| Instructor | | Volker Runde |
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| Office hours | | MWF 10:00-10:50 by appointment, if necessary by Google meet. |
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| Course Content | |
- Sets and functions
- Induction
- Axiomatic introduction of the real numbers
- Sequences and series
- Continuity and properties of continuous functions
- Differentiation
- Riemann integral
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| Course Goals | | This course is intended for students who have taken first year non-honors calculus. The material covered is pretty much the same as in a usual first year calculus course, but from an in-depth point of view. Its goal is to develop the theoretical underpinnings of calculus. Students will learn techniques of proof, e.g., induction, ε-δ-arguments, indirect proofs, and how to conduct simple proofs themselves. |
| Textbooks | | There is no required text, but
Kenneth A. Ross, Elementary Analysis, Second Edition. Springer Verlag, 2013
is recommended. I plan to closely follow my online lecture notes.
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| Grading | | The grade will be based on (approximately) weekly homework assignments (25%), two midterms on October 5 and November 2, of wich the better one will count (25%), and a final (50%). |
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| Course materials | |
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