Mathematics
| Structure Type: | Course |
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| Code: | KC03MAT105 |
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| Type: | Compulsory |
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| Level: | Bachelor |
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| Credits: | 10.0 points |
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| Responsible Teacher: | Lassila, Hannu |
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| Teacher Team: | Kokkonen, Heikki |
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| Language of Instruction: | Finnish |
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Course Implementations, Planned Year of Study and Semester
| Curriculum | Semester | Credits | Start of Semester | End of Semester |
| BIOEL-2014 |
1 autumn |
5.0 |
2014-09-01 |
2014-12-31 |
| BIOEL-2014 |
1 spring |
5.0 |
2015-01-02 |
2015-07-31 |
| BIOEL-2015 |
1 autumn |
5.0 |
2015-08-01 |
2015-12-31 |
| BIOEL-2015 |
1 spring |
5.0 |
2016-01-01 |
2016-07-31 |
Learning Outcomes
Common part (5 ects):
The purpose of the course is to advance students' mathematical skills.
Professional part (5 ects):
Upon completion of the course, students will be able to define the derivative and integral for one-variable functions. They will be competent in derivating and integrating the more common mathematical functions and calculating definite integrals and applying their knowledge to common applications. Students will also be capable of calculation tools to solve problems in one-variable differential and integral calculus and be able to solve simple differential equations. They will also apply this knowledge in their Professional Studies and working world.
Student's Workload
Total work load of the course: 270 h
- of which scheduled studies: 120 h
- of which autonomous studies: 150 h
Prerequisites / Recommended Optional Courses
No previous studies are required
Contents
Common part (5 ects):
- Basic calculations
- Fractions
- Powerand roots
- Equations
- Percentages
- Trigonometric functions
- Area and volume of plane figures
- Functions
- Financial calculations
Professional part (5 ects):
- Definition of one-variable derivative and integral
- Polynomials: derivation and integration
- Composite functions: derivation and integration
- Tangent of a curve
- Extreme values
- Definite integral
- Area and volume
- Small differentials
- Concept of a differential equation
- separate differential equation
- first and second order linear differential equation
- Applications in engineering
Recommended or Required Reading
Material distributed by the lecturer
Mode of Delivery / Planned Learning Activities and Teaching Methods
- Lectures and assignments
- Approved midterm exams
- Contact teaching: 45 %.
Students may also complete the course by taking a test given at the beginning of the course. Fifty per cent of the test must be passed to receive full credit for the course.
Assessment Criteria
Common part (5 ects)
Level 1: The student knows basic skills of matematics, percentage calculations and to calculate the asked part volumes or areas from the geometry investing in given diagrams.
Level 3: The student can adapt given diagrams.
Level 5: The student can solve problems using mathematical skills
Professional part (5 ects)
excellent (5): student understands and is able to apply the methods of calculus excellently
good (3-4): student understands and is able to apply the methods of calculus well
satisfactory (1-2): students understands the basics of calculus
Assessment Methods
Written examination (midterm examinations )
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