Differential and Integral CalculusLaajuus (3 cr)
Code: AE00CM44
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Derivative, interpretation as slope,
geometric and physical applications
Integral, interpretation as area,
geometric and physical applications
Differential equations
Qualifications
Algebra and geometry, Vectors and matrices
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of differential and integral calculus, and is able to apply them to usual problems.
Assessment criteria, good (3)
good (3-4): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.
Assessment criteria, excellent (5)
excellent (5): ): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned
Enrollment
22.04.2024 - 09.10.2024
Timing
21.10.2024 - 18.12.2024
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AE23Bachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Derivative, interpretation as slope,
geometric and physical applications
Integral, interpretation as area,
geometric and physical applications
Differential equations
Materials
to be announced at the beginning of the course
Teaching methods
lectures, independent study
Student workload
lectures 32h, independent study
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of differential and integral calculus, and is able to apply them to usual problems.
Assessment criteria, good (3)
good (3-4): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.
Assessment criteria, excellent (5)
excellent (5): ): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned
Assessment methods and criteria
exercises + exam
Qualifications
Algebra and geometry, Vectors and matrices
Enrollment
22.04.2024 - 04.09.2024
Timing
02.09.2024 - 18.12.2024
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pekka Sahimaa
Student groups
-
AFE23Bachelor of Engineering, Agri-Food Engineering , full time studies
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Derivative, interpretation as slope,
geometric and physical applications
Integral, interpretation as area,
geometric and physical applications
Differential equations
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of differential and integral calculus, and is able to apply them to usual problems.
Assessment criteria, good (3)
good (3-4): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.
Assessment criteria, excellent (5)
excellent (5): ): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned
Qualifications
Algebra and geometry, Vectors and matrices
Enrollment
17.04.2023 - 11.10.2023
Timing
23.10.2023 - 17.12.2023
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AE22Bachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Derivative, interpretation as slope,
geometric and physical applications
Integral, interpretation as area,
geometric and physical applications
Differential equations
Materials
to be announced at the beginning of the course
Teaching methods
lectures, independent study
Student workload
lectures 32h, independent study
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of differential and integral calculus, and is able to apply them to usual problems.
Assessment criteria, good (3)
good (3-4): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.
Assessment criteria, excellent (5)
excellent (5): ): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned
Assessment methods and criteria
exercises
Qualifications
Algebra and geometry, Vectors and matrices
Enrollment
17.04.2023 - 11.10.2023
Timing
23.10.2023 - 17.12.2023
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Agri-food Engineering
Teachers
- Leo Sippola
Student groups
-
AFE22Bachelor of Engineering, Agri-Food Engineering , full time studies
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Derivative, interpretation as slope,
geometric and physical applications
Integral, interpretation as area,
geometric and physical applications
Differential equations
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of differential and integral calculus, and is able to apply them to usual problems.
Assessment criteria, good (3)
good (3-4): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.
Assessment criteria, excellent (5)
excellent (5): ): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned
Qualifications
Algebra and geometry, Vectors and matrices
Enrollment
16.04.2022 - 12.10.2022
Timing
24.10.2022 - 18.12.2022
Credits
3 op
Teaching languages
- English
Degree programmes
- Bachelor of Engineering, Automation Engineering
Teachers
- Pasi Mikkonen
Student groups
-
AE21Bachelor of Engineering, Automation Engineering
Objective
Students will be competent in using the mathematical methods described in the course contents to solve practical mathematical problems.
Content
Derivative, interpretation as slope,
geometric and physical applications
Integral, interpretation as area,
geometric and physical applications
Differential equations
Materials
to be announced at the beginning of the course
Teaching methods
lectures, independent study
Student workload
lectures 32h, independent study
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of differential and integral calculus, and is able to apply them to usual problems.
Assessment criteria, good (3)
good (3-4): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.
Assessment criteria, excellent (5)
excellent (5): ): The student is familiar with the concepts and methods of differential and integral calculus, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned
Assessment methods and criteria
exercises
Qualifications
Algebra and geometry, Vectors and matrices