Fundamentals of Mathematics

Course contents

Elementary arithmetic rules, systems of linear equations, mathematical knowledge:
- Elementary arithmetic rules
- Rearranging equations
- Validation of a self-performed calculation (e.g. unit analysis, dimensional analysis, ...)
- Calculating areas and volumes

Vectors:
- Definition of a vector
- Scalar and vector product
- Magnitude of a vector
- Projections of vectors
- Vectors in physics

Functions:
- Definition of a function
- Graphical representation
- Special functions, their properties and areas of application (sine, cosine, tangent, exponential function, logarithm, root function, parabola, hyperbola, polynomials)
- Zeros, extreme values, points of inflection, slope and curvature of a function

Differentiation:
- Definition of a derivative
- Meaning of derivatives for specific applications
- Graphical method for derivation
- Common differentiation rules (product rule, quotient rule, chain rule, general rules for polynomials)
- Syntax of differentials and derivatives (difference d, delta, ...)

Department

Bachelor's program Environmental, Process & Energy Engineering