Maths and Science Basics 1 (5 ECTS)

Learning outcomes

MATHEMATICS:
On completion of the course the student can
• use a calculator
• compute the value of a given physical expression
• solve simple equations and pairs of equations
• use vectors with kinematics and forces
• use trigonometric functions when considering the components of velocity, acceleration and force.

PHYSICS:
On completion of the course the student can
• perform unit conversions
• define the basic quantities of kinematics
• describe the motion of a body computationally and graphically
• explain the concept of force and describe different types of forces
• draw the force diagram of a body
• present Newton’s laws
• model the dynamics of a body.

Content

MATHEMATICS:
• the order of operations
• expressions, the value of an expression
• polynomials, power and root expressions
• direct and inverse proportionality
• the concept of vector
• basics of trigonometry.

PHYSICS:
• physical equations and unit conversions
• kinematics: position, displacement, velocity and acceleration
• dynamics: the concept of force, types of forces, force diagram, Newton’s laws.

Prerequisites

None.

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

MATHEMATICS:
The student can
• compute the value of a given physical expression
• simplify elementary algebraic expressions.

PHYSICS:
The student can
• work with simple physical equations
• perform basic unit conversions
• describe a uniformly accelerated rectilinear motion.

Assessment criteria, good (3)

MATHEMATICS:
The student can
• compute the value of a given physical expression
• simplify elementary algebraic expressions
• form and solve simple equations
• use vectors with kinematics and forces
• use trigonometric functions when considering the components of velocity, acceleration and force.

PHYSICS:
The student can
• work with simple physical equations
• perform the most important unit conversions
• describe a uniformly accelerated rectilinear motion
• draw the force diagram of a body
• model the dynamics of a body when the forces acting on it are rectilinear.

Assessment criteria, excellent (5)

MATHEMATICS:
The student can
• compute the value of a given physical expression
• simplify complex algebraic expressions
• form and solve complex equations
• use vectors with kinematics and forces
• use trigonometric functions when considering the components of velocity, acceleration and force.

PHYSICS:
The student is able to
• work with complex physical equations
• perform the most important unit conversions
• describe a uniformly accelerated rectilinear motion
• draw the force diagram of a body
• model the dynamics of a body when the forces acting on it are rectilinear.

Assessment criteria, approved/failed

MATHEMATICS:
The student can
• compute the value of a given physical expression
• simplify elementary algebraic expressions.

PHYSICS:
The student can
• work with simple physical equations
• perform basic unit conversions
• describe a uniformly accelerated rectilinear motion.