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Integral Calculus and Laplace Transforms (MATLC0128), 5 op
Basic information
| Course name: | Integral Calculus and Laplace Transforms Integral Calculus and Laplace Transforms |
| Course Winha code: | MATLC0128 |
| Kurre acronym: | Int&Laplace |
| Credits: | 5 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 1.year |
| Implementation: | Spring semester, 3.period, 4.period |
| Semester: | 0708 |
| Language of tuition: | English |
| Teacher: | Timo Salin |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
MATLC0020 Basic Course of Mathematics
Course contents (core content level)
IIntegral function and definite integral, simple integral formulas, application to areas, volumes and circuit analysis. Mean and rms values of functions. Laplace transform and inverse transform with applications to differential equations, in particular circuit problems. Unit impulse, step and ramp functions.
Course contents (additional)
Integration by parts and substitution. Numerical methods, arc length, moments and centre of gravity. Laplace transform of piecewise defined functions, complicated circuits. Transfer function and stability, convolution.
Core content level learning outcomes (knowledge and understanding)
After completion of this course the student understands the meaning of integration and knows the most important applications. The student knows the Laplace transform and its basic rules and their applications. The student knows the correspondence of circuit elements in time domain and s-domain and understands the difference between stationary and transient solutions.
Core content level learning outcomes (skills)
After completion of this course the student is able to calculate simple integrals and use them in applications. The student can do the Laplace transform and inverse transform of simple expressions and use them in the analysis of circuit problems, at least series and parallel connections of two impedances.
Recommended reading
Croft ? Davison ? Hargreaves: Engineering Mathematics
Teaching and learning strategies
Lectures and presentations
laboratory assignments
examinations
homework and self-study
Teaching methods and student workload
Exam
Lectures and assignments
Self-study
Laboratory assignments
Assessment weighting and grading
Examinations (40 % of maximal points) and computer assignments
Related competences of the degree programme
Theoretical basis and mathematical and science skills