR exam only

Workload
  • valid for whole curriculum period:

    24+24 (4+4)

DETAILS

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information
  • valid for whole curriculum period:

    Teaching Language : English

    Teaching Period : 2022-2023 Spring IV
    2023-2024 Spring IV

    Enrollment :

    Registration for courses takes place in Sisu (sisu.aalto.fi).