Mathematics I

Course contents
Students are able to answer questions like the ones below:
Elementary math, systems of linear equations, mathematical knowledge:

What are basic mathematical rules?
How to alter equations?
How can the results be validated?
How to calculate areas, volumes, etc. of the most important mathematical entities?

What is a vector? What is the difference to other mathematical entities?
What is the difference between a dot and a vector product? How can they be calculated? What is their meaning?
What is the length of a vector?
How can vectors be projected onto each other? Why should we do this?
How can vectors be used in physics?

What is a function? How can a plot be generated from a function?
What are special functions and their properties? Where are they relevant?
(sine, cosine, tangent, exponential function, logarithm, root, parabola, hyperbola, polynomials)
How can the properties of a function be analysed?

What is meant by creating the derivative of a function? How can a function be derived graphically?
What are rules that help differentiating complex terms?
Where is differentiation used in science and technology?
What is meant by d ∆, etc? How can they be interconverted?
What are partial derivatives?