Applied Differential and Integral CalculusLaajuus (3 cr)
Code: BYR22MA04
Credits
3 op
Objective
The student
* knows how to differentiate elementary functions and apply them to standard problems
* Knows how to integrate elementary functions and apply them to standard problems
* is able to formulate and solve more complicated problems mathematically
* knows how to use the mathematical tools dealt with on the course in an innovative manner in solving problems in new situations
Content
- differential calculation (one variable)
- applications with derivatives: differential and optimization problems
-integralkalkyl
- applications with integrals: areas, volumes, arc lengths, centers of gravity, etc. (as needed)
- exercises with Excel and MathCad
Qualifications
The Math Courses Functions and Equations 1 and 2 and Geometry and Vectors or similar knowledge
Assessment criteria, satisfactory (1)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a satisfactory level.
Assessment criteria, good (3)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a good level.
Assessment criteria, excellent (5)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at an excellent level.
Materials
More information on study material can be found in Moodle.
Enrollment
15.06.2025 - 31.08.2025
Timing
25.08.2025 - 17.10.2025
Number of ECTS credits allocated
3 op
Mode of delivery
Contact teaching
Unit
Faculty of Technology and Seafaring
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Civil and Construction Engineering
Teachers
- Taina Sjöholm
Groups
-
BYB24D-EByggmästare (YH), h24,dagstudier, Ekenäs
-
BYS24D-EIngenjör (YH), byggnads- och samhällsteknik, 2024, dagstudier, Ekenäs
Objective
The student
* knows how to differentiate elementary functions and apply them to standard problems
* Knows how to integrate elementary functions and apply them to standard problems
* is able to formulate and solve more complicated problems mathematically
* knows how to use the mathematical tools dealt with on the course in an innovative manner in solving problems in new situations
Content
- differential calculation (one variable)
- applications with derivatives: differential and optimization problems
-integralkalkyl
- applications with integrals: areas, volumes, arc lengths, centers of gravity, etc. (as needed)
- exercises with Excel and MathCad
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a satisfactory level.
Assessment criteria, good (3)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a good level.
Assessment criteria, excellent (5)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at an excellent level.
Qualifications
The Math Courses Functions and Equations 1 and 2 and Geometry and Vectors or similar knowledge
Enrollment
15.06.2024 - 08.09.2024
Timing
02.09.2024 - 25.10.2024
Number of ECTS credits allocated
3 op
Virtual portion
2.5 op
Mode of delivery
17 % Contact teaching, 83 % Distance learning
Unit
Faculty of Technology and Seafaring
Campus
Ekenäs, Raseborgsvägen 9
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Civil and Construction Engineering
Teachers
- Taina Sjöholm
Groups
-
BYS23D-EIngenjör (YH), byggnads- och samhällsteknik, 2023, dagstudier, Ekenäs
-
BYB23D-EByggmästare (YH), h23,dagstudier
Objective
The student
* knows how to differentiate elementary functions and apply them to standard problems
* Knows how to integrate elementary functions and apply them to standard problems
* is able to formulate and solve more complicated problems mathematically
* knows how to use the mathematical tools dealt with on the course in an innovative manner in solving problems in new situations
Content
- differential calculation (one variable)
- applications with derivatives: differential and optimization problems
-integralkalkyl
- applications with integrals: areas, volumes, arc lengths, centers of gravity, etc. (as needed)
- exercises with Excel and MathCad
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a satisfactory level.
Assessment criteria, good (3)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a good level.
Assessment criteria, excellent (5)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at an excellent level.
Qualifications
The Math Courses Functions and Equations 1 and 2 and Geometry and Vectors or similar knowledge
Enrollment
15.06.2023 - 03.09.2023
Timing
28.08.2023 - 20.10.2023
Number of ECTS credits allocated
3 op
Virtual portion
2 op
Mode of delivery
34 % Contact teaching, 66 % Distance learning
Unit
Faculty of Technology and Seafaring
Teaching languages
- Svenska
Degree programmes
- Degree Programme in Civil and Construction Engineering
Teachers
- Taina Sjöholm
Groups
-
BYS22D-EIngenjör (YH), byggnads- och samhällsteknik, 2022, dagstudier, Ekenäs
-
BYB22D-EByggmästare (YH), h22,dagstudier
Objective
The student
* knows how to differentiate elementary functions and apply them to standard problems
* Knows how to integrate elementary functions and apply them to standard problems
* is able to formulate and solve more complicated problems mathematically
* knows how to use the mathematical tools dealt with on the course in an innovative manner in solving problems in new situations
Content
- differential calculation (one variable)
- applications with derivatives: differential and optimization problems
-integralkalkyl
- applications with integrals: areas, volumes, arc lengths, centers of gravity, etc. (as needed)
- exercises with Excel and MathCad
Evaluation scale
H-5
Assessment criteria, satisfactory (1)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a satisfactory level.
Assessment criteria, good (3)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at a good level.
Assessment criteria, excellent (5)
Students fulfill the objectives of the course, and in the relevant realization compulsory parts, at an excellent level.
Qualifications
The Math Courses Functions and Equations 1 and 2 and Geometry and Vectors or similar knowledge