Math and Science Basics 2 (5 cr)

Objective

After completing the mathematics part of the course, you will understand the concept of derivative and you will be able to use derivative to find the rate of change of a function and draw function graphs. You will understand the concepts of integral function and definite integral. You will be able to use the most common integration methods and calculate definite integrals numerically. You will be able to apply integral calculus in practical situations.

After completing the physics part of the course, you will know the basics of nuclear and radiation physics, with application to radon prevention. You will be able to work safely in the laboratory and perform simple physical measurements. You will be able to identify the most important sources of measurement uncertainty, calculate the final results and assess the reliability and significance of the results.

Content

Derivative
Differential and total differential
Extrema of a function
Higher derivatives
Integral function and integration methods
Definite integral, numerical integration and the fundamental theorem of calculus
The method of small differentials

Basics of nuclear and radiation physics; radon
Safety in the laboratory
Simple measurement methods
Evaluation of measurement uncertainty and data analysis

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

You are able to describe the most essential physical and mathematical concepts and principles covered in the course and apply your knowledge in simple cases.You are able to perform simple physical measurements and carry out the data analysis.

Assessment criteria, good (3)

You are able to present accurately the physical and mathematical concepts and principles covered in the course and apply your knowledge in practice.

Assessment criteria, excellent (5)

You are able to present accurately the physical and mathematical concepts and principles covered in the course and apply your knowledge in new and demanding cases.

Assessment criteria, approved/failed

You are able to describe the most essential physical and mathematical concepts and principles covered in the course and apply your knowledge in simple cases. You are able to perform simple physical measurements and carry out the data analysis.