Business Mathematics and StatisticsLaajuus (3 cr)
Code: RAK1B4
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Materials
Lecture material as indicated by the lecturer
Enrollment
22.04.2024 - 04.09.2024
Timing
07.01.2025 - 25.04.2025
Credits
3 op
Virtual proportion (cr)
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM23Bachelor of Construction Site Management
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
Total work load of the course: 80 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
22.04.2024 - 04.09.2024
Timing
07.01.2025 - 25.04.2025
Credits
3 op
Virtual proportion (cr)
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RAK23Bachelor of Engineering, Construction Engineering
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
Total work load of the course: 80 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
09.08.2023 - 17.01.2024
Timing
08.01.2024 - 26.04.2024
Credits
3 op
Virtual proportion (cr)
2.5 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM22
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
80 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
09.08.2023 - 17.01.2024
Timing
08.01.2024 - 26.04.2024
Credits
3 op
Virtual proportion (cr)
2.5 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
Teachers
- Juhani Paananen
Student groups
-
RAK22
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
Total work load of the course: 80 h
- of which scheduled studies: 1 h
- of which autonomous studies: 79 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
17.04.2023 - 06.09.2023
Timing
14.08.2023 - 10.12.2023
Credits
3 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Seats
1 - 40
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
MRKM22
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
80 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
26.08.2022 - 12.02.2023
Timing
09.01.2023 - 26.02.2023
Credits
3 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM21
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
80 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
03.12.2021 - 23.01.2022
Timing
10.01.2022 - 27.02.2022
Credits
3 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM20
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
Total work load of the course: 80 h
- of which scheduled studies: 1 h
- of which autonomous studies: 79 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Enrollment
03.12.2021 - 23.01.2022
Timing
10.01.2022 - 08.05.2022
Credits
3 op
Virtual proportion (cr)
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RAK21
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer
Teaching methods
Lectures, calculations, computer work and assignments
Student workload
Total work load of the course: 80 h
- of which scheduled studies: 1 h
- of which autonomous studies: 79 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.
Assessment methods and criteria
Final examination and assigments, assessment 0-5
Timing
01.01.2022 - 31.07.2022
Credits
3 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Student groups
-
MRKM20
Objective
Learning competence
Students are competent in basic percentage calculation. They know how to calculate simple and compound interests. They apply various investment calculation methods to evaluate profitability of investments. Students are able to interpret indexes and to apply them to monetary value calculation. They are familiar with the more common statistical indicators and their use in the analysis of measurement results. Students are competent in the basic use of the more common mathematical calculation software.
Working community competence
Students are able to present the stages of business mathematical and statistical problem solving orally and in writing and also via online and virtual communication. Students are competent in graphical illustration of business mathematical and statistical research results and able to apply indicators to summarise data. Students are able to make economic decisions based on business mathematical and statistical observations. They are able to function in various groups and teams and to manage teams, which seek solutions for business mathematical and statistical problems.
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.
Content
Business mathematics:
- Basic percentage calculations
- Percentage changes
- Simple and compound interest
- Discount
- Methods for evaluating the profitability of investments
- Indexes
Statistics:
- Common statistical key figures
- Concepts and applications related to average, dispersion, correlation and regression
- Common statistical distributions
- Statistical research: planning, implementation, analysis of the results and reporting
- Measurement errors and their management
Mathematical software
- Microsoft Excel
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student knows the basics of simple calculation of interest and compound interest. They are able to calculate indicators needed in statistical analysis from measuring data.
Assessment criteria, good (3)
The student is able to use methods of calculation of interest to solve practical problems. They are able to use statistical analysis methods needed in the processing of measuring data.
Assessment criteria, excellent (5)
The student masters calculation of interest well and is able to use investment calculation methods in investment profitability calculations. They are able to search for information about statistical analysis methods to solve practical problems of different types.