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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
  • RKM23
    Bachelor 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
  • RAK23
    Bachelor 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.