## Mathematics

For a good start in our Program Master of Science in Biomedical Engineering we expect all students to master a mathematical knowledge of a Swiss Matura examination (program for the normal level):

**Calculus:**

- Sets and functions.
- Monotony and inverse functions.
- Limits.
- Continuity.
- Exponential and logarithmic functions.
- Differentiation: definition and rules.
- Finding extrema and inflection points.
- Optimization using calculus.
- Integration: definition and rules.
- Riemann sums, antiderivatives, definite and indefinite integrals.
- Techniques of integration such as integration by parts, and the substitution rule.
- Improper integrals.

**Basic Algebra:**

- Algebraic manipulations involving fractions, powers, and roots.
- Polynomials.
- Solving linear equations and systems of linear equations.
- Solving quadratic equations.

**Trigonometry:**

- Triangles and the basic properties of angle functions such as sine, cosine, and tangent, and their inverse functions.

If you are well familiar with this material, you are well prepared for your studies.

In case you feel that you might have some gaps we would like to encourage you to repeat these topics. These general mathematical topics can be studied using textbooks or via online webinars.

We can recommend a source of free online courses called the “Khan Academy” (https://www.khanacademy.org/math). These courses Mathematics I, II, and III, Precalculus, Differential Calculus, and Integral Calculus offered there cover all these topics very well (even a bit beyond).