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Mathematics for the Natural Sciences I is given for students on programmes in chemistry. Along with Mathematics for the Natural Sciences II it corresponds to the course Mathematics I.

Course content

The course covers computation with real and complex numbers, vectors, bases, coordinates, scalar product, vector product, trigonometric functions, exponential and logarithmic functions, inverses and arcus functions, polynomials: division and the factor theorem, rational functions and partial fractions, limits of functions, derivatives: rules of computation and applications, tangent and normal, basic drawing of plots and curves inthe plane, derivatives in multiple variables, gradient and directional derivative, max and min problems, linear systems of equations and Gaussian elimination, matrices, matrix inverse, determinants, linear dependence, change of basis, eigenvalues and eigenvectors, primitive functions, area and the fundamental theorem of calculus, applications on volume, arc length, line integrals, first- and second-order differential equations.