Instructor: | Marcel Oliver |
Email: | m.oliver@jacobs-university.de |
Phone: | 200-3212 |
Office hours: | Mo 11:30, We 10:00 in Research I, 107 |
Lectures: | Mo 9:45 and Tu 14:15 in East Hall 4 |
Tutorial: | Th 19:30 in East Hall 4 |
Homework: | 20% |
Midterm Exam: | 30% |
Final Exam: | 50% |
04/02/2019: | Applications of the integral I: Taylor's formula; indefinite integrals |
05/02/2019: | Applications of the integral II: Laplace's method and Stirling's formula |
11/02/2019: | Sequences and series of functions I: uniform convergence |
12/02/2019: | Sequences and series of functions II: uniform limits of continuous functions are continuous |
18/02/2019: | Sequences and series of functions III: uniform convergence with integration and differentiation |
19/02/2019: | Sequences and series of functions IV: Equicontinuity and the Arzela-Ascoli theorem |
25/02/2019: | Sequences and series of functions V: Stone-Weierstrass theorem |
26/02/2019: | Sequences and series of functions VI: power series, radius of convergence |
04/03/2019: | Point-set topology in metric spaces I |
05/03/2019: | Point-set topology in metric spaces II |
11/03/2019: | Curves in \(R^n\) |
12/03/2019: | Midterm Review |
18/03/2019: | Midterm Exam |
19/03/2019: | Linear transformations, norm of a linear transformation, invertibility |
25/03/2019: | Total derivative |
26/03/2019: | Directional derivative, partial derivatives |
01/04/2019: | Chain rule |
02/04/2019: | Taylor's formula in \(R^n\) |
08/04/2019: | Contraction mapping theorem |
09/04/2019: | Inverse function theorem |
23/04/2019: | Implicit function theorem I |
29/04/2019: | Implicit function theorem II |
30/04/2019: | Riemann integral in \(R^n\) I: definition and elementary properties |
06/05/2019: | Riemann integral in \(R^n\) II: iterated integrals and Fubini's theorem |
07/05/2019: | Riemann integral in \(R^n\) III: change of variables and polar coordinates |
13/05/2019: | Riemann integral in \(R^n\) IV: the divergence theorem with elementary applications |
14/05/2019: | Review for final exam |
TBA: | Final Exam |