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Applied Mathematics (CAY0001), 5 op
Basic information
| Course name: | Applied Mathematics Applied Mathematics |
| Course Winha code: | CAY0001 |
| Kurre acronym: | ApMath |
| Credits: | 5 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 1.year |
| Implementation: | Autumn semester, 1.period, 2.period |
| Semester: | 0607 |
| Language of tuition: | English |
| Teacher: | Jaakko Pitkänen |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
Mathematics for Electrical Engineering and Computing (chapters 1-14), by Mary Attenborough
Course contents (core content level)
Discrete mathematics: set theory, switching and logic circuits, propositional logic and methods of proof; engineering applications: expert systems and control. Boolean algebra. Graph theory.
Probability and statistics: Describing individual variables. Probability and conditional probability. Random variables and distributions: e.g. normal, exponential, binomial, Poisson, Student t-, Chi-square, Fisher F- distributions. Identifying relationships in the data: Chi-square test for independence, correlation analysis, regression analysis.
Computer mathematics with MATLAB.
Course contents (additional)
Discrete mathematics: Language theory. Probability and statistics: Identifying relationships in the data: analysis of variance (ANOVA). Empirical research methods in WEB and software engineering: experiment (hypothesis testing), case study, survey (data collection), post-mortem analysis.
Core content level learning outcomes (knowledge and understanding)
After completing the course the student will know several methods in discrete mathematics and in probability theory and statistics, to model and analyse real systems. Will understand restrictions to models. Will be able to criticise results of the models and experiments made.
Core content level learning outcomes (skills)
After completing the course the student will be able to model simple real problems and use a computer to solve them and visualise the results.
Recommended reading
Mathematics for Electrical Engineering and Computing by Mary Attenborough
Teaching and learning strategies
Class room teaching, laboratory exercises, examinations and a group work.
Teaching methods and student workload
Lectures
Individual research, reading
Exam
Laboratory assignments
Report/project
Assessment weighting and grading
Two examinations with approval (at least 40 % of the maximum), laboratory exercises and a group work.
Related competences of the degree programme
Theoretical basis and mathematical and science skills