Study Guide

Objective

The students learn the basics of technical drawing, basics of 3D modelling and obtain adequate skills for developing further into a cad-professional. The students learn how to print 3D-models.

Content

- Basics of technical drawing
- Technical 2D drawing
- 3D basics
- 3D printing

Materials

ITS + videomaterial

Completion alternatives

Other similar courses.

Content scheduling

Basics of technical drawing (Autocad)
- Technical 2D drawing
- 3D modelling
- 3D printing

Evaluation scale

H-5

Assessment methods and criteria

Course tasks and exam

Qualifications

-

Objective

Student understands the basic of calculus and is able to
• Apply the derivative to analyze functions
• Apply differentials for error calculations
• Apply the definite integrals, e.g., in calculation of area or average
• Apply differential equations for modeling phenomena within engineering framework

Content

• Limit of a function
• Derivative function
• Differentials
• Integral function
• Definite integral
• Separable differential equations
• Linear differential equations

Evaluation scale

H-5

Objective

Student understands the basic of calculus and is able to
• Apply the derivative to analyze functions
• Apply differentials for error calculations
• Apply the definite integrals, e.g., in calculation of area or average
• Apply differential equations for modeling phenomena within engineering framework

Content

• Limit of a function
• Derivative function
• Differentials
• Integral function
• Definite integral
• Separable differential equations
• Linear differential equations

Materials

The course follows the contents of Calculus 1 on the Open Stax website (https://openstax.org/details/books/calculus-volume-1)
In addition, the course uses other material presented online and during contact teaching sessions.
The MATLAB programme is also used during the course, so the student should have access to a personal computer.
The Finnish support book is "Insinöörin matematiikka, Tuomenlehto et.al."

Teaching methods

Methods supporting the construction of the student's own knowledge:
Contact teaching, online learning, collaborative learning, independent work.
The completion of exercises plays a key role in learning, and group work is encouraged in this respect.

Exam schedules

Subtests in weeks 9 and 17.

International connections

Learning methods that support the student's own activity and construction of knowledge

Student workload

- Theoretical areas and calculation exercises approx. 60 h
- Intermediate tests measuring competence 2 x 2 h (or final exam 2 h)
- Independent practical training approximately 70 h (approximately 4 hours/week + practical training for tests/tests)

Content scheduling

The basics of differential and integral calculations and differential equations are discussed in the course. In addition, the pupils familiarise themselves with complex numbers and limit values. The aim is to expand the basis of mathematical thinking needed in engineering studies and tasks as well as the ability to read and use the language of mathematics in professional contexts. In addition, the aim is to familiarise yourself with the use of MATLAB software in modelling and solving mathematical problems. The aim of the course is to use as many examples of engineering work as possible.

More detailed content:
- complex numbers and their applications
- limit values and definition of derivative
- derivation calculation rules
- the concept of differential
- deriving applications
- a specific integral and integral function
- integral calculation rules
- integrated applications
- differential equations and solving them
- differential equation applications

Evaluation scale

H-5

Assessment methods and criteria

In English
The total grade 0-5 for the course is calculated using the course points collected (max 100 points). Course points can be collected
- Two sub-tests (á max 50 p)
- Independent exercises at ViLLE (max. 6 points)
- Weekly calculation exercises (max 12 pts). A precondition for receiving the course points is returning calculation tasks in advance and a self-evaluation based on calculation lesson or model solutions, which has been returned by the normative duration of studies (usually by the end of the week).

The total number of course points collected from the exercises is 18 p, corresponding to approximately 1.5 course numbers.

Students who complete the course with intermediate exams must take both exams. If the completion of the second intermediate exam is exhausted, the course will be renewed with the exam.

Assessment criteria, fail (0)

The student does not achieve at least 40% of the course points = 40p
The student has not participated in both midterm exams.

