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Matematiikan peruskurssi B (MATLE0112), 5 op
Basic information
| Course name: | Matematiikan peruskurssi B Basic course in mathematics B |
| Course Winha code: | MATLE0112 |
| Kurre acronym: | MatPkB |
| Credits: | 5 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 1.year |
| Implementation: | Spring semester |
| Semester: | 0607 |
| Language of tuition: | Suomi |
| Teacher: | Jyrki Piila |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
MATLE0052, MATLE0111
Course contents (core content level)
- Complex numbers and AC circuits
- Limits and continuity
- Derivative as a measure of change, numerical differentiation
- Applications of derivative in electronics and kinematics
- Differentiation by using tables (or computer)
- Applied maximum and minimum problems
- Integral function as an antiderivative
-Integration by using tables (or computer)
- Definite integral as the net signed area and how to approximate it by using Riemann sums.
- The connection between integral functions and definite integrals (or the first fundamental theorem of calculus )
- Improper integrals
Course contents (additional)
- More advanced integration methods: Integration by parts and integration by using partial fraction decomposition
- Numerical integration: Simpson's rule
- The basic idea of an ordinary differential equation (ODE)
Core content level learning outcomes (knowledge and understanding)
After completion of this course the student is able to handle complex numbers both in ordinary sum form and in polar form. The participant can apply complex algebra in order to solve AC circuit problems. Student is familiar with differentiation and integration and can use these methods in simple applications.
Core content level learning outcomes (skills)
Student uses fluently computer when problems described above are concerned.
Recommended reading
All the necessary material (written by the lecturer) can be found in the internet address, which is given to students in the beginning of the course. If student wants more support to studies, the suitable book is e.g.
Launonen, Sorvali, Toivonen: Teknisten ammattien matematiikka 3Y , WSOY.
Teaching and learning strategies
Class room teaching: 56 h
Laboratory exercises: 14 h
Exams: 6 h
Student individual workload 57 h (student workload analysis is not carried out)
Total: 133 h
Teaching methods and student workload
Assessment weighting and grading
In order to pass the course (grade 1), student should get 40% (in all) of the total score in two individual tests . The ability to write Matlab code is also checked in tests. Homework activity has influence on the grade.
Related competences of the degree programme
Theoretical basis and mathematical and science skills