pre-REU 2021 - Participant information page

Important Links

Gather.Town (password sent via email). Note: the whole program will occur in this room!
CoCalc (for afternoon CoCalc/Programming sessions).

Direct whiteboard links (for access, e.g., from a tablet):
Main Classroom
Group 1
Group 2
Group 3
Group 4
Group 5
Group 6
Group 7

Materials

At the start of each week, we will post an updated program packet containing the materials and problems for the week here. If you have access to a printer, it may be helpful to print it out!

Packet (PDF) · Week 4 will have individual worksheets.
Abstract Vector Spaces worksheet (Tuesday 6/22).
Basel Problem worksheet (Thursday 6/24).
A helpful mathematical notation "cheat sheet."

We will update the list below with the exercises we "cover" from the packet each morning. Note that some exercises we may not have finished! The exercises listed as follow-ups may only have been given to some groups, depending on their strategy for the original problem, and some of them might not have been given to anyone. There are plenty of exercises in the packet that we will never discuss at all!

Week 4:

Tuesday 6/22

PROBLEM NUMBERS ARE IN THE ABSTRACT VECTOR SPACES WORKSHEET.

Eigenvalues and eigenvectors of d/dx
2.1.2
Some more afternoon options: 2.2.* (Eventown Theorem), 2.1.3, 2.1.8, 2.1.10

Monday 6/21

Week Three - 2.4.1-C
Computing matrix for the Fiboncacci transform in three different bases
For the afternoon if you finish the other ones: Week Three - 2.3.15 (try k=2 first)

Week 3:

Friday 6/18

Discussed 2.3.12, 2.3.13
What are the eigenvalues of an upper triangular matrix? (not in packet).
2.4.1-A
2.4.1-C

Thursday 6/17

Exercise 2.3.4
Week Two - Exercise 2.4.6 A (plus same for column operations via right multiplication, plus compute the determinants of the matrices and compare to the row reduction algorithm for computing determinants)
Suggested for afternoon: 2.3.12, 2.3.13

Wednesday 6/16

Exercise 2.3.1
Follow-ups: 2.3.3
Exercise 2.3.6 (ignore the hint! it's not very helpful.)
Exercise 2.3.5

Tuesday 6/15

Exercises 2.2.1-3
Exercises 2.2.4

Monday 6/14

Exercise 2.1.1
Follow-ups: Exercises 2.1.2 and 2.1.3

Week 2:

Friday 6/11

Exercises 2.6.1-2.6.3
Exercises 2.6.4-2.6.5

Thursday 6/10

Exercise 2.4.4
Exercises 2.5.1-2.5.4
Follow-ups: all exercises in 2.4

Wednesday 6/09

Exercises 2.4.1, 2.4.2, 2.4.7
Exercises 2.4.3, 2.4.4

Tuesday 6/08

Exercise 2.3.1
Exercises 2.3.2-3 (introduced briefly but not worked on!)

Monday 6/07

Exercises 2.1.1-4
Exercises 2.2.1-4

Week 1:

Friday 6/04:

Exercise 2.3.7
Follow-ups: 2.3.8
Exercise 2.3.9

Thursday 6/03:

Exercises 2.3.1-3
Follow-ups: 2.3.4-6
Exercise 2.3.7

Wednesday 6/02:

Exercises 2.1.5 B, 2.1.6, 2.1.7
Exercises 2.2.1, 2.2.5, 2.2.8
Follow-ups: 2.2.6, 2.2.7

Tuesday 6/01:

Exercise 2.1.1
Follow-ups: 2.1.2, 2.1.3, 2.1.4
Exercise 2.1.5-A.

Contact

Sean Howe (program director) - sean DOT howe AT utah DOT edu.

Weekly Schedules

Week four (June 21 - June 25)

Times in mountain time.
All events take place in the room on gather.town except for the colloquium.
Carlos will distribute a Zoom link for the colloquium.

	Monday 6/21	Tuesday 6/22	Wednesday 6/23	Thursday 6/24	Friday 6/25
10:00am - 12:30pm	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)	TBA
12:30pm - 1:30pm	Lunch break	Lunch break	Lunch break	Lunch break	Lunch break
1:30pm - 3:20pm	Projects (1 or 2 ten minute breaks)	Projects (1 or 2 ten minute breaks)	Projects (1 or 2 ten minute breaks)	Projects (1 or 2 ten minute breaks)	TBA
3:20pm - 3:25pm	Five minute break	Five minute break	Five minute break	Five minute break	TBA
3:25pm - 3:55pm	Social/Games	Social/Games	Social/Games	Social/Games	TBA
3:55pm - 4:00pm	Five minute break	Five minute break	Five minute break	Five minute break	TBA
4:00pm - 5:00pm	Free work/ TA check-ins	Free work/ TA check-ins	Colloquium Allechar Serrano López	Free work/ TA check-ins	TBA

Week three (June 14 - June 18)

Times in mountain time.
All events take place in the room on gather.town except for the colloquium and panels.
Carlos will distribute Zoom links for the colloquium and panel.