Assessment criteria, satisfactory (1-2)

Grade 1 requires at least 40% of the course points = 40p
Grade 2 requires at least 52% of the course points = 52p

Assessment criteria, good (3-4)

A grade of 3 requires at least 40% of the course points = 64p
A grade of 4 requires at least 52% of the course points = 76p

Assessment criteria, excellent (5)

Grade 5 requires at least 88% of the course points = 88p

Objective

Student is able to use following mathematical tools within engineering framework:
• Handling and simplifying mathematical expressions
• Solving equations, groups of equations and inequalities
• Functions
• Vector algebra and vector models of technical phenomena
• Matrix algebra

Content

• Mathematical expressions, equations, groups of equations and inequalities
• Matrix algebra, inverse matrix and determinant
• Polynomial functions
• Exponential functions
• Logarithmic functions
• Trigonometric functions and radians
• Vector algebra

Evaluation scale

H-5

Objective

Student is able to use following mathematical tools within engineering framework:
• Handling and simplifying mathematical expressions
• Solving equations, groups of equations and inequalities
• Functions
• Vector algebra and vector models of technical phenomena
• Matrix algebra

Content

• Mathematical expressions, equations, groups of equations and inequalities
• Matrix algebra, inverse matrix and determinant
• Polynomial functions
• Exponential functions
• Logarithmic functions
• Trigonometric functions and radians
• Vector algebra

Evaluation scale

H-5

Objective

Students are able to use vocabulary related to quality and metrology. She/he can identify different quality management systems and can discuss their content and application to practice.

Content

The course includes
• Metrology-related subjects: calibration, traceability, validation (methods, equipment) measurement uncertainty
• Quality Management Systems (ISO, GMP/GLP) and related vocabulary
• Guidelines relating to different topics (e.g. validation and measurement uncertainty)

Evaluation scale

H-5

Qualifications

Students should have experience working in a chemical, biochemical, biotech, or microbiology lab. Knowledge of laboratory equipment and laboratory work methods contribute to understanding and embracing the issues of the course.

Objective

After completing the course a student can:
- find him/herself a workplace in the field of technology
- enter into a contract with the employer
- act upon the contractual obligations and responsibilities
- be present at the work place on the agreed dates and at the agreed times
- complete work assignments, at least under supervision
- describe functions of an organization and social relationships there
- evaluate the results of the work placement period.

Content

Getting familiar with working life and the profession in the field of technology.
The minimum total extent of practice included in the B.Eng. degree is 30 cr.

Evaluation scale

Hyväksytty/Hylätty

Objective

Student understands the basic of calculus and is able to
• Apply the derivative to analyze functions
• Apply differentials for error calculations
• Apply the definite integrals, e.g., in calculation of area or average
• Apply differential equations for modeling phenomena within engineering framework

Content

• Limit of a function
• Derivative function
• Differentials
• Integral function
• Definite integral
• Separable differential equations
• Linear differential equations

Evaluation scale

H-5

Objective

Student is able to use following mathematical tools within engineering framework:
• Handling and simplifying mathematical expressions
• Solving equations, groups of equations and inequalities
• Functions
• Vector algebra and vector models of technical phenomena
• Matrix algebra

Content

• Mathematical expressions, equations, groups of equations and inequalities
• Matrix algebra, inverse matrix and determinant
• Polynomial functions
• Exponential functions
• Logarithmic functions
• Trigonometric functions and radians
• Vector algebra

Evaluation scale

H-5

Objective

Student understands the basic of calculus and is able to
• Apply the derivative to analyze functions
• Apply differentials for error calculations
• Apply the definite integrals, e.g., in calculation of area or average
• Apply differential equations for modeling phenomena within engineering framework

Content

• Limit of a function
• Derivative function
• Differentials
• Integral function
• Definite integral
• Separable differential equations
• Linear differential equations

Materials

The course follows the contents of Calculus 1 on the Open Stax website (https://openstax.org/details/books/calculus-volume-1)
In addition, the course uses other material presented online and during contact teaching sessions.
The MATLAB programme is also used during the course, so the student should have access to a personal computer.
The Finnish support book is "Insinöörin matematiikka, Tuomenlehto et.al."

Teaching methods

Methods supporting the construction of the student's own knowledge:
Contact teaching, online learning, collaborative learning, independent work.
The completion of exercises plays a key role in learning, and group work is encouraged in this respect.

Exam schedules

Subtests in weeks 9 and 17.

