Basics of engineering mathematics (5 cr)

Evaluation scale

H-5

Content scheduling

The lessons of the course are held in weeks 38-49. Attendance at lessons is compulsory.


Mathematical skills learned in the course are basic skills needed in vocational studies and in working life.
Contents:
- Number representations and number sets
- Basic calculations and order of calculations
- Unit conversions and SI system units
- Powers and powers of ten (also negative and root = fractional powers)
- Processing of polynomials (Simplification of expressions, also fractional expressions)
- Function values and reading the graph of the function
- 1st degree functions and 1st degree function graph
- 1st degree equations and inequalities (also ratios)
- Percentage calculation
- 2nd degree functions and the graph of a 2nd degree function
- 2nd degree equations and inequalities
- Pairs and groups of equations
- Basics of matrix calculation
- Right and oblique triangle trigonometry
- Geometry of other bodies
- Vector calculus
- Angles and angle units
- Trigonometric functions on the unit circle
- Trigonometric equations
- Exponential, logarithmic and trigonometric functions and their graphs
- Exponential, logarithmic and trigonometric equations
- Basic use of MATLAB math software

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

Materials

Electronic and online material, educational videos in the Itslearning learning system and linked there

Teaching methods

learning-by-doing, task-based, independent study, calculation workshops

The course provides the prerequisites for studying the mathematics and physics courses included in engineering education with the help of diverse teaching, guided calculation exercises, electronic Ville exercises, independent practice and group work.

Exam schedules

Midterm exams in weeks 43 and 50
If necessary, 2 repetitions during spring 2024 (exam measuring the content of the entire course)

International connections

learning-by-doing, supporting learning
Learning is largely based on the student's own active participation and performance.
The mathematical skills learned in the course are basic skills needed in working life.
The evaluation is based on completed tasks and demonstration of competence in the exam(s).

Completion alternatives

Independent study and an approved course exam and MATLAB online course

Student workload

5 credits = 135 h of student work, divided on average
- Joint calculation workshops 52 h
- Independent study with the help of calculation handouts and guide videos, about 3 hours/handout = 33 hours
- Independent study at ViLLE 3 hours/week = 20 hours
- Rehearsal for the exam/exams 16 h
- Exam/exams 2-4 h
- MATLAB-Onramp software study 10 h

Further information

The teacher sends the most important announcements of the course by e-mail. Contact the teacher by email (aaro.mustonen@turkuamk.fi). Information related to lessons in Itslearning. Announcements related to the course in Itslearning on the Course Overview page.

Software used: ViLLE, MATLAB, GeoGebra
The student must have at least a function calculator (a graphic or symbolic calculator will also work)