Study Guide

Objective

Student obtains the skills and knowledge required for successful performance in basic mathematics and physics courses within engineering education.

Content

• Handling mathematical variables and expressions
• Calculations involving percents
• Calculations involving exponents (including negative and fractional exponents)
• Handling equations (degrees 1. and 2.)
• Basics of geometry
• Plotting functions
• Expressing measurement results graphically
• Interpretation of graphical presentations
• Calculations involving physical quatities and units
• International system of Units (SI)
• Handling physical equations, e.g., equations describing movements with constant speed or acceleration.

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 the engineering education through diverse teaching, guided calculation exercises, electronic Ville exercises, independent practice and group work.

Exam schedules

One course exam in week 41.

International connections

learning-by-doing, supporting learning

Completion alternatives

Independent study and an approved course exam.

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
- Rehearsal for the exam 16 h
- Exam 2 h
- Studying MATLAB software 10 h

Content scheduling

Opening lecture in week 36. Teaching weekly in weeks 36-41. More detailed schedule on the course's Itslearning pages.

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
- Calculating with fractions and handling fractional expressions
- Quantities and the SI system
- Processing of units in calculations and unit conversions
- 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
- A pair of linear equations
- Basics of matrix calculation
- Right triangle trigonometry
- Different angular units
- Basics about the geometry of other bodies
- Getting to know ICT software (Matlab, Geogebra...)

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.

Evaluation scale

H-5

Assessment methods and criteria

Overall evaluation of the course
The numerical grade 0-5 of the course is formed with the help of collected course points (max 50 points). It is possible to collect course points

One course exam (max 50p). The failed performance is repeated with a course exam.
About weekly calculation exercises (max 12 p, more detailed instructions below).
The grade is determined according to the following table

Grade 1 requires 25 points
Grade 2 requires 33 points
Grade 3 requires 41 points
Grade 4 requires 49 points
Grade 5 requires 55 points

Assessment criteria, fail (0)

The student lacks one of the required passing conditions:
- The student has not achieved at least 40% = 25 course points in total