Vector Analysis
| Structure Type: | Study unit |
|---|---|
| Code: | IYTS9303 |
| Type: | Optional obligatory / Professional Studies |
| Curriculum: | I-YT 2012 |
| Level: | Bachelor of Engineering |
| Year of Study: | 4 (2015-2016) |
| Credits: | 3 cr |
| Responsible Teacher: | Niemi, Henry |
| Language of Instruction: | Finnish |
Learning Outcomes
The basic problem of vector analysis is: How to differentiate and integrate vectors? This question raises in certain engineering applications of mathematics, especially when we consider a flow of given substance, no matter whether that substance is, say, water flowing in a pipeline, or energy carried by a radio wave. During this course a student will learn the basic concepts and theorems of vector analysis, and to apply them in the problems of mechanics, fluid mechanics, and electrical engineering.
Student's Workload
The total amount of student's work is 81 h, which contains 48 h of contact studies.
Prerequisites / Recommended Optional Courses
Analysis: Differential- and Integral Calculus basics and Differential equations and series
Contents
Linear maps, affine transforms and eigenvalue problems. Plane-, space-, surface- and line integrals, gradient, potential of a vector field and differential operators. Green’s, Stokes’ and Gauss’ theorems.
Recommended or Required Reading and Other Learning Resources/Tools
Kreyszig, E: "Advanced Engineering Mathematics", John Wiley & Sons; the material prepared by the lecturer.
Mode of Delivery / Planned Learning Activities and Teaching Methods
The basics of learning constitutes of lectures where the theory is explained and examples are given. A mere attending the lectures and listening to the lecturer is not sufficient for proper learning. In practice, an independent pondering of the contents of the course becomes best realized when a student solves independently, at home, the problems given by the lecturer. Solutions to the problems are given during the lectures. Students are given exercises which are to be solved with a computer.
Assessment Criteria
Grade 1: The student knows those subjects of the course, which are necessary for the forthcoming studies and working life.
Grade 3: The student is well-abled to utilize the course contents.
Grade 5: The student is able to apply creatively the contents of the course.
Assessment Methods
Exercises and examination. The student is required to perform at least one quarter of the homework exercises. All the given computer-related exercises must be handed in before the end of the course.