Math1 Equations (3 cr)

Evaluation scale

0-5

Content scheduling

The course content will be covered in cycles of two/one weeks in the following order:

1. Review of basics and notation
2. Rules of exponents and roots
3. Polynomials and rational expressions
4. First-degree equations
5. Introduction to functions, lines
6. Second-degree polynomial functions and equations
7. Percentage calculations and proportions
8. Systems of equations
9. Geometry

Objective

Course purpose

During this course you will learn mathematical equation solving skills that are necessary during your studies in the field of technology.

Course competences

EUR-ACE: Knowledge and understanding
You have the knowledge and understanding of mathematics and other basic sciences underlying your engineering specialisation, at a level necessary to achieve the other programme learning outcomes.

Learning outcomes

After completing this course you are able to simplify expressions. You are able to solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of a calculator or a computer. You are able to solve mathematical problems by using given models. You also get to know mathematical content related to your own field of study.

Content

In this course, you will learn the mathematical equation solving skills you need to study engineering. You will master the sieving of expressions and be able to solve polynomial and root equations and groups of equations manually, graphically and using computer technology. You will learn how to solve mathematical problems using ready-made models and become familiar with the mathematical content of the degree programme. This course will give you a strong foundation in solving technical problems and applying mathematical skills in practice.

Most important contents are:

- Simplifying expressions (fractional exponents, polynomials, rational expressions, binomial formulas)
- Drawing and interpreting graphs of functions
- Linear equations and lines
- Quadratic equations and parabolas
- Equations involving roots
- Systems of equations
- Percentages and proportions
- Trigonometry of right triangles
- Basics of solid geometry
- Degree-program-related content

Materials

Teacher-created written and video learning materials, along with exercises and tests, in the online learning environment.

Teaching methods

This online course is intended for students retaking the course. The course follows a set schedule, involves extensive problem-solving, and requires the submission of written assignments for evaluation.

Online teaching, independent study and practice, online guidance.

Employer connections

-

Exam schedules

Pass/fail exam in the Exam studio according to your own schedule. Retakes by January 2026 at the latest.

International connections

-

Completion alternatives

This implementation is recommended for students retaking the course.

Student workload

Calculationally 3 credits * 27 hours/credit = 81 hours. Throughout the fall, at least five hours each week should be reserved for studying the course topics and doing the exercises.

Assessment criteria, satisfactory (1)

Grade 1

You are able to simplify expressions. You recognise different types of equations and are able to solve simple polynomial equations, equations involving roots and pairs of equations. You can solve verbal and geometric problems when the mathematical model is given.

Grade 2

You understand the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.

Assessment criteria, good (3)

Grade 3

You master the notion and notation of polynomial equations. You can solve polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve simple verbal and geometric problems.

Grade 4

You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then solve such verbal and geometric problems that coincide with previously treated problems.

Assessment criteria, excellent (5)

Grade 5

You master the notion and notation of polynomial equations. You can solve challenging polynomial equations, equations involving roots and systems of equations by hand, graphically and with the help of information technology. You are able to mathematically model and then creatively solve new verbal and geometric problems.

Qualifications

You know the fundamental rules of arithmetic and can perform basic mathematical operations both numerically and symbolically. You know the difference between an expression and an equation. You can solve simple equations of first and second degree. You are familiar with basic calculations involving percentage. You know what a function is.

Further information

The course assessment is based on a pass/fail exam (mandatory for all grades), tests in the online learning environment, submitted exercises, and a grading exam.