Fall 2011

 

Math 113H-013

Lecture: M-F 1:00 - 1:50, 116 TMCB

For the syllabus click on http://syllabus.byu.edu/view/toHfU89eujkH.html. To view your grade go to online.byu.edu then you will need to log in with your route Y id and click on the class.

There is a TA for the class her name is Lynnae Conger her email is given in the syllabus her office hours will be announced. She will run a recitation section on Tuesdays and Thursdays. The main point of these is to review concepts from lecture and help with the ideas in the assigned homework.

Click here for a list of the homework.

 

For the first writing assignment click on writing1.pdf and for the ruberic click on Ruberic.pdf.

For the second writing assignment click on writing2.pdf and for the ruberic click on Ruberic.pdf.

 

For the second writing assignment click on writing3.pdf and for the ruberic click on Ruberic.pdf.

Announcement (10/19): Due to the fact that we didn't get through all of the section on 11.2 today the homework due on 10/21 will not be due until 10/24 (problems 11.2: 27, 29, 30, 39, 43, 51, 58).

Instead the homework for 10/21 is the following: 11.2: 1, 2, 17, 18, 24, 25, 69, 72(a)

 

 

Winter 2011

 

Math 290-006

Lecture: MWF 2:00 - 2:50, 112 TMCB

For the syllabus click on syll290winter11.pdf. For more information go to the Blackboard page for the class.

Click here for a list of the homework.

LaTex

Although you may use any method to type in your homework I strongly encourage you to learn LaTex. Although it may be harder at first, the benefits pay off quickly.

Instructions for Windows users

You first need to download and install a version of Tex. The most widely used is MikTex. Go to the MikTex homepage and download version 2.7. I would recommend installing the basic version, not the complete. The complete is very large and MikTex has ability to install packages as you need them if one is missing.

Next you need an editor. A very good free editor is TexMaker. Another very good editor is WinEdt. You may use WinEdt for a short time for free. After that you will receive (increasingly annoying) reminders to purchase the software. Note: WinEdt is the editor on the lab computers.

Instructions for Mac users

Just download the latest MacTex version. Click on the downloaded file MacTex.dmg and Tex will be installed on your computer.

Now go to TexShop. After downloading the latest version of TexShop simply click on the file TexShop.dmg and it will be installed on your computer.

Using LaTex

You may look at files example1.tex (or example1.pdf) and example2.tex (or example2.pdf) to see some examples of typical commands.

The file template.tex (or template.pdf) contains a template for your homework assignments.

LaTex Resources

The file ltxprimer.pdf contains a primer for LaTex. Another primer is located at http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/.

The file Texmaker.pdf contains an overview of TexMaker. The file WinEdtOverview.pdf contains an overview of WinEdt.

For a list of common symbols go to http://web.ift.uib.no/Fysisk/Teori/KURS/WRK/TeX/symALL.html. The file symbols-letter.pdf contains a comprehensive list of symbols.

Math 565-001

Lecture: MWF 1:00 - 1:50, 323 TMCB

For the syllabus click on syll565winter11.pdf. For more information go to the Blackboard page for the class.

Click here for a list of the homework.

 

 

Fall 2010

Math 290-006

Lecture: MWF 11:00 - 11:50, 112 TMCB

For the syllabus click on syll290fall10.pdf. For more information go to the Blackboard page for the class.

Click here for a list of the homework.

LaTex

Although you may use any method to type in your homework I strongly encourage you to learn LaTex. Although it may be harder at first, the benefits pay off quickly.

Instructions for Windows users

You first need to download and install a version of Tex. The most widely used is MikTex. Go to the MikTex homepage and download version 2.7. I would recommend installing the basic version, not the complete. The complete is very large and MikTex has ability to install packages as you need them if one is missing.

Next you need an editor. A very good free editor is TexMaker. Another very good editor is WinEdt. You may use WinEdt for a short time for free. After that you will receive (increasingly annoying) reminders to purchase the software. Note: WinEdt is the editor on the lab computers.

