Syllabus

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: 08.09.2021 - 08.09.2021

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.

DETAILS

Substitutes for Courses

• valid for whole curriculum period:

  Substitutes for Courses

Prerequisites

• valid for whole curriculum period:

  Prerequisites

FURTHER INFORMATION

Further Information

• valid for whole curriculum period:

  Teaching Period:

  2020-2021 Spring IV

  2021-2022 Spring IV

  Course Homepage: https://mycourses.aalto.fi/course/search.php?search=MS-A0311

  Registration for Courses: In the academic year 2021-2022, registration for courses will take place on Sisu (sisu.aalto.fi) instead of WebOodi.

Description