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Beschreibung:
Propositional calculus, Predicate calculus, Real numbers, Mathematical Induction, Complex numbers, Sequences of real numbers, Series of real numbers, Complex exponential function, Logarithm and general exponential functions, Limits and continuity of functions, Trigonometric functions, Hyperbolic functions, Techniques of differentiation, Tangent lines and rates of change, Rules for finding derivatives, Higher order derivatives, Antiderivatives, Rules for finding antiderivatives, Definite integrals, Properties of definite Integrals, Techniques of indefinite integration, The first derivative test, The second derivative test, Convexity and Concavity, Applications of extrema, L‘Hôpital‘s Rule, Solids of revolution, Centroids of plane regions, Uniform convergence, Power series, Taylor series, Vector space, Matrices, Determinats and their properties, System of linear equations, Eigenvalues, Eigenvectors Lernziele:
The students are able to apply required mathematical methods of calculus of one real variable and of linear algebra. |