Instructions for Mac users

Just download the latest MacTex version. Click on the downloaded file MacTex.dmg and Tex will be installed on your computer.

Now go to TexShop. After downloading the latest version of TexShop simply click on the file TexShop.dmg and it will be installed on your computer.

Using LaTex

You may look at files example1.tex (or example1.pdf) and example2.tex (or example2.pdf) to see some examples of typical commands.

The file template.tex (or template.pdf) contains a template for your homework assignments.

LaTex Resources

The file ltxprimer.pdf contains a primer for LaTex. Another primer is located at http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/.

The file Texmaker.pdf contains an overview of TexMaker. The file WinEdtOverview.pdf contains an overview of WinEdt.

For a list of common symbols go to http://web.ift.uib.no/Fysisk/Teori/KURS/WRK/TeX/symALL.html. The file symbols-letter.pdf contains a comprehensive list of symbols.

Math 341-003

Lecture: MWF 1:00 - 1:50, 104 TMCB

For the syllabus click on syll341fall10.pdf. For more information go to the Blackboard page for the class.

Click here for a list of the homework.

 

 

Winter 2010

Math 635-001

Lecture: MWF 9:00 - 9:50, 133 TMCB

For the syllabus click on syll635winter10.pdf. For more information go to the Blackboard page for the class.

1. For the 1st written homework do problems 2.2, 2.4, 2.5, 2.7, 2.9, 2.10 in the notes.

2. For the 2nd written homework do problems 2.12, 2.13, 2.15, 2.16, 2.17 in the notes.

3. For the 3rd written homework do problems 3.1, 3.2, 3.3, 3.5, 3.7, 3.8, 3.9 in the notes.

4. For the 4th written homework do problems 3.10, 3.11, 3.12, 3.15 in the notes.

5. For the 5th written homework do problems 3.17, 3.18, 3.20, 3.21, 3.22 in the notes.

6. For the 6th written homework do problems 4.2, 4.5, 4.6, 4.8, 4.9, 4.10 in the notes.

7. For the 7th written homework do problems 4.11, 5.2, 5.4 in the notes.

8. For the 8th written homework do problems 5.8, 5.10, 5.11, 5.12 in the notes.

9. For the 9th written homework do the problems in homework9.pdf.

10. For the 10th written homework do problems 5.13, 5.16, 5.17, 5.18 - This last problem should read prove Corollary 5.57.

11. For the 11th written homework do problems 5.19, 5.21.

12. For the 12th written homework do problems 7.1, 7.3, 7.4, 7.5. These are due on April 12th.

Math 290-005

Lecture: MWF 2:00 - 2:50, 331 TMCB

For the syllabus click on syll290winter10.pdf. For more information go to the Blackboard page for the class.

Click here for a list of the homework.

LaTex

Although you may use any method to type in your homework I strongly encourage you to learn LaTex. Although it may be harder at first, the benefits pay off quickly.

Instructions for Windows users

You first need to download and install a version of Tex. The most widely used is MikTex. Go to the MikTex homepage and download version 2.7. I would recommend installing the basic version, not the complete. The complete is very large and MikTex has ability to install packages as you need them if one is missing.

Next you need an editor. A very good free editor is TexMaker. Another very good editor is WinEdt. You may use WinEdt for a short time for free. After that you will receive (increasingly annoying) reminders to purchase the software. Note: WinEdt is the editor on the lab computers.

Instructions for Mac users

Just download the latest MacTex version. Click on the downloaded file MacTex.dmg and Tex will be installed on your computer.

Now go to TexShop. After downloading the latest version of TexShop simply click on the file TexShop.dmg and it will be installed on your computer.

Using LaTex

You may look at files example1.tex (or example1.pdf) and example2.tex (or example2.pdf) to see some examples of typical commands.

The file template.tex (or template.pdf) contains a template for your homework assignments.

