Introduction to Mathematical Sciences (5 cr)

Evaluation scale

H-5

Content scheduling

Part A:
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 B:
8 Percentages
9 Concepts of variable and function, graphs of functions
10 Lines and parabolas
11 Basics of geometry
12 Basics of trigonometry
13 International system of units, unit conversions
14 Field-specific content: speed/acceleration, volume/mass/density

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

Lecture notes.
Exercises.
Can be found from ITSL-website.

Teaching methods

Lectures.
Exercises.
Exams.

Exam schedules

First exam after lectures of Part A. One re-exam.
Second exam after lectures of Part B. One re-exam.
One re-exam where student can do both Part A and B, or just one of the other.

Student workload

Lectures 14*2h
Exercises 14*2h
Exams 2*2h
Rest is independent work by the student

Further information

Email.