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Mathematics in Technology 2Laajuus (3 cr)

Code: AT00CH49

Credits

3 op

Teaching language

  • English

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

06.05.2024 - 30.08.2024

Timing

09.09.2024 - 20.12.2024

Number of ECTS credits allocated

3 op

Virtual portion

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • English
Seats

1 - 100

Degree programmes
  • Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
  • Päivi Porras
Scheduling groups
  • Online lecture (Size: 0. Open UAS: 0.)
Groups
  • TLTISSE23SV
    Bachelor’s Degree Programme in Sustainable Solutions Engineering 23SV Lahti
Small groups
  • Online lecture

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

This course has contact lectures but material enables studying also at own pace. However, questions are answered during the contact lectures, not by email.

Learning material and recommended literature

All material is available 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
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Mathematics in Technology 1 or corresponding knowledge.

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 - 30.08.2024

Timing

01.08.2024 - 31.12.2024

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 Industrial Mechanical Engineering
Teachers
  • Timo Ryynänen
  • Seppo Toivanen
  • Tapani Heikkilä
Groups
  • TLPRMEC23S

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

This course will be completed with an integration for student projects. When these projects have calculation needs and calculation skill requirements, these competences will be evaluated via these credits.

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

3 op

Mode of delivery

Distance learning

Unit

Faculty of Technology (LAB)

Campus

E-campus

Teaching languages
  • English
Seats

1 - 100

Degree programmes
  • Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
  • Päivi Porras
Scheduling groups
  • Online lectures (Size: 0. Open UAS: 0.)
Groups
  • TLTISSE22SV
  • TLTIEX23S1
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

This is an online course of Mathematics in Technology 2.

The course can be studied at own pace but lectures are once a week on Mondays at 10.15am - 11.45am.

Learning material and recommended literature

All material is available 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
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Mathematics in Technology 1 or corresponding knowledge.

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

01.08.2023 - 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
Seats

1 - 100

Degree programmes
  • Bachelor’s Degree Programme in Mechanical Engineering (2021, 2022, 2023)
Teachers
  • Päivi Porras
Scheduling groups
  • Lectures (Size: 0. Open UAS: 0.)
Groups
  • TLPRMEC22S
  • TLPREX23SM
Small groups
  • 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

This course has contact lectures but material enables studying also at own pace. However, questions are answered during the contact lectures, not by email.

Learning material and recommended literature

All material is available 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
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Mathematics in Technology 1 or corresponding knowledge.

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

15.08.2022 - 04.09.2022

Timing

05.09.2022 - 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, Lahti

Teaching languages
  • English
Degree programmes
  • Bachelor’s Degree Programme in Sustainable Solutions Engineering
Teachers
  • Päivi Porras
Scheduling groups
  • Online (Size: 0. Open UAS: 0.)
Groups
  • TLTISSE21SV
Small groups
  • Online

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

This is an online course of Mathematics in Technology 2.

The course can be studied at own pace but lectures are once a week on Wednesday at 2pm - 4pm.

Learning material and recommended literature

All material is available 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
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Mathematics in Technology 1 or corresponding knowledge.

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

Lappeenranta Campus

Teaching languages
  • Finnish
Degree programmes
  • Bachelor's Degree Programme in Mechanical Engineering and Production Technology (2016-2021)
Teachers
  • Päivi Porras
Scheduling groups
  • Lectures (Size: 0. Open UAS: 0.)
Groups
  • TLPRIIT21S
  • TLPRMEC21S
Small groups
  • 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

This course has contact lectures but material enables studying also at own pace. However, questions are answered during the contact lectures, not by email.

Learning material and recommended literature

All material is available 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
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Mathematics in Technology 1 or corresponding knowledge.

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.