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Perusmatematiikka (MATLL0052), 3 op
Basic information
| Course name: | Perusmatematiikka Preparatory course in mathematics |
| Course Winha code: | MATLL0052 |
| Kurre acronym: | PerMk |
| Credits: | 3 |
| Type and level of course: | Basic studies |
| Year of study, semester or study period: | 1.year |
| Implementation: | Autumn semester, 1.period, 2.period |
| Semester: | 0708 |
| Language of tuition: | Suomi |
| Teacher: | Raisa Vartia |
| Final assessment: | Grading scale (0-5) |
Descriptions
Prerequisites
Course contents (core content level)
Integers, basic algebraic operations and their rules. Fractional numbers and calculations with fractional numbers. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions, rectangular triangle, and trigonometric equations in solving angles of triangles. Exponential and logarithmic functions and basic related equations.
Course contents (additional)
Solving more complicated equations. Complete solutions of simple trigonometric equations. General principles of solving exponential and logarithmic equations.
Core content level learning outcomes (knowledge and understanding)
The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student can visualize also mentally the main features of the most important elementary functions.
Core content level learning outcomes (skills)
The student is able to perform calculations with integers, fractional and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials. The student can plot elementary functions. The student can solve angles of a given triangle.
Recommended reading
Henttonen, Peltomäki, Uusitalo: Tekniikan matematiikka 1, Edita or
Alestalo, Rantakaulio, Soinne; Tekninen matematiikka 1, Tammertekniikka
Additional printouts
Teaching and learning strategies
Teaching methods and student workload
Lectures
Exam
Individual research, reading
Assessment weighting and grading
Related competences of the degree programme
Theoretical basis and mathematical and science skills