	Monday 6/14	Tuesday 6/15	Wednesday 6/16	Thursday 6/17	Friday 6/18
10:00am - 12:30pm	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)	Problem solving (two ten minute breaks)
12:30pm - 1:30pm	Lunch break	Lunch break	Lunch break	Lunch break	Lunch break
1:30pm - 3:20pm	Projects (one ten minute break)	Projects (one ten minute break)	Projects (one ten minute break)	Projects (one ten minute break)	Projects (one ten minute break)
3:20pm - 3:25pm	Five minute break	Five minute break	Five minute break	Five minute break	Five minute break
3:25pm - 3:55pm	Social/Games	Social/Games	Social/Games	Social/Games	Social/Games
3:55pm - 4:00pm	Five minute break	Five minute break	Five minute break	Five minute break	Five minute break
4:00pm - 5:00pm	Free work/ TA check-ins	Free work/ TA check-ins	Colloquium Evelyn Lamb	Free work/ TA check-ins	Panel Undergraduate Research Opportunities slides

Week two (June 7 - June 11)

Times in mountain time. All events take place in the room on gather.town.

	Monday 6/07	Tuesday 6/08	Wednesday 6/09	Thursday 6/10	Friday 6/11
10:00am - 12:30pm	Problem solving	Problem solving	Problem solving	Problem solving	Problem solving
12:30pm - 1:30pm	Lunch break	Lunch break	Lunch break	Lunch break	Lunch break
1:30pm - 2:50pm	CoCalc/ Programming	CoCalc/ Programming	CoCalc/ Programming	CoCalc/ Programming	CoCalc/ Programming
2:50pm - 3:00pm	Break	Break	Break	Break	Break
3:00pm - 3:30pm	Social/Games	Social/Games	Social/Games	Social/Games	Social/Games
3:30pm - 4:00pm	Free work	Free work	Free work	Free work	Free work
4:00pm - 5:00pm	Free work/ TA check-ins	Free work/ TA check-ins	Colloquium Osama Khalil	Free work/ TA check-ins	Panel Careers in mathematics

Week one (June 1 - June 4)

Times in mountain time. All events take place in the room on gather.town.

	Monday 5/31	Tuesday 6/01	Wednesday 6/02	Thursday 6/03	Friday 6/04
10:00am - 12:30pm	Memorial	Introductions / Problem solving	Problem solving	Problem solving	Problem solving
12:30pm - 1:30pm	Day	Lunch break	Lunch break	Lunch break	Lunch break
1:30pm - 2:50pm	--	CoCalc/ Programming	CoCalc/ Programming	CoCalc/ Programming	CoCalc/ Programming
2:50pm - 3:00pm	--	Break	Break	Break	Break
3:00pm - 3:30pm	--	Social/Games	Social/Games	Social/Games	Social/Games
3:30pm - 4:00pm	--	Free work	Free work	Free work	Free work
4:00pm - 5:00pm	--	Free work/ TA check-ins	Colloquium Jon Chaika	Free work/ TA check-ins	Panel Pathways through mathematics slides

Participant Expectations

The program takes place 10:00am-5:00pm mountain time on weekdays June 1-25.
There will be regular breaks, including a one-hour lunch break.
Except for these breaks, students should be present in the room on Gather.Town and engaged in progam tasks during program hours.
You are encouraged, but not required, to turn your video on during small group work.

Funded by the National Science Foundation, award no. 1840190, and the University of Utah math department.

pre-REU 2021 - Participant information page

Important Links

Materials

Week 4:

Tuesday 6/22

Monday 6/21

Week 3:

Friday 6/18

Thursday 6/17

Wednesday 6/16

Tuesday 6/15

Monday 6/14

Week 2:

Friday 6/11

Thursday 6/10

Wednesday 6/09

Tuesday 6/08

Monday 6/07

Week 1:

Friday 6/04:

Thursday 6/03:

Wednesday 6/02:

Tuesday 6/01:

Contact

Weekly Schedules

Week four (June 21 - June 25)

Times in mountain time. All events take place in the room on gather.town except for the colloquium. Carlos will distribute a Zoom link for the colloquium.

Week three (June 14 - June 18)

Times in mountain time. All events take place in the room on gather.town except for the colloquium and panels. Carlos will distribute Zoom links for the colloquium and panel.

Week two (June 7 - June 11)

Times in mountain time. All events take place in the room on gather.town.

Week one (June 1 - June 4)

Times in mountain time. All events take place in the room on gather.town.

Participant Expectations

Times in mountain time.
All events take place in the room on gather.town except for the colloquium.
Carlos will distribute a Zoom link for the colloquium.

Times in mountain time.
All events take place in the room on gather.town except for the colloquium and panels.
Carlos will distribute Zoom links for the colloquium and panel.