Introduction to Mathematical Sciences (5 cr)

Evaluation scale

H-5

Content scheduling

PART 1:
1 Basic arithmetic operations
2 Fractions
3 Powers
4 Roots
5 Polynomials, simplifying rational expressions
6 Polynomial equations of 1. and 2. degree
7 Simultaneous linear equations

PART 2:
8 Variable and function, graphs of functions
9 Lines and parabolas
10 Basics of geometry
11 Basics of trigonometry
12 Percentages
13 Quantity and unit
14 Basics of physics

Objective

Student obtains the skills and knowledge required for basic courses of mathematical sciences within polytechnical studies.

Content

• Real numbers
• Basic arithmetic operations and the order of operations
• Fractions
• Powers, roots and rational exponents
• Polynomials and polynomial equations of 1. and 2. degree
• Simplifying rational expressions
• Percentages
• Simultaneous linear equations
• Lines and parabolas
• Concepts of variable and function
• Graphs of functions and interpretation of graphs
• Basics of geometry and trigonometry
• International system of units, unit conversions
• Calculations involving quantities and units
• Field-specific content

Materials

Course material shared by the teacher through Itslearning.
ViLLE-exercises at ville.utu.fi
Function calculator (Casio fx-82EX or similar).

Teaching methods

Lectures, self-study, homework, homework sessions, exams

Exam schedules

The exam part 1 on 6.3.2025. The first retake on 14.3.2025.
The exam part 2 on 23.4.2025. The first retake on 29.4.2025
The final retake in 5.5.2025 where student can do both Part 1 and 2, or just one of the other
Exact times in the schedule.

Student workload

Lectures 13*2h = 26h
Homework sessions 11*2h = 22h
Exams 4h
Self-study (homework, exercises, preparing for exams etc.) ~86 h

Further information

Itslearning and email