AlgebraLaajuus (2 cr)
Code: RAK1B1
Objective
Learning competence
Students are competent in basic real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Enrollment
13.11.2023 - 17.01.2024
Timing
12.02.2024 - 14.04.2024
Credits
2 op
Virtual proportion (cr)
1.5 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
MRKM24Bachelor of Construction Site Management, Multimodal implementation
Objective
Learning competence
Students are competent in basic real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Teaching methods
Lectures, calculations and assignments
Student workload
53 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Assessment methods and criteria
Final examination, assessment 0-5
Enrollment
17.04.2023 - 11.10.2023
Timing
23.10.2023 - 17.12.2023
Credits
2 op
Virtual proportion (cr)
1.5 op
Teaching languages
- Finnish
Seats
1 - 40
Degree programmes
- Bachelor of Construction Site Management
Teachers
- Juhani Paananen
Student groups
-
RKM23Bachelor of Construction Site Management
Objective
Learning competence
Students are competent in basic real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Teaching methods
Lectures, calculations and assignments
Student workload
53 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Assessment methods and criteria
Final examination, assessment 0-5
Enrollment
17.04.2023 - 11.10.2023
Timing
23.10.2023 - 17.12.2023
Credits
2 op
Virtual proportion (cr)
1.5 op
Teaching languages
- Finnish
Seats
1 - 40
Degree programmes
- Bachelor of Engineering, Construction Engineering
Teachers
- Juhani Paananen
Student groups
-
RAK23Bachelor of Engineering, Construction Engineering
Objective
Learning competence
Students are competent in basic real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Teaching methods
Lectures, calculations and assignments
Student workload
53 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Assessment methods and criteria
Final examination, assessment 0-5
Enrollment
16.04.2022 - 12.10.2022
Timing
24.10.2022 - 18.12.2022
Credits
2 op
Virtual proportion (cr)
1 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 real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Teaching methods
Lectures, calculations and assignments
Student workload
53 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Assessment methods and criteria
Final examination, assessment 0-5
Enrollment
16.04.2022 - 12.10.2022
Timing
24.10.2022 - 18.12.2022
Credits
2 op
Virtual proportion (cr)
1 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 real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Teaching methods
Lectures, calculations and assignments
Student workload
53 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Assessment methods and criteria
Final examination, assessment 0-5
Enrollment
03.12.2021 - 13.03.2022
Timing
10.01.2022 - 22.05.2022
Credits
2 op
Teaching languages
- Finnish
Degree programmes
- Bachelor of Engineering, Construction Engineering
- Bachelor of Construction Site Management
Teachers
- Pekka Sahimaa
Student groups
-
MRKM22
Objective
Learning competence
Students are competent in basic real number calculations. They know how to calculate values of expression by means of calculation instruments. Students are familiar with exponential and polynomial rules. They are able to solve simple algebraic equations and systems of equations. They know how to do linear interpolation for table values.
Working community competence
Students are able to present the stages of algebraic problem solving orally and in writing and also via online and virtual communication. They are competent in graphical illustration of mathematical models. Students are able to function in various groups and teams and to manage teams, which seek solutions for algebraic 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
Arithmetic:
- Representation of real numbers, calculations and order of operations
- Approximations and precision
Algebraic expressions:
- mathematical expression and its value
- Extended concept of exponentiation
- Calculation rules for exponentation and roots
- Polynomials
Algebraic equations:
- First and second degree equations and how to solve them
- Systems of linear equations and how to solve them
- Direct and inverse proportionality
- Proportional to power and root
- Linear interpolation
Function and its graph
- Graphs of first and second degree polynomial functions
- Fractional functions and their graphs
Materials
Tekniikan Kaavasto, Tammertekniikka.
Lecture material as indicated by the lecturer.
Teaching methods
Lectures, calculations and assignments
Student workload
Total work load of the course: 54 h
- of which scheduled studies: 15 h
- of which autonomous studies: 39 h
Evaluation scale
1-5
Assessment criteria, satisfactory (1)
The student is able to solve simple basic first and second-degree equations and systems of equations. They know the basics of exponentiation and logarithm calculation and are able to solve simple exponential equations. The student knows the basics of linear interpolation and is able to solve an interpolation problem formulated in a simple way.
Assessment criteria, good (3)
The student is able to solve also non-standard equations and systems of equations. They are able apply linear interpolation also in non-standard problems.
Assessment criteria, excellent (5)
The student is masters well the steps to solve different equations. They are able apply to convert a mathematical problem into an equation on their won and solve it. They are able to independently search for information when looking for solutions to mathematical problems.
Assessment methods and criteria
Final examination, assessment 0-5