Differential and integral calculus

Structure Type: Course
Code: KC00AMT1020
Type: Compulsory
Level: Bachelor
Credits: 3.0 points
Responsible Teacher: Paananen, Juhani
Teacher Team: Paananen, Juhani ; Mikkonen, Pasi ; Kokkonen, Heikki
Language of Instruction: Finnish

Course Implementations, Planned Year of Study and Semester

Curriculum  Semester  Credits  Start of Semester  End of Semester
AUTE-2013KAUT   2 autumn   3.0   2014-09-01   2014-12-31  
AUTE-2013SAUT   2 autumn   3.0   2014-09-01   2014-12-31  
BIOEL-2013   1 spring   3.0   2014-01-02   2014-07-31  
KOTU-2013AUTO   1 spring   3.0   2014-01-02   2014-07-31  
KOTU-2013KOTU   1 spring   3.0   2014-01-02   2014-07-31  
TITE-2013   1 spring   3.0   2014-01-02   2014-07-31  
AUTE-2014KAUT   2 autumn   3.0   2015-08-01   2015-12-31  
AUTE-2014SAUT   2 autumn   3.0   2015-08-01   2015-12-31  
KOTU-2014AUTO   1 spring   3.0   2015-01-02   2015-07-31  
KOTU-2014KOTU   1 spring   3.0   2015-01-02   2015-07-31  
TITE-2014   1 spring   3.0   2015-01-02   2015-07-31  
AUTE-2015KAUT   2 autumn   3.0   2016-08-01   2016-12-31  
AUTE-2015SAUT   1 spring   3.0   2016-01-01   2016-07-31  
KOTU-2015AUTO   2 autumn   3.0   2016-08-01   2016-12-31  
KOTU-2015KOTU   2 autumn   3.0   2016-08-01   2016-12-31  
TITE-2015   2 autumn   3.0   2016-08-01   2016-12-31  
AUTE-2016KAUT   2 autumn   3.0   2017-08-01   2017-12-31  
AUTE-2016SAUT   2 autumn   3.0   2017-08-01   2017-12-31  
KOTU-2016AUTO   2 autumn   3.0   2017-08-01   2017-12-31  
KOTU-2016KOTU   2 autumn   3.0   2017-08-01   2017-12-31  
TITE-2016   2 spring   3.0   2018-01-01   2018-07-31  

Learning Outcomes

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. They will also apply this knowledge in their Professional Studies and working world.

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 and Trigonometry

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
- Small differentials
- Applications in engineering (deflection of beam, shear and moment, moment of inertia)

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 48 h, independent study

Assessment Criteria

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

Final exam

Work Placement

None

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