Manifolds (Differentieerbare varieteiten) 2017 (blok 1)



September 20: second homework (for September 27).
September 18, after the class: I added one extra-exercise at the end of Section 1 (Chapter III).
New: new lecture notes added on September 18, before the class (see below).

New: exercises and homework added on September 12 (see below)!



This is the web-site for the course "Differentieerbare varieteiten" given in blok 1, Fall 2017. Here you will find all the practical informations about the course, changes that take place during the year, lecture notes, etc.



When, where, etc:

THE LECTURES:

------ Mondays: 9:00 - 10:45, HFG, room 611.

------ Tuesdays: 17:15- 19:00, HFG, room 611.

LECTURER: Marius Crainic.

TEACHING ASSISTANT: Davide Alboresi (D.AlboresiATuu.nl).

THE WERKCOLLEGES:

------ Mondays: 11.00 - 12:45, BBG, room 023.

------ Wednesdays: 911.00 - 12:45, UNNIK, room 209.

HOMEWORKS:

There will be homeworks during the course. Probably around 4-5. They will count for the final mark.

Note: please do not send your homework by email, unless you aggree with the TA. In any case: please never send the homework to me (the lecturer) by email!!!


Marks: there will be:

- hand in exercises. You will receivce the exercise at the end of the class on Tuesday. You have to hand it in one the next Wednsday, when you arrive at the werkcollege. The everage of the marks for all the homeworks will give one mark HW (maximum 10).

- final exam, for which you will receive a mark E (maximum 10).

Note: you are allowed to bring with you, and use during the exam, three sheets of A4 papers (= six pages) containing definitions, theorems, etc from the course.

Coordinates of the exam: The exam will take place on Wednesday, November 8th, between 09.00 - 12.00, in RUPPERT Blauw. The retake will take place on Wednesday, January 3rd 2018, between 09.00 - 12.00, in the math building (HFG), room 611B.

Final mark: The final mark will be obtained by combining E (exam mark) and HW (homework mark), by the formula:

max{(7 E+ 3 HW)/10, (17E+ 3H)/20}


Lecture notes: Please be aware that the lecture notes may still contain typos. So, if there is something that you do not understand, please ask it at the werkcollege; also, if you find typos, please communicate them to the teaching assistants. This will be of great help to improve the lecture notes and make them into a regular "dictaat" that can be printed for students.

→ The pages 5-18 of the lecture notes: Reminder on Topology. (For more details you can also consult the full lecture notes on Topology).

→ The pages 19-32 of the lecture notes: Reminder on Analysis.

The pages 27- 51 of the lecture notes: Manifolds (pages 35-51) plus an improvement of pages 27-32 from the reminder on Analysis (hence, from the last set of lecture notes, throw away page 27-32 and continue with/add this set of lecture notes).


The schedule week by week (here we will 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):

WEEK 37/Lecture 1 (September 11): Reminder on Topology.

Exercises for the werkcollege: read the lecture notes (see above) and try to redo the exam from the last year's course on Topology.

WEEK 37/Lecture 2 (September 12): Reminder on Analysis.

Exercises for the werkcollege + the homework: in this file.

Homework:

WEEK 38/Lecture 3 (September 18): Ended the reminder on Analysis.

Exercises for the werkcollege:

WEEK 38/Lecture 4 (September 19): Manifolds and smooth maps; R^n, S^n.

Exercises for the werkcollege:

Homework: here.

WEEK 39/Lecture 5 (September 25):

Exercises for the werkcollege:

WEEK 39/Lecture 6 (September 26):

Exercises for the werkcollege:

Homework:

WEEK 40/Lecture 7 (October 2):

Exercises for the werkcollege:

WEEK 40/Lecture 8 (October 3):

Exercises for the werkcollege:

Homework:

WEEK 41/Lecture 9 (October 9):

Exercises for the werkcollege:

WEEK 41/Lecture 10 (October 10):

Exercises for the werkcollege:

Homework:

WEEK 42/Lecture 11 (October 16):

Exercises for the werkcollege:

WEEK 42/Lecture 12 (October 17):

Exercises for the werkcollege:

Homework:

WEEK 43/Lecture 13 (October 23):

Exercises for the werkcollege:

WEEK 43/Lecture 14 (October 24):

Exercises for the werkcollege:

Homework:

WEEK 44/Lecture 15 (October 30):

Exercises for the werkcollege:

WEEK 44/Lecture 16 (October 31):

Exercises for the werkcollege:

Homework:

WEEK 46: EXAM (November 7): 09.00 - 12.00,Gebouw: RUPPERT, Zaal: Blauw.

WEEK 1/2018: RETAKE EXAM (January 3rd), 09.00 - 12.00, Gebouw: HFG, Zaal: 611B.

IMPORTANT: PLEASE DO NOT RELY 100% ON THIS WEB-PAGE. MORE PRECISELY, ALTHOUGH I DO TRY TO KEEP IT UPDATED (E.G. BY SPECIFYING WHICH IS THE HOMEWORK), SOMETIMES I AM NOT ABLE TO DO IT. IN SUCH CASES, PLEASE CONTACT YOUR COLLEAGUES THAT WERE PRESENT AT THE LECTURE OR WERKCOLLEGE.


Enjoy the sphere (and not only).