### MS-A0211 - Differential and integral calculus 2, 07.01.2020-17.02.2020

Credits: 5

Schedule: 07.01.2020 - 17.02.2020

Teaching Period (valid 01.08.2018-31.07.2020):

IV Spring (2018-2019)

III Spring (2019-2020)

Learning Outcomes (valid 01.08.2018-31.07.2020):

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

Content (valid 01.08.2018-31.07.2020):

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

Assessment Methods and Criteria (valid 01.08.2018-31.07.2020):

Lectures, exercises, midterm exams/final exam.

Workload (valid 01.08.2018-31.07.2020):

24+24 (4+4)

Substitutes for Courses (valid 01.08.2018-31.07.2020):

Together with the course MS-A03XX substitutes the courses Mat-1.1020, Mat-1.1220, Mat-1.1320, Mat-1.1420, Mat-1.1520, Mat-1.1620, Mat-1.1720.

Together with the course MS-A04XX Foundations of discrete mathematics or the course MS-A01XX Differential and integral calculus 1 substitutes the course Mat-1.1110.

Substitutes the courses MS-A02XX Differential and integral calculus 2, MS-A0210 Mathematics 1.

Course Homepage (valid 01.08.2018-31.07.2020):

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

Prerequisites (valid 01.08.2018-31.07.2020):

MS-A00XX Matrix algebra, MS-A01XX Differential- and integral calculus 1.

Grading Scale (valid 01.08.2018-31.07.2020):

0-5