Instructor: | Marcel Oliver |
Email: | m.oliver@iu-bremen.de |
Phone: | 200-3212 |
Office hours: | Tu, We 11:15 in Research I, 107 |
TA/grader: | Remus Radu |
Email: | r.radu@iu-bremen.de |
Office hours: | Wednesdays, 14:15, East Hall 3 |
Lectures: | TuTh 9:45-11:00 in East Hall 4 |
Homework: | 20% |
Midterm I: | 20% |
Midterm II: | 20% |
Final Exam: | 40% |
Cutoff score: | 95% | 90% | 85% | 80% | 75% | 70% | 65% | 60% | 55% | 50% | 45% | 40% |
IUB Points: | 1.0 | 1.33 | 1.67 | 2.0 | 2.33 | 2.67 | 3.0 | 3.33 | 3.67 | 4.0 | 4.33 | 4.67 |
06/09/2005: | Part I: Foundations.
Introduction; arithmetic progressions, informal introduction to
proof by induction Ivanov, Chapter 1, pp. 1-2. |
08/09/2005: | Equivalence classes, construction of
the integers from the natural numbers Ivanov, Chapter 1, pp. 3-4. |
13/09/2005: | Peano's axioms, addition on the natural numbers Ivanov, Chapter 1, pp. 5-6. |
15/09/2005: | Multiplication and well-ordering of the natural
number. Ivanov, Chapter 1, pp. 6-7. |
20/09/2005: | More on induction Ivanov, Chapter 1, pp. 8-10. |
22/09/2005: | Rational numbers |
27/09/2005: | Review for Midterm Exam |
29/09/2005: | Midterm Exam I |
04/10/2005: | Part II: Combinatorics and Inequalities.
Informal introduction Ivanov, Chapter 2, pp. 13-15. |
06/10/2005: | Binomial coefficients, binomial theorem Ivanov, Chapter 2, pp. 16-18. |
11/10/2005: | Applications: algebraic identities, Cayley's
labeled tree theorem Ivanov, Chapter 2, pp. 19-20. |
13/10/2005: | Recurrence relations, generating functions, and
formal power series;
Fibonacci sequence Ivanov, Chapter 2, pp. 21-23. |
18/10/2005: | Elementary Probability Class Handout. |
20/10/2005: |
Inequalities: Elementary examples Ivanov, Chapter 4. |
25/10/2005: | Cauchy inequality and the
geometric-arithmetic-mean inequality Ivanov, Chapter 4. |
27/10/2005: | Inequalities Ivanov, Chapter 4. |
01/11/2005: | Review for Midterm Exam |
03/11/2005: | Midterm Exam II |
08/11/2005: | Stirling's formula Ivanov, Chapter 2, pp. 29-30. |
10/11/2005: | Part III: Modeling and Optimization. Introduction to Linear Programming |
15/11/2005: | Linear Programming (continued) |
17/11/2005: | Linear Programming (continued) |
22/11/2005: | Linear Programming (continued) |
24/11/2005: | Microscopic vs. macroscopic dynamics: the Kac ring |
29/11/2005: | Loschmidt's paradox and Zermelo's paradox |
01/12/2005: | What is entropy? |
06/12/2005: | Review for final exam |
16/12/2005: | Final Exam, 17:00-19:00 in the Research II Lecture Hall |