Math and Science Basics 2 (5 ECTS)

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

Functions and vectors
The student
- knows the meaning of the value of a function at a certain point as well as the meaning of the zero point of a function
- is able to form a graph of a simple function with the expression given
- knows what the graph of a linear polynomial function is like and how it changes as the coefficient values change
- knows what the graph of a quadratic polynomial function is like and how it changes as coefficient values change
- can interpret the form of graphs
- knows the meaning of direct and inverse proportionality
- recognises power functions and exponential functions
- knows the definition of a logarithm
- can use trigonometric functions in plane geometry calculations
- recognises the graphs of trigonometric functions and knows the periodicity of trigonometric functions
- is able to use vectors to represent quantities with direction.
Fluids and Thermal Physics
On completion of the course the student can:
- perform simple unit conversions
- apply the definitions of density and pressure
- apply the model equation of the hydraulic press
- find the fluid pressure at a given depth
- find the buoyancy exerted on a body
- find the volume flow rate and the mass flow rate of a fluid, and model simple fluid flows
- work with common temperature scales
- find the relative changes of lengths and volumes of substances due to temperature variations
- work with the ideal gas equation
- compare the heat capacities of simple systems
- estimate the energy related to changes of state.

Assessment criteria, good (3)

Functions and vectors
In addition to the requirements above, the student
- is able to employ functions and equations in describing simple phenomena
- is able to solve trigonometric functions, logarithms and other equations with common functions
- is able to solve problems with vector quantities.
Fluids and Thermal physics
The student can:
- perform unit conversions
- apply the definitions of density and pressure
- describe the effects of pressure on fluids
- present the principle of the hydraulic press
- apply the depth dependence of fluid pressure
- apply the Archimedes principle in the case of a static equilibrium
- model simple fluid flow
- work with temperature scales
- model the simultaneous thermal expansion of several materials
- model the changes of state of a gas
- model processes including heat storage and changes of state.

Assessment criteria, excellent (5)

Functions and vectors
In addition to the requirements above, the student
- is able to employ functions and equations diversely in describing various types of phenomena
- is able to solve problems which require synthesizing the knowledge acquired during the course.
Fluids and Thermal physics
The student can:
- perform unit conversions
- apply the definitions of density and pressure
- describe the effects of pressure in fluids and present the basics of hydraulics
- present the principle of the hydraulic press
- apply the depth dependence of fluid pressure
- apply the Archimedes principle to the dynamics of a body
- model fluid flow
- work with temperature scales
- model the simultaneous thermal expansion of several materials
- model in detail the changes of state of a gas
- model complicated processes including heat storage and
changes of state.

Assessment criteria, approved/failed

Functions and vectors
The student
- knows the meaning of the value of a function at a certain point as well as the meaning of the zero point of a function
- is able to form a graph of a simple function with the expression given
- knows what the graph of a linear polynomial function is like and how it changes as the coefficient values change
- knows what the graph of a quadratic polynomial function is like and how it changes as coefficient values change
- can interpret the form of graphs
- knows the meaning of direct and inverse proportionality
- recognises power functions and exponential functions
- knows the definition of a logarithm
- can use trigonometric functions in plane geometry calculations
- recognises the graphs of trigonometric functions and knows the periodicity of trigonometric functions
- is able to use vectors to represent quantities with direction.
Fluids and Thermal Physics
On completion of the course the student can:
- perform simple unit conversions
- apply the definitions of density and pressure
- apply the model equation of the hydraulic press
- find the fluid pressure at a given depth
- find the buoyancy exerted on a body
- find the volume flow rate and the mass flow rate of a fluid, and model simple fluid flows
- work with common temperature scales
- find the relative changes of lengths and volumes of substances due to temperature variations
- work with the ideal gas equation
- compare the heat capacities of simple systems
- estimate the energy related to changes of state.