• With that in hand, you always have the possibility to consider a job as a math teacher, which may be a lot of fun (anything but boring, making a really impact, with a lot of room for new ideas and for doing things better and differently). Furthermore, math teachers are always in demand, hence finding a nice job (even just to try it out for a year) should be relatively easy.
• It would be great if some of the high school teachers (even if just doing it temporarily) would know what a topological space is. And what a group is etc etc!
• And, even if already know that you will never want to become a teacher (...), you certainly gain new skills that are appreciated on the job market (e.g., in presenting).

UPDATES:

• Tuesdays: 11:00-12:45. (RUPPERT - PAARS)
• Thursdays: 17:15-19:00 (RUPPERT - PAARS except for December 5th, when it is in KBG-Pangea).

LECTURER: Marius Crainic.

THE WERKCOLLEGES :

• Tuesdays: 09.00 - 10.45; at various locations, depending on the date and on the group (please see below and/or consult your mytimetable).
• Thursdays: 15:15 - 17:00; at various locations, depending on the date and on the group (please see below and/or consult your mytimetable).

TEACHING ASSISTANTS:

WERKCOLLEGE ACTIVITIES:

• Hand in exercises- see above. The average of the marks for all the homeworks will give one mark HW (maximum 10).
• Bonus exercises: there may be a couple of Bonus exercises, which are considerably harder exercise for which, if solved correctly, you can receive a number of points that will be added to your homework marks (in each case we announce it more precisely how it counts).
• Final exam: there will be a "final exam", that will give you one mark, E (maximum 10).
• Minimal requirements: at least 5 for the average of the Homeworks, at least 5 for the Final Exam and the usual requirement that the final mark (see the formula below) is at least 6. Please be aware that, for the requirement of "at least 5", there will be no automatic rounding up for marks below 5 (e.g. 4.95 will not be a passing mark). On the other hand, in principle, for marks above 5, the rounding will go to the closest integer or integer.5. For instance, 6.72 is rounded to 6.5, while 6.77 to 7. In some limit cases, the presence at the exercise classes will be decisive in how the rounding is done.
• Final mark: is computed using the average of the homework marks HW (and we add the bonus points there as well), the mark E for the final exam , according to the formula min{10, max{(7 E+ 3 HW)/10, (17E+ 3H)/20}}?)
• Retake: the same rules apply for the retake.

THE SCHEDULE WEEK BY WEEK (I will try to add, after each lecture, a description of what was discussed in the lectures + the exercises from the lecture notes that you are supposed to do during the werkcollege):

Blackboard photos of Lecture 1.

Werkcollege rooms for this day:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

For todays's werkcollege: read pages 3-4 (basic definitions on metric spaces, to refresh your memory), Exercise 1.4, Exercise 1.7, Exercise 1.8, Exercise 1.11, then read/understand the explicit formulas for the torus (1.6.1) and the Moebius band (1.5.1) and then do 1.15 and 1.16.

Coming next:

• The plan for the next lecture (November 14) is: to give the precise definition of topological spaces and look at first examples.
• For the next werkcollege (November 14) the exercises are: finish what is left over from the previous time, then move on to 1.9, 1.14, 1.18 (and maybe 1.19 as well), then 1.48, 1.49, 1.47.
• The rooms for the next werkcollege (November 14) are:

• Group 1: KBG - 208
• Group 2: BBG - 165
• Group 3: DALTON 500 - 2.08
• Group 4: BBG - 205

Blackboard photos of Lecture 2.

Here is the Homework 1 (compulsory, to be handed in by Nov 21 before the werkcollege) as well as a Bonus-to-homework 1 (now with the correct link)(not compulsory, to be handed in by Nov 24 in the evening). You can upload your solutions via the blackboard (we will create the necessary blackboard environments before the deadline).

Coming next:

• The plan for the next lecture (November 19) is: continuity and convergence.
• The exercises for the next werkcollege (November 19) are: 10.1, 10.3, 10.6, 2.12, 2.16, 2.14, 10.15, 10.8 (try to do as many as you can, make sure you do at least 10.3, 10.6, 2.16 and 10.8 or 10.15)
• The rooms for the next werkcollege (November 19) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 3. But please be ware that the order for reading the blackboards is not linear. You see on some pages some blue numbers: those say in which order to read what: first blue 1, then blue 2 (on another blackboard), then jump to blue 3, etc etc.

Coming next:

• The plan for the next lecture (November 21) is: TBA
• The exercises for the next werkcollege (November 21) are: 10.17, 10.20, 10.16 where I recall that for subsets of $\mathbb{R}^n$, of we do not specify what the topology we use, it means we use the Euclidean topology (hint for this: do not forget Example 2.20), 10.34, 10.35, 10.21, 10.36, 10.66 (points b and c), 10.23. Please keep in mind: for metric spaces $(X, d)$ we have seen that continuity and convergence in the sense you learned in analysis is equivalence to the new notions that we introduced, applied to the topology $\mathcal{T}_d$ associated to $d$. In particular, when looking at subsets of Euclidean spaces ($X\subset R^n$) endowed with the induced (= Euclidean) topology, you can just use what you know about continuity and convergence from Analysis. For instance, polynomial or other elementary (standard) functions from $R^n$ to $\R$ are continuous..
• The rooms for the next werkcollege (November 21) are:

• Group 1: KBG - 224
• Group 2: BBG - 165
• Group 3: DDW - 1.32
• Group 4: BBG - 205

Blackboard photos of Lecture 4 (not available yet).

