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Vector Analysis MAT300

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


Course description for study year 2021-2022

Facts
Course code

MAT300

Version

1

Credits (ECTS)

10

Semester tution start

Autumn

Number of semesters

1

Exam semester

Autumn

Language of instruction

English

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. 
Content
Vector calculus, second order curves and surfaces, directional derivatives, multiple integrals, line and surface integrals, vector fields, Stokes', Green's and divergence theorems. 
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 A - F Compilation of mathematical formulae (Rottmann)Specified printed and hand-written means are allowed. Definite, basic calculator allowed

Coursework requirements
4 assignments
Course teacher(s)
Course coordinator: Tyson Ritter
Head of Department: Bjørn Henrik Auestad
Method of work
Six hours per week consisting of lectures and exercise classes.
Open for
Biological Chemistry - Biotechnology - Bachelor's Degree Programme Civil Engineering - Bachelor's Degree Programme Computer Science- Bachelor's degree programme in computer science Control Engineering and Circuit Design, Vocational Path Control Engineering and Circuit Design - Bachelor's Degree Programme Chemistry and Environmental Engineering - Bachelor's Degree Programme Mechanical Engineering - Bachelor's Degree Programme Mathematics and Physics - Bachelor's Degree Programme Geosciences Engineering - Bachelor's Degree Programme Petroleum Technology - Bachelor's Degree Programme Admission to Single Courses at the Faculty of Science and Technology City and Regional Planning - Master of Science City and Regional Planning - Master's Degree Programme Computer Science - Master's Degree Programme Environmental Engineering - Master of Science Degree Programme Industrial economics - Master's Degree Programme Industrial economics - Master's Degree Programme - 5 year Industrial Automation and Signal Processing - Master's Degree Programme - 5 year Robot Technology and Signal Processing - Master's Degree Programme Mechanical and Structural Engineering and Materials Science- Master's Degree Programme - 5 years Mathematics and Physics, 5-year integrated Master's Programme Marine- and Subsea Technology - Five-Year Master's Programme Offshore Technology - Master's Degree Programme Petroleum Engineering - Master of Science Degree Programme Petroleum Engineering - Master`s Degree programme in Petroleum Engineering, 5 years Technical Societal Safety - Master's Degree Programme Exchange programme at Faculty of Science and Technology Mathematics - One-year programme
Course assessment
Form and/or discussion.
Overlapping courses
Course Reduction (SP)
Mathematics 3 - Vector Analysis (ÅMA290) 5
Mathematics 3 - Vector analysis (TE0302) 6
Mathematics 3 - Vector analysis (TE0302) 6
Literature
The syllabus can be found in Leganto