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Mathematics in Technology 2Laajuus (3 cr)

Code: AT00BT69

Credits

3 op

Responsible person

  • Päivi Porras

Objective

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Enrollment

20.11.2024 - 03.01.2025

Timing

07.01.2025 - 30.04.2025

Number of ECTS credits allocated

3 op

Virtual portion

1 op

Mode of delivery

67 % Contact teaching, 33 % Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

10 - 100

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor’s Degree Programme in Environmental Engineering (in Finnish)
Teachers
  • Heidi Rutila
  • Erjaleena Koljonen
Scheduling groups
  • A-ryhmä (Size: 0. Open UAS: 0.)
  • B-ryhmä (Size: 0. Open UAS: 0.)
Groups
  • TLTIENTEC24KM
  • TLTIKONE24KV
Small groups
  • Group A
  • Group B

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

20.11.2024 - 03.01.2025

Timing

07.01.2025 - 25.04.2025

Number of ECTS credits allocated

3 op

Virtual portion

1 op

Mode of delivery

67 % Contact teaching, 33 % Distance learning

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Seats

10 - 50

Degree programmes
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
  • Arttu Siukola
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
Groups
  • TLTIPUU23S
Small groups
  • Lecture 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

20.11.2024 - 03.01.2025

Timing

07.01.2025 - 25.04.2025

Number of ECTS credits allocated

3 op

Virtual portion

1 op

Mode of delivery

67 % Contact teaching, 33 % Distance learning

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Seats

10 - 50

Degree programmes
  • Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (in Finnish), (2022, 2023)
Teachers
  • Arttu Siukola
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
Groups
  • TLTIYKS23S
Small groups
  • Lecture 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

06.05.2024 - 30.08.2024

Timing

02.09.2024 - 13.12.2024

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lahti

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
  • Juha Hyytiäinen
Scheduling groups
  • Luennot 1 (Size: 500. Open UAS: 0.)
Groups
  • TLTITVT23SV
Small groups
  • Lecture 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

06.05.2024 - 30.08.2024

Timing

02.09.2024 - 22.12.2024

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

Lappeenranta Campus

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
  • Petteri Karkkulainen
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
Groups
  • TLPRINFRA23S
  • TLPRTRT23S
Small groups
  • Lecture 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Contact lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Contact lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

06.05.2024 - 08.06.2025

Timing

01.08.2024 - 31.07.2025

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

1 - 400

Degree programmes
  • Complementary competence, Bachelor's (in Finnish)
Teachers
  • Päivi Porras
Groups
  • TLABTO24H

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Self-paced online course.

Automatically checked assignments award points to complete the course. Assignments alone can pass the course, but higher grades require participation in an applied exam.

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Material is in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and applied test

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods formathematical methods and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements mathematical methods and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters mathematical methods and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

20.11.2023 - 05.01.2024

Timing

08.01.2024 - 03.05.2024

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lahti

Teaching languages
  • Finnish
Seats

1 - 100

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor’s Degree Programme in Environmental Engineering (in Finnish)
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
  • Päivi Porras
  • Perttu Laivamaa
Scheduling groups
  • Verkkoluento ryhmä A (Size: 0. Open UAS: 0.)
  • Verkkoluento ryhmä B (Size: 0. Open UAS: 0.)
Groups
  • TLTIENTEC23KM
  • TLTIKONE23KV
  • TLTIPUU23KV
Small groups
  • Online lecture group A
  • Online lecture group A

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Online lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Online lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods formathematical methods and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements mathematical methods and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters mathematical methods and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

20.11.2023 - 05.01.2024

Timing

01.01.2024 - 31.07.2024

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lahti

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
  • Juha Hyytiäinen
Scheduling groups
  • Luennot 1 (Size: 500. Open UAS: 0.)
Groups
  • TLTITVT23KM
Small groups
  • Lecture 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

15.05.2023 - 01.09.2023

Timing

11.09.2023 - 13.12.2023

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

1 - 500

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (in Finnish), (2022, 2023)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
  • Päivi Porras
Scheduling groups
  • Verkko (Size: 0. Open UAS: 0.)
Groups
  • TLPRINFRA22S
  • TLTIYKS22S
  • TLPRTRT22S
  • TLPRKONE22S
  • TLTIPUU22S
  • TLTIKONE22S
Small groups
  • Verkko

