Study Guide

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

To be announced at the beginning of the course

Teaching methods

Lectures and exercises 35 h, independent study

Student workload

Total work load of the course: 80 h
- of which scheduled studies: 35 h
- of which autonomous studies: 45 h

Further information

grades 1 - 5

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Final exam

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

To be announced at the beginning of the course

Teaching methods

Lectures and exercises 35 h, independent study

Student workload

Total work load of the course: 80 h
- of which scheduled studies: 35 h
- of which autonomous studies: 45 h

Further information

grades 1 - 5

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Final exam

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

To be announced at the beginning of the course

Teaching methods

Lectures and exercises 16 h, independent study

Student workload

Total work load of the course: 81 h
- of which scheduled studies: 15 h
- of which autonomous studies: 66 h

Further information

grades 1 - 5

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Final exam

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

To be announced at the beginning of the course

Teaching methods

Lectures and exercises 35 h, independent study

Student workload

Total work load of the course: 80 h
- of which scheduled studies: 35 h
- of which autonomous studies: 45 h

Further information

grades 1 - 5

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Final exam

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

To be announced at the beginning of the course

Teaching methods

Lectures and exercises 16 h, independent study

Student workload

Total work load of the course: 81 h
- of which scheduled studies: 15 h
- of which autonomous studies: 66 h

Further information

grades 1 - 5

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Final exam

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

To be announced at the beginning of the course

Teaching methods

Lectures and exercises

Student workload

Total work load of the course: 80 h
- of which scheduled studies: 28 h
- of which autonomous studies: 52 h

Further information

grades 1 - 5

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Final exam

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Qualifications

Algebra and Trigonometry

Objective

Upon completion of the course, students will be competent in:
- doing 3D vector calculations.
- using vectors to solve problems pertaining to space geometry.
- solving equations of a straight line.
- utilising linear optimization.
- doing matrix algebra
- using calculation tools.
- utilising the above-mentioned methods in their Professional Studies and in the working world.

Content

- Addition of vector
- Unit vectors
- Scalar product and cross product
- Scalar component and vector component
- Scalar triple product
- Vectors in statics
- Equation of a straight line
- Linear optimization
- Matrix algebra

Materials

The learning material is in the moodle

Teaching methods

Lectures and independent study

Student workload

Lectures 15 h and independent study 66 h

Evaluation scale

1-5

Assessment criteria, satisfactory (1)

satisfactory (1-2): The student knows and understands to a satisfactory extent the basic concepts and methods of vectors and matrices, and is able to apply them to usual problems

Assessment criteria, good (3)

good (3-4): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to different types of problems. The student is able to combine the accumulated knowledge and skills with previous experiences in the subject.

Assessment criteria, excellent (5)

excellent (5): The student is familiar with the concepts and methods of vectors and matrices, and is able to apply them to a variety of different problems. The student has demonstrated creativity and innovation, and is able to find new meanings when applying what they have learned.

Assessment methods and criteria

Exam

Qualifications

Algebra and Trigonometry