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MathematicsLaajuus (3 cr)

Code: BE22ED40

Credits

3 op

Objective

The student:
- can apply the trigonometry of the right-angeled triangle
- can solve polynomial equations and graphically interpret polynomial functions
- can denote and calculate arithmetic and geometric series
- understand how to use mathematical functions and models to describe scientific phenomena
- can make calculations with growth functions
- understands causes and sees opportunities in using logarithmic and exponential functions
- can use basic logarithmic rules to solve exponential equations
- knows the concepts of limit value and derivatives and can apply rules for simple functions

Content

Mathematickal expressions
Equations of the first degree
Formulas
Equations of the second degree
Equation systems
Polynomial functions, exponential and logarithmic functions
Rules of Logarithms
Exponential equations
Derivatives, physical examples and simple optimizations
From the basic mathematics course:
- Units and fractions
- Proportionality
- Percent
- Rectangular triangle
- Areas and volumes

Qualifications

No prerequisites.

Assessment criteria, satisfactory (1)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a satisfactory level.

Assessment criteria, good (3)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a good level.

Assessment criteria, excellent (5)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a excellent level.

Materials

To be announced in Moodle.

Enrollment

15.06.2024 - 12.01.2025

Timing

06.01.2025 - 28.02.2025

Number of ECTS credits allocated

3 op

Virtual portion

2.5 op

Mode of delivery

17 % Contact teaching, 83 % Distance learning

Unit

Faculty of Bioeconomy

Teaching languages
  • Svenska
Degree programmes
  • Degree Programme in bioeconomy
Teachers
  • Taina Sjöholm
Groups
  • BE24DA-E
    Agrolog (YH), h24, Bioekonomi, dagstudier
  • ÖH24BES-LED-R
    Öppna YH, Bioekonomi, skogsbruksingenjör ledstudier
  • BE24DS-E
    Skogsbruksingenjör (YH), h24, Bioekonomi, dagstudier
  • ÖH24BEA-LED-R
    Öppna YH, Bioekonomi, Agrolog ledstudier

Objective

The student:
- can apply the trigonometry of the right-angeled triangle
- can solve polynomial equations and graphically interpret polynomial functions
- can denote and calculate arithmetic and geometric series
- understand how to use mathematical functions and models to describe scientific phenomena
- can make calculations with growth functions
- understands causes and sees opportunities in using logarithmic and exponential functions
- can use basic logarithmic rules to solve exponential equations
- knows the concepts of limit value and derivatives and can apply rules for simple functions

Content

Mathematickal expressions
Equations of the first degree
Formulas
Equations of the second degree
Equation systems
Polynomial functions, exponential and logarithmic functions
Rules of Logarithms
Exponential equations
Derivatives, physical examples and simple optimizations
From the basic mathematics course:
- Units and fractions
- Proportionality
- Percent
- Rectangular triangle
- Areas and volumes

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a satisfactory level.

Assessment criteria, good (3)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a good level.

Assessment criteria, excellent (5)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a excellent level.

Qualifications

No prerequisites.

Enrollment

01.12.2023 - 31.01.2024

Timing

02.01.2024 - 25.02.2024

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Bioeconomy

Teaching languages
  • Svenska
Degree programmes
  • Degree Programme in bioeconomy
Teachers
  • Christel Holmlund-Norrén
  • Johnny Sved
  • Sofia Frilund
Groups
  • ÖH23FLEX-BES
    Öppna YH, Flexibelt till skogsbruksingenjör
  • ÖH23FLEX-BEA
    Öppna YH, Flexibelt till agrolog

Objective

The student:
- can apply the trigonometry of the right-angeled triangle
- can solve polynomial equations and graphically interpret polynomial functions
- can denote and calculate arithmetic and geometric series
- understand how to use mathematical functions and models to describe scientific phenomena
- can make calculations with growth functions
- understands causes and sees opportunities in using logarithmic and exponential functions
- can use basic logarithmic rules to solve exponential equations
- knows the concepts of limit value and derivatives and can apply rules for simple functions

Content

Mathematickal expressions
Equations of the first degree
Formulas
Equations of the second degree
Equation systems
Polynomial functions, exponential and logarithmic functions
Rules of Logarithms
Exponential equations
Derivatives, physical examples and simple optimizations
From the basic mathematics course:
- Units and fractions
- Proportionality
- Percent
- Rectangular triangle
- Areas and volumes

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a satisfactory level.