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Contact lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Contact lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

15.05.2023 - 01.09.2023

Timing

04.09.2023 - 15.12.2023

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lahti

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
  • Tommi Veijalainen
Scheduling groups
  • Luennot 1 (Size: 500. Open UAS: 0.)
Groups
  • TLTITVT22SV
Small groups
  • Lecture 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

15.05.2023 - 01.09.2023

Timing

04.09.2023 - 31.12.2023

Number of ECTS credits allocated

3 op

Virtual portion

1 op

Mode of delivery

67 % Contact teaching, 33 % Distance learning

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Seats

0 - 100

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (in Finnish), (2022, 2023)
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
  • Erjaleena Koljonen
  • Tiina Valkonen
Scheduling groups
  • A-ryhmä (Size: 0. Open UAS: 0.)
  • B-ryhmä (Size: 0. Open UAS: 0.)
Groups
  • TLTIYKS22S
  • TLTIPUU22S
  • TLTIKONE22S
Small groups
  • Luennot 1
  • Luennot 2

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

15.05.2023 - 01.09.2023

Timing

04.09.2023 - 31.12.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

Lappeenranta Campus

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
  • Perttu Laivamaa
  • Petteri Karkkulainen
Scheduling groups
  • R1 (Size: 0. Open UAS: 0.)
  • R2 (Size: 0. Open UAS: 0.)
Groups
  • TLPRINFRA22S
  • TLPRTRT22S
  • TLPRKONE22S
Small groups
  • R1
  • R2

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Contact lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Contact lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

16.03.2023 - 30.04.2024

Timing

01.08.2023 - 31.07.2024

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

1 - 500

Degree programmes
  • Summer studies (in Finnish)
Teachers
  • Päivi Porras
Groups
  • TLABTO22H
  • LABKES23KH

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Self-paced online course.

Automatically checked assignments award points to complete the course. Assignments alone can pass the course, but higher grades require participation in an applied exam.

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Material is in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and applied test

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods formathematical methods and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements mathematical methods and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters mathematical methods and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

21.11.2022 - 08.01.2023

Timing

09.01.2023 - 31.05.2023

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

5 - 200

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor’s Degree Programme in Environmental Engineering (in Finnish)
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
  • Heidi Rutila
  • Tiina Valkonen
Scheduling groups
  • 1-ryhmä luennot (Size: 0. Open UAS: 0.)
  • 2-ryhmä luennot (Size: 0. Open UAS: 0.)
Groups
  • TLTIKONE22KM
  • TLTIPUU22KM
  • TLTIENTEC22KM
Small groups
  • Luennot 1
  • Luennot 2

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

21.11.2022 - 08.01.2023

Timing

09.01.2023 - 31.05.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Seats

5 - 40

Degree programmes
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
Teachers
  • Tiina Valkonen
Scheduling groups
  • Luennot (Size: 0. Open UAS: 0.)
Groups
  • TLTIPUU21S
Small groups
  • Luennot

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

21.11.2022 - 08.01.2023

Timing

09.01.2023 - 31.05.2023

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

5 - 100

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Urban Planning (in Finnish), (2022, 2023)
  • Bachelor’s Degree Programme in Wood Technology (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Infrastructure Engineering (in Finnish), (2022, 2023)
Teachers
  • Päivi Porras
Scheduling groups
  • Verkkoluento (Size: 0. Open UAS: 0.)
Groups
  • TLPRINFRA22S
  • TLTIPUU20S
  • TLTIYKS22S
  • TLPRTRT22S
  • TLPRKONE22S
  • TLTIKONE22S
Small groups
  • Online lectures

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Contact lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Online lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods formathematical methods and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements mathematical methods and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters mathematical methods and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

21.11.2022 - 08.01.2023

Timing

01.01.2023 - 31.07.2023

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
  • Tommi Veijalainen
Scheduling groups
  • Luennot 1 (Size: 500. Open UAS: 0.)
Groups
  • TLTITVT22K
Small groups
  • Luennot 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

