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Course Catalog 2014-2015
ELT-41726 Background for Electromagnetic Systems, 3 cr |
Additional information
The courses ELT-41726 Background for Electromagnetic Systems and ELT-41736 Analysis of Electromagnetic Systems contain central concepts and mathematical tools used in electrical engineering. Some attention is also paid on proper working methods (e.g. reporting skills) to aid the further studies.
Person responsible
Asser Lähdemäki, Jari Kangas
Lessons
| Study type | P1 | P2 | P3 | P4 | Summer | Implementations | Lecture times and places |
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Requirements
Exam, essay assignment, and one lab. Exam is preferably taken by completing a set of tasks.
Completion parts must belong to the same implementation
Learning Outcomes
After completing the course, the student is able to apply linear algebra, ordinary differential equations, multivariable analysis, and relevant series expansions and transforms in engineering problems. Student knows functionality of common passive and active electric circuit components. Student has gained experience on utilizing the mathematical tools as well as using Matlab to solve related mathematical problems. Student is able to explain basic principles of scientific writing and prepare a short report accordingly. Student has also gained experience on finding information from relevant sources.
Content
| Content | Core content | Complementary knowledge | Specialist knowledge |
| 1. | Vectors, vector spaces, linearity, and applications. Vector valued and linear maps. Linear systems of equations. Visualization and calculations with Matlab. Resistive circuits and systematic methods to solve them. | ||
| 2. | Ordinary differential equations and their application in time-dependent system analysis. Analytical solution techniques, transformation to first order system. Time-dependent electric circuits. | Local linearization principle in deriving models for devices. | |
| 3. | Multivariable analysis and its applications in circuit theory. Taylor series, linearization. Optimality, solution of nonlinear systems and essentials of Fourier techniques. | Orthogonality, normalization in functional spaces. Principles of deriving the Fourier series, i.e. use of orthogonality and error minimization. | |
| 4. | Complex numbers and time-harmonic system analysis. Impedance, transfer function. Complex Fourier techniques. First order passive electronic filters. |
Instructions for students on how to achieve the learning outcomes
The recommended way to take the exam includes various tasks: homework problems and minor exams. The exam determines the grade. The essay assignment and the labs are mandatory to pass, and bonus will be awarded from their high quality. The tasks are intended to activate students to study throughout the course and hence support their learning. To get a grade 3, student needs to know well the core content. For higher grades, student need also to know complementary knowledge.
Assessment scale:
Numerical evaluation scale (1-5) will be used on the course
Partial passing:
Study material
| Type | Name | Author | ISBN | URL | Edition, availability, ... | Examination material | Language |
| Lecture slides | Available from the course homepage | Yes | English |
Prerequisite relations (Requires logging in to POP)
Correspondence of content
| Course | Corresponds course | Description |
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More precise information per implementation
| Implementation | Description | Methods of instruction | Implementation |