Course

Vector Analysis (MAT300)

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


Course description for study year 2021-2022. Please note that changes may occur.

Semesters

Facts

Course code

MAT300

Credits (ECTS)

10

Semester tution start

Autumn

Language of instruction

Number of semesters

1

Exam semester

Autumn

Time table

View course schedule

Literature

The syllabus can be found in Leganto

Content

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

Learning outcome

The student should: Be able to calculate double- and triple integrals. Be able to calculate surface and line integrals. Be able to apply Green's-, Divergence- and Stokes' theorems. Have sufficient knowledge in vector analysis to handle the topics above. 

Required prerequisite knowledge

None

Recommended prerequisites

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

Exam

Form of assessment Weight Duration Marks Aid Exam system Withdrawal deadline Exam date
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 — — —


Coursework requirements

4 assignments, Compulsory assignments

Course teacher(s)

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Method of work

Six hours per week consisting of lectures and exercise classes.

Overlapping courses

Course Reduction (SP)
Vector Analysis (MAT300_1) , Mathematics 3 - Vector Analysis (ÅMA290_1) 5
Vector Analysis (MAT300_1) , Mathematics 3 - Vector analysis (TE0302_1) 6
Vector Analysis (MAT300_1) , Mathematics 3 - Vector analysis (TE0302_A) 6

Open for

Battery and Energy Engineering - Bachelor in Engineering Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor in Engineering Computer Science - Bachelor in Engineering Computer Science - Bachelor in Engineering, Part-Time Electrical Engineering, Vocational Path - Bachelor's Degree Programme Electrical Engineering - Bachelor's Degree Programme, part-time Electrical Engineering - Bachelor's Degree Programme Energy and Petroleum Engineering - Bachelor in Engineering Geosciences and Energy Resources - Bachelor in Engineering Environmental Engineering - Bachelor in Engineering Mechanical Engineering - Bachelor in Engineering Mathematics and Physics - Bachelor's Degree Programme Medical technology - Bachelor in Engineering Medical Technology - Bachelor in Engineering - part time Geosciences Engineering - Bachelor in Engineering Petroleum Technology - 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 Industrial Automation and Signal Processing - Master's Degree Programme - 5 year Robot Technology and Signal Processing - Master's Degree Programme Structural and Mechanical Engineering - Master of Science Degree Programme. Five Years Advanced teacher education for level 8-13 in science Mathematics and Physics - Five Year Integrated Master's Degree Programme Marine and Subsea Technology, Master of Science Degree Programme, Five Years Offshore Technology - Master's Degree Programme Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master of Science Degree Programme, Five Years Master's Degree Programme in Societal Safety, Specialisation in Technical Social Safety
Exchange programme at Faculty of Science and Technology
Mathematics - One-Year Programme Science and Technology - one-year programme

Course assessment

Form and/or discussion.

Literature

Book

Calculus : a complete course Adams, Robert A., Essex, Christopher, Don Mills, Ont., Pearson, XIX, 1060, A-85 s., cop. 2018, isbn:9780134154367,

Contact

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Alexander Ulanovskii

Course teacher:

Alexander Rashkovskii

Offered by

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1