MS-A0311 - Differential and Integral Calculus 3, 02.03.2021-16.04.2021

Guest access

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 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: 02.03.2021 - 16.04.2021

Teacher in charge (valid 01.08.2020-31.07.2022): Björn Ivarsson

Teacher in charge (applies in this implementation): Björn Ivarsson

Contact information for the course (valid 29.01.2021-21.12.2112):Lecturer: Björn Ivarsson ( bjorn.ivarsson@aalto.fi )

CEFR level (applies in this implementation):

Language of instruction and studies (valid 01.08.2020-31.07.2022):

Teaching language: English

Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • Valid 01.08.2020-31.07.2022:

    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 01.08.2020-31.07.2022:

    Lectures, exercises, midterm exams/final exam.

Workload

  • Valid 01.08.2020-31.07.2022:

    24+24 (4+4)

DETAILS

Study Material

  • Applies in this implementation:

    Course book : Calculus, A Complete Course, by Adams & Essex

Substitutes for Courses

  • Valid 01.08.2020-31.07.2022:

    Together with the course MS-A02XX substitutes the courses Mat-1.1020, Mat-1.1220, Mat-1.1320, Mat-1.1420, Mat-1.1520, Mat-1.1620, Mat-1.1720.

    Substitutes the courses MS-A03XX Differential and integral calculus 3.

Prerequisites

  • Valid 01.08.2020-31.07.2022:

    MS-A02XX Differential and integral calculus 2.

Rules of Conduct - Students´ Rights and Responsibilities (in force from 1 August 2020)

Aalto University Code of Academic Integrity and Handling Violations Thereof