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

- know how to calculate approximations with the aid of partial derivatives

- be able to solve systems of equations with Newton s method

- know and understand the basic ideas of optimization

- be able to use Lagrange multipliers

- be able to calculate double and triple integrals

- be able to change the order of integration in double integrals

- know how to change variables in double and triple integrals

Credits: 5

Schedule: 09.09.2021 - 09.09.2021

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Nuutti Hyvönen

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:

    Functions of several variables and their derivatives, optimization of functions with several variables, double and triple integrals.

DETAILS

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information
  • valid for whole curriculum period:

    Teaching Period:

    2020-2021 Spring III

    2021-2022 Spring III

    Course Homepage: https://mycourses.aalto.fi/course/search.php?search=MS-A0211

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