LaTex Resources

The file ltxprimer.pdf contains a primer for LaTex. Another primer is located at http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/.

The file Texmaker.pdf contains an overview of TexMaker. The file WinEdtOverview.pdf contains an overview of WinEdt.

For a list of common symbols go to http://web.ift.uib.no/Fysisk/Teori/KURS/WRK/TeX/symALL.html. The file symbols-letter.pdf contains a comprehensive list of symbols.

 

Fall 2009

Math 334-002

Lecture: MWF 1:00 - 1:50, B092 JFSB

For the syllabus click on syll334fall09ww.pdf. For more information go to online.byu.edu. Then click on the class Math 334 Fall 09 section 002 - Fisher. For the authentication key type in "Fisher".

The TA for the class is Long Bao Nguyen. His office hours are

M 3-4 in TMCB 260

W 12-1 in the Math Lab

Th 11-12 in TMCB 260.

Announcement:

1. For those of you having problems viewing pdf files online. One thing to try is to right click on the file, save to your desktop, and then open it. The file for the 1st homework is Homework1.pdf and the file for the Webwork instructions is webworkinstructions.pdf.

2. For the 2nd written homework click on Homework2.pdf.

3. The TA sections for the class are Tuesdays from 2-4 in C-285 of the Eyring Science Center. Those with last names from A-K try to attend from 2-2:50 and those with last names from L-Z try to attend from 3-3:50.

4. For the 3rd written homework click on Homework3.pdf.

5. For the review for midterm 1 click on ReviewMidterm 1.pdf.

6. For the 4th written homework due on October 1st click on Homework4.pdf.

7. For the 5th written homework due on October 6th click on Homework5.pdf.

8. For the 6th written homework due on October 13th click on Homework6.pdf.

9. For the 7th written homework due on October 20th click on Homework7.pdf.

10. For the review for midterm 2 click on ReviewMidterm2.pdf.

11. For the 8th written homework due on October 27th click on Homework8.pdf.

12. For the 9th written homework due on November 3rd click on Homework9.pdf.

13. For the 10th written homework due on November 10th click on Homework10.pdf.

14. For the 11th written homwork due on November 17th click on Homework11.pdf.

15. For a Maple worksheet to help plot direction fields of systems of equations right click on desystems.mw to download it to your computer. You will need Maple 11 or higher to work on this. The program is installed in the computers in the Math Lab.

16. For the review for midterm 2 click on ReviewMidterm3.pdf.

17. For the 12th written homework due on December 1st click on Homework12.pdf.

18. For the 13th written homework due on December 8th click on Homework13.pdf.

19. For the review for the final click on ReviewFinal.pdf.

20. For the solutions to the 3rd midterm click on midterm3solutions.pdf.

 

Winter 2009

Math 635-001

Lecture: MWF 9:00 - 9:50, 133 TMCB

For the syllabus click on syll635winter09.pdf. For more information go to the Blackboard page for the class.

Math 190-003

Lecture: MWF 2:00 - 2:50, 331 TMCB

For the syllabus click on syll190winter09.pdf. For more information go to the Blackboard page for the class.

Click here for a list of the homework.

 

LaTex

Although you may use any method to type in your homework I strongly encourage you to learn LaTex. Although it may be harder at first, the benefits pay off quickly.

Instructions for Windows users

You first need to download and install a version of Tex. The most widely used is MikTex. Go to the MikTex homepage and download version 2.7. I would recommend installing the basic version, not the complete. The complete is very large and MikTex has ability to install packages as you need them if one is missing.

Next you need an editor. A very good free editor is TexMaker. Another very good editor is WinEdt. You may use WinEdt for a short time for free. After that you will receive (increasingly annoying) reminders to purchase the software. Note: WinEdt is the editor on the lab computers.

Instructions for Mac users

Just download the latest MacTex version. Click on the downloaded file MacTex.dmg and Tex will be installed on your computer.