Homework: here is the Homework 2 (not available yet).

Coming next:

• The plan for the next lecture (November 26) is: TBA
• The exercises for the next werkcollege (November 26) are: TBA
• The rooms for the next werkcollege (November 26) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 5 (not available yet).

Coming next:

• The plan for the next lecture (November 28) is: TBA.
• The exercises for the next werkcollege (November 28) are: TBA.
• The rooms for the next werkcollege (November 28) are:

• Group 1: KBG - 208
• Group 2: KBG - 224
• Group 3: DALTON 500 - 3.09
• Group 4: BBG - 205

Blackboard photos of Lecture 6 (not available yet).

Homework: Homework 3 (not available yet).

Coming next:

• The plan for the next lecture (December 3) is: TBA.
• The exercises for the next werkcollege (December 3) are: TBA.

• The rooms for the next werkcollege (December 3) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 7 (not available yet).

Coming next:

• The plan for the next lecture (December 5) is: TBA.
• The exercises for the next werkcollege (December 5) are: TBA.
• The rooms for the next werkcollege (December 5) are:

• Group 1: KBG - 224
• Group 2: BBG - 165
• Group 3: BBG - 319
• Group 4: BBG - 322

Blackboard photos of Lecture 8 (not available yet)..

Homework: Homework 4 (not available yet).

Coming next:

• The plan for the next lecture (December 10) is: TBA.
• The exercises for the next werkcollege (December 12) are: TBA.
• The rooms for the next werkcollege (December 10) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 9 (not available yet).

Coming next:

• The plan for the next lecture (December 12) is: TBA
• The exercises for the next werkcollege (December 12) are: TBA.
• The rooms for the next werkcollege (December 12) are:

• Group 1: KBG - 208
• Group 2: KBG - 224
• Group 3: DDW - 1.32
• Group 4: BBG - 165

Blackboard photos of Lecture 10 (not available yet).

Homework 5 (not available yet).

Coming next:

• The plan for the next lecture (December 17) is: TBA
• The exercises for the next werkcollege (December 17) are: TBA.
• The rooms for the next werkcollege (December 17) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 11 (not available yet).

Coming next:

• The plan for the next lecture (December 19) is: TBA
• The exercises for the next werkcollege (December 19) are: TBA.
• The rooms for the next werkcollege (December 19) are:

• Group 1: KBG - 208
• Group 2: KBG - 224
• Group 3: MIN - 0.14
• Group 4: BBG - 165

Blackboard photos of Lecture 12 (not available yet).

Homework (not available yet).

Coming next:

• The plan for the next lecture (January 7) is: TBA
• The exercises for the next werkcollege (January 7) are: TBA.
• The rooms for the next werkcollege (January 7) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 13 (not available yet).

Coming next:

• The plan for the next lecture (January 9) is: TBA.
• The exercises for the next werkcollege (January 9) are:
• The rooms for the next werkcollege (January 9) are:

• Group 1: KBG - 224
• Group 2: BBG - 165
• Group 3: MIN - 0.14
• Group 4: BBG - 205

Blackboard photos of Lecture 14 (not available yet).

Homework (not available yet).

Coming next:

• The plan for the next lecture (January 14) is: TBA
• The exercises for the next werkcollege (January 14) are: TBA.
• The rooms for the next werkcollege (January 14) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 15 (not available yet).

Coming next:

• The plan for the next lecture (January 16) is: TBA.
• The exercises for the next werkcollege (January 16) are: TBA.
• The rooms for the next werkcollege (January 16) are:

• Group 1: KBG - 208
• Group 2: KBG - 224
• Group 3: DDW - 1.36
• Group 4: BBG - 165

Blackboard photos of Lecture 16 (not available yet).

Homework (not available yet).

Coming next:

• The plan for the next lecture (January 21) is: TBA.
• The exercises for the next werkcollege (January 21) are: TBA/.
• The rooms for the next werkcollege (January 21) are:

• Group 1: BBG - 017
• Group 2: BBG - 103
• Group 3: MIN - 0.11
• Group 4: DDW - 0.42

Blackboard photos of Lecture 17 (not available yet).

Coming next:

• The plan for the next lecture (January 23) is: TBA
• The exercises for the next werkcollege (January 23) are: I think you have quite a few left from last weeks (including the page with exercises to prepare for the exam).
• The rooms for the next werkcollege (January 23) are:

• Group 1: KBG - 208
• Group 2: KBG - 224
• Group 3: BBG - 115
• Group 4: BBG - 165

Blackboard photos of Lecture 18 (not available yet).

IMPORTANT: PLEASE DO NOT RELY 100% ON THIS WEB-PAGE. I.E., IF YOU MISS A CLASS, PLEASE KEEP IN TOUCH WITH YOUR COLLEAGUES THAT WERE PRESENT, JUST TO MAKE SURE YOU STAY INFORMED.