Time: sunday 14:00-17:00. Classroom Location in '24: Building 403, room 217.

syllabus for academic year '23-'24

Course notes: Infinitesimal analysis course notes in English

חוברת
הקורס
בּחשׁבּון
אנפיניטסימלי

Lecture notes on infinitesimal calculus in Hebrew by Luie Jennings:
part 1 (13
lectures, 81 pages),
part 2 (13
lectures, 84 pages)

**Homework for '24:**

homework set 1 for '24. Due date:
19 may '24.

homework set 2 for '24. Due date:
2 june '24.

Syllabus:

1. The utrapower construction of the hyperreals

2. Enlarging sets and functions; transfer principle

3. Relational structures, *-transform, transfer

4. Transfer, Los, and arithmetic of hyperreals

5. Sequences, series, continuity

6. Uniform continuity and convergence, derivatives

7. Internal sets, external sets, and transfer

8. Defining internal sets, saturation

9. Saturation of internal sets, topology

10. Universes, strong transitivity

11. Superstructures

12. Advanced topics

**Textbook:** Goldblatt, Robert. *Lectures on the
hyperreals. An introduction to nonstandard analysis.* Graduate
Texts in Mathematics, 188. Springer-Verlag, New York, 1998.

Old exams: exam moed A '22 - exam moed B '22 -

Old Homework for '22:
homework set 1 for '22,
homework set 2 for '22,
homework set 3 for '22,
homework set 4 for '22,
homework set 5 for '22.

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