Now go to TexShop. After downloading the latest version of TexShop simply click on the file TexShop.dmg and it will be installed on your computer.

Using LaTex

You may look at files example1.tex (or example1.pdf) and example2.tex (or example2.pdf) to see some examples of typical commands.

The file template.tex (or template.pdf) contains a template for your homework assignments.

LaTex Resources

The file ltxprimer.pdf contains a primer for LaTex. Another primer is located at http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/.

The file Texmaker.pdf contains an overview of TexMaker. The file WinEdtOverview.pdf contains an overview of WinEdt.

For a list of common symbols go to http://web.ift.uib.no/Fysisk/Teori/KURS/WRK/TeX/symALL.html. The file symbols-letter.pdf contains a comprehensive list of symbols.

 

 

Winter 2008

 

Math 635-001

Lecture: MWF 4:00 - 4:50, 104 TMCB

For the syllabus click on syll635.pdf (the schedule was updated on March 3).

The final for the class is April 18th from 7pm - 10pm. More information will be given in class.

Lecture Notes

• Lecture 1 - Recurrence

• Lecture 2 - Circle Homeomorphisms

• Lecture 3 - Expanding Endomorphisms

• Lecture 4 - Subshifts

• Lecture 5 - Quadratic Maps

• Lecture 6 - Hyperbolic Toral Automorphisms.

• (For a figure showing the Markov partitions click on toral1.pdf.)

• Lecture 7 - The Horseshoe and Solenoid

• Lecture 8 - Recurrence Revisited

• Lecture 9 - Topological Entropy

• Lecture 10 - Computing Topological Entropy

• Lecture 11 - Measure Theory and Recurrence

• Lecture 12 - Ergodicity and Mixing

• Lecture 13 - Examples of Ergodicity

• Lecture 14 - Ergodic Theorems

• Lecture 15 - Invariant Measures (another good reference for this is Walters "Introd. to Erg. Th." ch. 6)

• Lecture 16 - Differential Topology

• Lecture 17 - Hyperboplic Sets

• Lecture 18 - Stable Manifold Theorem

• Lecture 19 - Inclination Lemma

• Lecture 20 - Horseshoe from Homoclinic Points (to see a figure representing this click on homoclinic.pdf)

• Lecture 21 - Local Product Structure and Locally Maximal

• Lecture 22 - Shadowing and Anosov Closing Lemma

• Lecture 23 - Stability of Hyperbolic Sets

• Lecture 24 - Spectral Decomposition

• Lecture 25 - Markov Partitions

• Lecture 26 - Sharkovsky's Theorem. Click on http://www.math.northwestern.edu/~burns/papers/boris1/

for a paper written by K. Burns and B. Hasselblatt with a nice proof and description of Sharkovsky's Theorem.

• Lecture 27 - Measure Theoretic Entropy

Homework and Exams

• Homework 1, due January 24th.

• Homework 2, due February 6th.

• Homework 3, due February 20th by the beginning of class. (Late homework will no longer be accepted.)

• Homework 4, due March 5th by the beginning of class. (Late homework will no longer be accepted.)

• Midterm 1, due March 12th by the beginning of class.

• Homework 5, due March 26th by the beginning of class.

• Homework 6, due April 9th by the beginning of class.

• Final Exam, due April 18th by 10pm.

 

Fall 2007

Math 190 - 003

• Lecture MWF 12:00-12:50, in 121 TMCB For the syllabus click on syll190.pdf.
• For the homework click on hwk190.pdf.
• For an introduction to using LaTex click on http://www.maths.tcd.ie/~dwilkins/LaTeXPrimer/. WinEDT is a TeX/LaTeX editor that is installed on all the Access Point systems in rooms 149 and 150 TMCB. To install LaTex the click on the Blog for installing LaTex.

Math 634 - 001

• For the syllabus click on syll634.pdf.
• For the homework click on hwklist634.pdf.
• For Maple worksheets for Homework 3 download files numer.mw or euler.ms.