02.05.2022 - 16.09.2022

Timing

08.09.2022 - 16.12.2022

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lappeenranta

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
Teachers
  • Päivi Porras
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
Groups
  • TLTIEYM21S
  • TLPRTRT21S
  • TLPRIYKT21S
  • TLPRKONE21S
  • TLTIKONE21S
Small groups
  • Luennot 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Contact lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Contact lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

01.07.2022 - 04.09.2022

Timing

29.08.2022 - 16.12.2022

Number of ECTS credits allocated

3 op

Virtual portion

1 op

Mode of delivery

67 % Contact teaching, 33 % Distance learning

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Seats

0 - 100

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Energy and Environmental Engineering (in Finnish), (2014-2021)
Teachers
  • Heidi Rutila
  • Erjaleena Koljonen
Scheduling groups
  • A-ryhmä (Size: 0. Open UAS: 0.)
  • B-ryhmä (Size: 0. Open UAS: 0.)
Groups
  • TLTIEYM21S
  • TLTIKONE21S
Small groups
  • Luennot 1
  • Luennot 2

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

01.07.2022 - 04.09.2022

Timing

29.08.2022 - 16.12.2022

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

Lappeenranta Campus

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
Teachers
  • Päivi Porras
  • Petteri Karkkulainen
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
  • Luennot 2 (Size: 0. Open UAS: 0.)
Groups
  • TLPRTRT21S
  • TLPRIYKT21S
  • TLPRKONE21S
Small groups
  • Luennot 1
  • Luennot 2

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Contact lectures

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Contact lectures with material in moodle.

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems. At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83 % of maximum scores.

Enrollment

01.07.2022 - 04.09.2022

Timing

29.08.2022 - 16.12.2022

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lahti

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
  • Tommi Veijalainen
  • Juha Hyytiäinen
Scheduling groups
  • Luennot 1 (Size: 200. Open UAS: 0.)
Groups
  • TLTITVT21SV
Small groups
  • Luennot 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

14.03.2022 - 19.04.2022

Timing

01.05.2022 - 31.08.2022

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • Finnish
Seats

0 - 50

Degree programmes
  • Summer studies (in Finnish)
Teachers
  • Heidi Rutila
  • Erjaleena Koljonen
Groups
  • LABLPRKES22KH
  • LABLTIKES22KH

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

19.11.2021 - 23.01.2022

Timing

10.01.2022 - 31.05.2022

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus, Lappeenranta

Teaching languages
  • Finnish
Seats

1 - 99

Degree programmes
  • Bachelor's Degree Programme in Civil and Construction Engineering, Construction Engineering (in Finnish), (2021, 2022, 2023)
  • Bachelor's Degree Programme in Civil and Construction Engineering, Civil Engineering (in Finnish), (2021)
Teachers
  • Päivi Porras
Scheduling groups
  • R3 (Size: 0. Open UAS: 0.)
Groups
  • TLTIEYM21S
  • TLPRTRT21S
  • TLPRIYKT21S
  • TLTIPUU21S
  • TLPRKONE21S
  • TLTIKONE21S
Small groups
  • R3

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

19.11.2021 - 09.01.2022

Timing

01.01.2022 - 31.07.2022

Number of ECTS credits allocated

3 op

Virtual portion

2 op

Mode of delivery

34 % Contact teaching, 66 % Distance learning

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Seats

5 - 50

Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering (in Finnish)
Teachers
  • Erjaleena Koljonen
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
Groups
  • TLTIKONE21KMLTI
Small groups
  • Luennot 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5

Enrollment

19.11.2021 - 09.01.2022

Timing

01.01.2022 - 31.07.2022

Number of ECTS credits allocated

3 op

Mode of delivery

Contact teaching

Unit

Faculty of Technology (LAB)

Campus

Lahti Campus

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Information Technology (in Finnish)
Teachers
  • Tommi Veijalainen
  • Juha Hyytiäinen
Scheduling groups
  • Luennot 1 (Size: 0. Open UAS: 0.)
Groups
  • TLTITVT21K
Small groups
  • Luennot 1

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Assessment scale

1-5