Assessment criteria, good (3)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a good level.

Assessment criteria, excellent (5)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a excellent level.

Qualifications

No prerequisites.

Enrollment

01.12.2023 - 31.12.2023

Timing

01.01.2024 - 23.02.2024

Number of ECTS credits allocated

3 op

Virtual portion

2 op

Mode of delivery

34 % Contact teaching, 66 % Distance learning

Unit

Faculty of Bioeconomy

Teaching languages
  • Svenska
Degree programmes
  • Degree Programme in bioeconomy
Teachers
  • Taina Sjöholm
Groups
  • BE23DS-E
    Skogsbruksingenjör (YH), h23, Bioekonomi, dagstudier
  • ÖH23BEA-LED-R
    Öppna YH, Bioekonomi, Agrolog ledstudier
  • BE23DA-E
    Agrolog (YH), h23, Bioekonomi, dagstudier

Objective

The student:
- can apply the trigonometry of the right-angeled triangle
- can solve polynomial equations and graphically interpret polynomial functions
- can denote and calculate arithmetic and geometric series
- understand how to use mathematical functions and models to describe scientific phenomena
- can make calculations with growth functions
- understands causes and sees opportunities in using logarithmic and exponential functions
- can use basic logarithmic rules to solve exponential equations
- knows the concepts of limit value and derivatives and can apply rules for simple functions

Content

Mathematickal expressions
Equations of the first degree
Formulas
Equations of the second degree
Equation systems
Polynomial functions, exponential and logarithmic functions
Rules of Logarithms
Exponential equations
Derivatives, physical examples and simple optimizations
From the basic mathematics course:
- Units and fractions
- Proportionality
- Percent
- Rectangular triangle
- Areas and volumes

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a satisfactory level.

Assessment criteria, good (3)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a good level.

Assessment criteria, excellent (5)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a excellent level.

Qualifications

No prerequisites.

Enrollment

01.12.2022 - 01.01.2023

Timing

02.01.2023 - 24.02.2023

Number of ECTS credits allocated

3 op

Virtual portion

2 op

Mode of delivery

34 % Contact teaching, 66 % Distance learning

Unit

Faculty of Bioeconomy

Teaching languages
  • Svenska
Degree programmes
  • Degree Programme in bioeconomy
Teachers
  • Taina Sjöholm
Teacher in charge

Taina Sjöholm

Groups
  • BE22DA-E
    Agrolog (YH), h22, Bioekonomi, dagstudier
  • BE22DS-E
    Skogsbruksingenjör (YH), h22, Bioekonomi, dagstudier

Objective

The student:
- can apply the trigonometry of the right-angeled triangle
- can solve polynomial equations and graphically interpret polynomial functions
- can denote and calculate arithmetic and geometric series
- understand how to use mathematical functions and models to describe scientific phenomena
- can make calculations with growth functions
- understands causes and sees opportunities in using logarithmic and exponential functions
- can use basic logarithmic rules to solve exponential equations
- knows the concepts of limit value and derivatives and can apply rules for simple functions

Content

Mathematickal expressions
Equations of the first degree
Formulas
Equations of the second degree
Equation systems
Polynomial functions, exponential and logarithmic functions
Rules of Logarithms
Exponential equations
Derivatives, physical examples and simple optimizations
From the basic mathematics course:
- Units and fractions
- Proportionality
- Percent
- Rectangular triangle
- Areas and volumes

Evaluation scale

H-5

Assessment criteria, satisfactory (1)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a satisfactory level.

Assessment criteria, good (3)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a good level.

Assessment criteria, excellent (5)

Students fulfill the objectives of the course, and in the relevant course-making compulsory elements, at a excellent level.

Qualifications

No prerequisites.