Syllabus

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: 21.02.2022 - 21.02.2022

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Nuutti Hyvönen, Tuomas Sahlsten

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

• 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 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.

Description