International connections

Learning methods that support the student's own activity and construction of knowledge

Student workload

- Theoretical areas and calculation exercises approx. 60 h
- Intermediate tests measuring competence 2 x 2 h (or final exam 2 h)
- Independent practical training approximately 70 h (approximately 4 hours/week + practical training for tests/tests)

Content scheduling

The basics of differential and integral calculations and differential equations are discussed in the course. In addition, the pupils familiarise themselves with complex numbers and limit values. The aim is to expand the basis of mathematical thinking needed in engineering studies and tasks as well as the ability to read and use the language of mathematics in professional contexts. In addition, the aim is to familiarise yourself with the use of MATLAB software in modelling and solving mathematical problems. The aim of the course is to use as many examples of engineering work as possible.

More detailed content:
- complex numbers and their applications
- limit values and definition of derivative
- derivation calculation rules
- the concept of differential
- deriving applications
- a specific integral and integral function
- integral calculation rules
- integrated applications
- differential equations and solving them
- differential equation applications

Evaluation scale

H-5

Assessment methods and criteria

In English
The total grade 0-5 for the course is calculated using the course points collected (max 100 points). Course points can be collected
- Two sub-tests (á max 50 p)
- Independent exercises at ViLLE (max. 6 points)
- Weekly calculation exercises (max 12 pts). A precondition for receiving the course points is returning calculation tasks in advance and a self-evaluation based on calculation lesson or model solutions, which has been returned by the normative duration of studies (usually by the end of the week).

The total number of course points collected from the exercises is 18 p, corresponding to approximately 1.5 course numbers.

Students who complete the course with intermediate exams must take both exams. If the completion of the second intermediate exam is exhausted, the course will be renewed with the exam.

Assessment criteria, fail (0)

The student does not achieve at least 40% of the course points = 40p
The student has not participated in both midterm exams.

Assessment criteria, satisfactory (1-2)

Grade 1 requires at least 40% of the course points = 40p
Grade 2 requires at least 52% of the course points = 52p

Assessment criteria, good (3-4)

A grade of 3 requires at least 40% of the course points = 64p
A grade of 4 requires at least 52% of the course points = 76p

Assessment criteria, excellent (5)

Grade 5 requires at least 88% of the course points = 88p

Objective

Students are able to use vocabulary related to quality and metrology. She/he can identify different quality management systems and can discuss their content and application to practice.

Content

The course includes
• Metrology-related subjects: calibration, traceability, validation (methods, equipment) measurement uncertainty
• Quality Management Systems (ISO, GMP/GLP) and related vocabulary
• Guidelines relating to different topics (e.g. validation and measurement uncertainty)

Evaluation scale

H-5

Qualifications

Students should have experience working in a chemical, biochemical, biotech, or microbiology lab. Knowledge of laboratory equipment and laboratory work methods contribute to understanding and embracing the issues of the course.

Objective

The students learn the basics of technical drawing, basics of 3D modelling and obtain adequate skills for developing further into a cad-professional. The students learn how to print 3D-models.

Content

- Basics of technical drawing
- Technical 2D drawing
- 3D basics
- 3D printing

Materials

ITS + videomaterial

Completion alternatives

Other similar courses.

Content scheduling

Basics of technical drawing (Autocad)
- Technical 2D drawing
- 3D modelling
- 3D printing

Evaluation scale

H-5

Assessment methods and criteria

Course tasks and exam

Qualifications

-

Objective

Student is able to use following mathematical tools within engineering framework:
• Handling and simplifying mathematical expressions
• Solving equations, groups of equations and inequalities
• Functions
• Vector algebra and vector models of technical phenomena
• Matrix algebra

Content

• Mathematical expressions, equations, groups of equations and inequalities
• Matrix algebra, inverse matrix and determinant
• Polynomial functions
• Exponential functions
• Logarithmic functions
• Trigonometric functions and radians
• Vector algebra

Evaluation scale

H-5

Objective

After completing the course a student can:
- find him/herself a workplace in the field of technology
- enter into a contract with the employer
- act upon the contractual obligations and responsibilities
- be present at the work place on the agreed dates and at the agreed times
- complete work assignments, at least under supervision
- describe functions of an organization and social relationships there
- evaluate the results of the work placement period.

Content

Getting familiar with working life and the profession in the field of technology.
The minimum total extent of practice included in the B.Eng. degree is 30 cr.

Evaluation scale

Hyväksytty/Hylätty