Vector Analysis (MAT300)

Fundamental concepts in vector analysis, including Green's- Stokes'- and Divergence theorem


Course description for study year 2024-2025

Facts

Course code

MAT300

Version

1

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

Offered by
Time table

View course schedule

Content

Vector calculus, second order curves and surfaces, directional derivatives, multiple integrals, line integrals of real and complex functions, surface integrals, vector fields, Stokes', Green's and divergence theorems.

Learning outcome

After completing and passing this course, the student should:

  • Have a conceptual understanding of and be able to calculate double- and triple integrals.
  • Have a conceptual understanding of and be able to calculate surface and line integrals.
  • Have a conceptual understanding of and be able to apply Green's-, Divergence- and Stokes' theorems.
  • Have a sufficiently deep knowledge and conceptual understanding in vector analysis to handle the topics above, in both known and unknown situations.

Required prerequisite knowledge

None

Recommended prerequisites

MAT100 Mathematical Methods 1, MAT200 Mathematical Methods 2, MAT210 Real and Complex Calculus

Exam

Form of assessment Weight Duration Marks Aid
Written exam 1/1 4 Hours Letter grades Compilation of mathematical formulae (Rottmann), Specified printed and hand-written means are allowed. Definite, basic calculator allowed,

Written exam is with pen and paper

Coursework requirements

Compulsory assignments
3 compulsory assignments must be approved to have access to the exam.

Course teacher(s)

Course coordinator:

Alexander Ulanovskii

Head of Department:

Bjørn Henrik Auestad

Method of work

Six hours per week consisting of lectures and exercise classes.

Overlapping courses

Course Reduction (SP)
Mathematics 3 - Vector Analysis (ÅMA290_1) 5
Mathematics 3 - Vector analysis (TE0302_1) 6
Mathematics 3 - Vector analysis (TE0302_A) 6

Open for

Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Electrical Engineering, Vocational Path - Bachelor in Engineering Electrical Engineering - Bachelor in Engineering Energy and Petroleum Engineering - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering
Admission to Single Courses at the Faculty of Science and Technology
City and Regional Planning - Master of Science City and Regional Planning - Master of Science Degree Programme, Five Years Computer Science - Master of Science Degree Programme Environmental Engineering - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme Industrial Economics - Master of Science Degree Programme, Five Year Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years Mathematics and Physics - Five Year Integrated Master's Degree Programme Marine and Subsea Technology, Master of Science Degree Programme, Five Years Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme, Five Years
Exchange programme at Faculty of Science and Technology
Mathematics - One-Year Programme

Course assessment

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.

Literature

The syllabus can be found in Leganto