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: 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

• 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 Language : English

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

  Enrollment :

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

Description