Mathematics for the Natural Sciences I
15 credits cr.
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Mathematics for the Natural Sciences I is only given in Swedish, and more information can be found on the Swedish version of this page - click the little globe in the top right corner.
Mathematics for the Natural Sciences I is mainly given for students on programmes in chemistry and physics. Along with Mathematics for the Natural Sciences II it corresponds to the course Mathematics I.
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.