Algebra and geometry (5 cr)

Evaluation scale

H-5

Objective

You understand the fundamental principles and methods of algebra, trigonometry and geometry and are able to apply them to problems related to your field. You develop logical thinking and problem-solving skills and recognize the importance of mathematics as a tool and its role in the development of machine learning and data engineering. You learn to utilize calculators and computational software to solve mathematical problems.

After completing the course, you are able to handle arithmetic and algebraic expressions and solve first- and second-degree equations and inequality by hand. These skills are fundamental to problems relevant to your field. You can identify various functions as mathematical models and use them to analyze phenomena and make predictions. You master the calculation routines related to the trigonometry of right-angled and general triangles and are able to calculate areas and volumes of different shapes and objects.

Content

Set theory and number sets
Expressions, polynomials and factoring
Linear and quadratic equations, inequality, forming equations from word problems
Linear, quadratic, exponential and logarithmic functions
Domain and range of functions, extrema of quadratic functions
Triangles: Pythagorean theorem, trigonometric functions of a right triangle, the laws of sine and cosine
Plane and solid geometry

Location and time

Autumn term 2025, Lapland University of Applied Sciences, Rantavitikka campus (Rovaniemi, Jokiväylä 11)

Materials

Study material is available as an eBook and on the Moodle learning platform.

Teaching methods

Lessons and exercises

Exam schedules

The number and date of exams will be agreed on during the course. Resit is possible by the end of the next term.

Completion alternatives

Studying independently is possible. All exercises must be returned in time to be evaluated.

Student workload

5 credits, approximately 135 hours of work

Assessment criteria, satisfactory (1)

You are able to distinguish unlike terms and simplify simple algebraic expressions. You can solve linear and quadratic equations. You can apply equations to simple word problems. You know how to form an expression for a linear function and use it as a mathematical model. You are able solve sides and angles of right-angled and general triangles. You can calculate areas and volumes.

Assessment criteria, good (3)

You can solve simple basic set theory problems. You can simplify algebraic expressions. You can solve inequality and linear and quadratic equations also by factoring and form appropriate equations from word problems. You can form expressions for polynomial functions and use various types of functions as mathematical models. You are able apply the calculation formulas for right-angled and general triangles to calculate the sides and angles of various triangles. You can use appropriate formulas to solve plane and solid geometry calculations and word problems.

Assessment criteria, excellent (5)

You can solve basic set theory problems. You can form and solve complicated inequality and equations also by factoring. You can select and create appropriate mathematical models for given data and use them to make predictions. You can apply plane and solid geometry formulas, as well as trigonometry, in versatile problems.