Study Guide

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

This course has online lectures.

The course is structured so that it can be studied at your own pace. It is possible to pass the course just solving exercises but higher grades (3-5) requires enough points from applied test. Applied test can can be only once, but the date can be your own choice (before end of course).

Lectures are on Mondays and Thursdays at 12:15am - 1.45pm.

Learning material and recommended literature

All material will be in moodle.

Alternative completion methods

Will be informed at the beginning of the course.

Learning environment

The course consists of contact teaching and individual work. We use the Moodle environment.

Contents

- Manipulating expressions
- Percentages
- Linear and quadratic equations
- Pair of equations
- Basic trigonometry
- 2D geometry
- 2D vectors

Assessment scale

1-5

Failed (0)

The student can not solve mathematical problems posed by the teacher. Less than 33% from maximum scores.

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

The student knows the methods the methods of 2d geometry and 2d vectors, and is able to solve simple mechanical problems

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

The student understands the requirements of 2d geometry and 2d vectors, and is able to apply basic mathematics in engineering. Less than 57% from maximum scores.

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

The student masters the methods of 2d geometry and 2d vectors and is able to analyse mathematical tasks in engineering without problems. At least 83% from maximum scores.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

This course tests student prior math level. One can take exam right at the start of the course or after independent studies at the end of the semester. There is a possibility for Q&A sessions in Zoom if so needed and agreed.

Learning material and recommended literature

WWW sources, more detailed information in Moodle.

Learning environment

The course consists of an exam that can be done right at the beginning of the course or after independent study with the materials mentioned in Moodle. Course involves using Wolfram Alpha in problem solving. Possible intensive study sessions if needed and so agreed.

Contents

- Basics of SI-system
- Percentages
- Manipulating expressions
- 1st order function, 2nd order function
- Pair of equations
- Verbal problems
- Right triangle, the law of sines and cosines
- 2D geometry
- 2D vectors

Assessment scale

1-5

Failed (0)

The student doesn't pass the exam.

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

The student has basic knowledge of the course topics and is able to solve simple problems.

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

The student understands the course topics.

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

The student can calculate and use simulation tools to solve mathematical tasks in engineering.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

Lectures and excercises

Alternative completion methods

Will be informed at the beginning of the course.

Learning environment

The course consists of contact teaching and individual work. We use the Moodle environment.

Additional information for students: previous knowledge etc.

- SI system
- Percentages, polynomial equations (1. and 2. degree), systems of two linear equations: word problems
- Basics of trigonometry (right-angled triangle, non-right angled triangle, unit circle)
- Geometry in plane
- Vectors in plane

Assessment criteria

Exercises and an 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 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)

The student masters the methods of 2d geometry and 2d vectors and is able to analyze mathematical tasks in engineering without problems. At least 83% of maximum scores.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

This course has online lectures.

The course is structured so that it can be studied at your own pace. It is possible to pass the course just solving exercises but higher grades (3-5) requires enough points from applied test. Applied test can can be only once, but the date can be your own choice (before end of course).

Lectures are on Mondays and Thursdays at 12:15am - 1.45pm.

Learning material and recommended literature

All material will be in moodle.

Alternative completion methods

Will be informed at the beginning of the course.

Learning environment

The course consists of contact teaching and individual work. We use the Moodle environment.

Contents

- Manipulating expressions
- Percentages
- Linear and quadratic equations
- Pair of equations
- Basic trigonometry
- 2D geometry
- 2D vectors

Assessment scale

1-5

Failed (0)

The student can not solve mathematical problems posed by the teacher. Less than 33% from maximum scores.

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

The student knows the methods the methods of 2d geometry and 2d vectors, and is able to solve simple mechanical problems

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

The student understands the requirements of 2d geometry and 2d vectors, and is able to apply basic mathematics in engineering. Less than 57% from maximum scores.

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

The student masters the methods of 2d geometry and 2d vectors and is able to analyse mathematical tasks in engineering without problems. At least 83% from maximum scores.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

Lectures and excercises

Alternative completion methods

Will be informed at the beginning of the course.

Learning environment

The course consists of contact teaching and individual work. We use the Moodle environment.

Additional information for students: previous knowledge etc.

- SI system
- Percentages, polynomial equations (1. and 2. degree), systems of two linear equations: word problems
- Basics of trigonometry (right-angled triangle, non-right angled triangle, unit circle)
- Geometry in plain
- Vectors in plain

Assessment criteria

Exercises and an 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 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)

The student masters the methods of 2d geometry and 2d vectors and is able to analyze mathematical tasks in engineering without problems. At least 83% of maximum scores.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

This course has online lectures on Wednesdays at 10am-12am and Thursdays at 2pm -4pm.

The course is structured so that it can be studied at your own pace. It is possible to pass the course just solving exercises but higher grades (3-5) requires enough points from applied test. Applied test can can be only once, but the date can be your own choice (before end of course).

Learning material and recommended literature

All material will be in moodle.

Alternative completion methods

Will be informed at the beginning of the course.

Learning environment

The course consists of contact teaching and individual work. We use the Moodle environment.

Contents

- Manipulating expressions
- Percentages
- Linear and quadratic equations
- Pair of equations
- Basic trigonometry
- 2D geometry
- 2D vectors

Assessment scale

1-5

Failed (0)

The student can not solve mathematical problems posed by the teacher. Less than 33% from maximum scores.

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

The student knows the methods the methods of 2d geometry and 2d vectors, and is able to solve simple mechanical problems

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

The student understands the requirements of 2d geometry and 2d vectors, and is able to apply basic mathematics in engineering. Less than 57% from maximum scores.

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

The student masters the methods of 2d geometry and 2d vectors and is able to analyse mathematical tasks in engineering without problems. At least 83% from maximum scores.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

Exam, two possibilities; intensive study session in zoom if needed.

Learning material and recommended literature

Moodle - will be informed at the beginning of the course.

Learning environment

The course consists of an exam with two trials and self-study in moodle. Course involves using Wolfram Alpha in problem solving. Possible intensive study session if needed.

Contents

- Basics of SI-system
- Percentages
- Manipulating expressions
- 1st order function, 2nd order function
- Pair of equations
- Verbal problems
- Right triangle, the law of sines and cosines
- 2D geometry
- 2D vectors

Assessment scale

1-5

Failed (0)

The student doesn't pass the exam.

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

The student has basic knowledge of the course topics and is able to solve simple problems.

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

The student understands the course topics.

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

The student can calculate and use simulation tools to solve mathematical tasks in engineering.

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

Implementation and methods of teaching

Lectures and excercises

Alternative completion methods

Will be informed at the beginning of the course.

Learning environment

The course consists of contact teaching and individual work. We use the Moodle environment.

Additional information for students: previous knowledge etc.

- SI system
- Percentages, polynomial equations (1. and 2. degree), systems of two linear equations: word problems
- Basics of trigonometry (right-angled triangle, non-right angled triangle, unit circle)
- Geometry in plain
- Vectors in plain

Assessment criteria

Exercises and an 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 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)

The student masters the methods of 2d geometry and 2d vectors and is able to analyze mathematical tasks in engineering without problems. At least 83% of maximum scores.