After successful completion of the course, students are able to...   

• to use logical connectives and quantifiers correctly,
• to determine the convergence and possibly the limit of a sequence of reals, in particular of a real series, or of a power series,
• to determine continuity and differentiability of real functions in one variable, and to determine the derivative of such a function
• to develop real functions into their Taylor series and to understand the relationship between these objects,
• to correctly interpret the integral of a real function, and to determine it in simple cases.

Real and complex numbers, elementary functions, power series, differential and integral calculus of functions of one real variable.

Exercises

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Presentation of solutions and weekly short tests, and two additional more detailed tests.