Differential and Integral Calculus
| Structure Type: | Course |
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| Code: | RAK1B5 |
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| Level: | Bachelor |
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| Credits: | 3.0 points |
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| Responsible Teacher: | Paananen, Juhani |
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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 |
| RAK-2015RASU |
2 autumn |
3.0 |
2016-08-01 |
2016-12-31 |
| RAK-2015TUTE |
2 autumn |
3.0 |
2016-08-01 |
2016-12-31 |
| RAK-2016RASU |
2 autumn |
3.0 |
2017-08-01 |
2017-12-31 |
| RAK-2016TUTE |
2 autumn |
3.0 |
2017-08-01 |
2017-12-31 |
Learning Outcomes
Learning competence
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. Students will be able to solve differential equations of beam. They will also apply this knowledge in their Professional Studies and working world.
Working community competence
Students are able to present the stages of problem solving orally and in writing. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for problems in calculus.
Quality management competence
Students are able to apply both exact and approximate methods to determine the correctness of mathematical work. Students know how to estimate the inaccuracy of measurements and take it into consideration.
Student's Workload
Total work load of the course: 80 h
- of which scheduled studies: 48 h
- of which autonomous studies: 32 h
Prerequisites / Recommended Optional Courses
Algebra. Geometry.
Contents
- 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
- Applications in construction engineering (deflection of beam, shear and moment, moment of inertia, differential equation of beam)
Recommended or Required Reading
To be announced at the beginning of the course.
Mode of Delivery / Planned Learning Activities and Teaching Methods
- Lectures and exercises
- Independent study
Assessment Criteria
1 students understands the basics of calculus
3 student understands and is able to apply the methods of calculus well
5 student understands and is able to apply the methods of calculus excellently
Assessment Methods
Final examination, assessment 0-5.
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