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ALGEBRA I

Winter Semester 2024/2025

EXAM: 1st TRY



Date 1 9. 2 . 2 0 2 5 Duration 90 Minutes
Time 1 0 : 0 0 - 1 2 : 0 0 Place Takustrasse 9, Großer Hörsaal.
ID Check starting   0 9 : 4 5. Exam Review (Einsicht) TBD
Participation Everybody is allowed to take the exam, independently of their active and regular participation in the course.
Registration On Whiteboard until Tuesday, 18. February 2025 (23:59), at

Whiteboard/Algebra 1/Exam Registration

Registration is neither binding, nor compulsory. It helps me print the right amount of exam material.
R E S U L T S
Solutions

P R A C T I C A L   A S P E C T S
Bring
  • ID and Student Card (Yours).
  • At least one pen (not a pencil).
    • DON'T bring
  • Your own Paper. You will be given an exam booklet and scratch paper.
  • Cheat Sheet, Books, Lecture notes
  • Electronic calculators (All electronic devices must be switched of and stored away during the exam. Failure in this regard is automatically considered a cheating attempt.)
    		•

    C O N T E N T  
    Problems There are 3 problems, with several points each.
    Points 20 points/problem. Maximal score: 60 Punkte.
       The map \(Grade:[0,60]\rightarrow \{5.0,\dots, 1.0\}\) is given by:
    Points ...23 24... 27... 30... 33... 36... 39... 42... 44... 46... 48...
    Grade  5.0 4.0 3.7 3.3 3.0 2.7 2.3 2.0 1.7 1.3 1.0
    Solutions The answers must always be justified. The principle of proportionality applies here - part of the competency being tested is being able to recognize the crucial point of a task and thus the essential justifications.
    NOT ALLOWED: any form of cheat sheet. No books, no lecture notes, no written sheets of any kind, no electronic devices and no form of contact to other people during the exam are allowed.

    TIME TABLE


    MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
    08-10
    10-12 A3 / 201
    from 11:00
    12-14 A3 / HS 001
    		A14 / 0.1.01 HS B
    14-16 A3 / HS 001
    16-18

    Lecture Exercise Session Office hours


    OFFICE HOURS Mondays 11:00 - 12:00 Also online by appointment: Webex Link
    WRITTEN EXAM 1 19.2.2025 10:00 - 12:00 Room: Gr.HS/Takustr. 9
    WRITTEN EXAM 2 31.03.2025 10:00 -12:00 Room: TBD
    You may sit both exams.

    NEWS

    Updated on:


    [11.2] Here is a copy of the problems from the 2020 first exam in Algebra 1:

    2020 Exam Problems

    Please be aware, that the contents of the course then was not identical to the 2024/25 course.
    [16.12] Please take 2 minitues to fill in the teaching evaluation for the lecture : https://lehrevaluation.fu-berlin.de/productive/de/sl/wuifn54QDYQW

    [21.11] Problem 5 on Sheet 6 has been updated with some clarifications. You may need to reaload the page to see them.
    [22.10] Studierende machen Schule: You can find information about practical teaching experience in Berlin schools here in English und hier auf Deutsch.
    [9.10] NEW TIME SLOT FOR TUTORIALS: Mondays, 14:15 to 15:45. The room (A3/HS001) is yet to be confirmed.
    [9.10] The first lecture will be on Monday, October 14th 2024, at 12:15 in Arnimallee 3, HS 001.

    The first tutorial will be on Monday, October 14th 2024, at 14:15 in Arnimallee 3, HS 001.
    [17.4] The language of the course will is English.

    MATERIAL
    Lehrplan

    updated on 15.1.'25
    Homework


    Stats





    BIBLIOGRAPHY


    1. Michael F. Atiyah, Ian G. Macdonald, Introduction to Commutative Algebra, Addison-Wesley Publishing Company, 1969.

    2. Michael Artin, Algebra, Pearson, 1991.

    3. James Munkres, Topology, 2ed., (Mainly Chapter 2) Prentice Hall, US, 2000.

    4. The Stacks Project Authors, Stacks Project, https://stacks.math.columbia.edu, 2019.

    5. David Eisenbud, Commutative Algebra: with a View toward Algebraic Geometry, Springer Science & Business Media, 1995.

    6. Klaus Hulek, Elementary Algebraic Geometry, American Mathematical Society, Student Mathematical Library, Vol. 20, 2003.

    7. Allen Altman, Steven Kleiman, A Term of Commutative Algebra, Worldwide Center of Mathematics,
      https://www.mi.fu-berlin.de/en/math/groups/arithmetic_geometry/teaching/exercises/Altman_-Kleiman---A-term-of-commutative-algebra-_2017_.pdf.

    GENERAL INFORMATION


    Contact

    For lectures: alexandru . constantinescu at fu-berlin . de
    For tutorials: jr1461fu @ zedat . fu-berlin . de

    Registration

    Homework

    Participation and Exam