Mathematical Methods for Land SurveyingLaajuus (3 ECTS)
Course unit code: TP00AA80
General information
- Credits
- 3 ECTS
Objective
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.
The student is able to solve systems of linear equations with three equations. The student is able to solve common triangle and knows the algebra of vectors in 2-space.
Content
Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. 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. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.
Basic algebraic operations and their rules. Solving basic equations and systems of linear equations with three equations. Solving of common triangle and apply this method to find plane coordinates. Vectors in 2-space and basic algebra (addition, subtraction, dot product, angle). Apply vector method to find plane coordinates.
Assessment criteria, satisfactory (1)
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.
The student is able to solve systems of linear equations with three equations. The student is able to solve common triangle and knows the algebra of vectors in 2-space.