# Assignments

## Contents

## Assignments for 2014

### Assignment 1

Problems are from Strogatz, 2nd edition: 2.2.7, 2.3.3, 2.4.2, 2.5.6G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in Prof. G's office on Thursday, Sept 11 by 5PM . Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

### Assignment 2 (Midterm)

Midterm take-home exam, due 4PM, Oct 31 in Prof. Goldman's office.

The exam consists of a few parts: a preproposal, some problems from the book, a numerical exercise, a proposal like we discussed in class, and a wiki site. You must complete all parts to receive full credit.

1. (10%). Present your prepoposal talk on Oct. 9 in class.

2. (40%) Problems: 4.3.6, 4.3.10G, 4.5.1, 5.1.1, 5.1.9G, 5.1.10b, 5.2.13, 6.1.2, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

3. (10%) For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (seehttp://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

4. (30%) Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment, discuss experimental design, and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well (http://www.latexeditor.org/ for example).

5. (10%) Create a website for your project. Website content will be edited on the class wiki which is at http://nldlab.gatech.edu. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles.

## Assignments for 2012

### Assignment 2

Problems are from Strogatz (1994): 7.3.3, 7.6.15, 8.1.12G, 8.2.1, 8.2.3, 8.4.12, 8.7.10G, 9.3.9, 9.4.2, 10.1.12, 10.2.4, 11.3.8, 11.4.6G, 12.1.5, 12.3.2G, 12.4.3. Problems 8.7.3 and 10.4.10 can be submitted for extra credit for undergraduates and graduates students. Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due Tuesday, November 20th by 5pm. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

### Midterm

The exam consists of four parts: some problems from the book, a numerical exercise, a proposal like we discussed in class, and a wiki site. You must complete all parts to receive full credit.<o:p></o:p>

1. (50%) Problems: 4.3.6, 4.3.10G, 4.5.1, 5.1.1, 5.1.9G, 5.1.10b, 5.2.13, 6.1.2, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. (10%) For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. (30%) Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment, discuss experimental design, and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well (http://www.latexeditor.org/ for example).

4. (10%) Create a website for your project. Website content will be edited on the class wiki which is at http://nldlab.gatech.edu. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles.

Midterm is due at 5pm on Thursday, October 18, in the box outside Dr. Goldman's office. Please put your name and if you are a graduate student/undergrad on the exam and staple all sheets together.

## Assignments for 2011

### Assignment 4

HW4: 9.1.4, 9.4.2, 10.2.4, 10.3.7G,11.4.6G,11.3.8,12.1.5, 12.3.2

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due ~~in class on Tuesday, Nov 29~~ Dec 1st at the beginning of class. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

### Assignment 3

HW3: 7.3.3, 7.6.15, 8.1.1, 8.1.12G, 8.2.1, 8.2.3, 8.4.4G, 8.4.12

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Thursday, Nov 10. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

### Midterm

The exam consists of three parts: some problems from the book, a numerical exercise, and a proposal like we discussed in class. You must complete all parts to receive full credit.

1. Problems: 3.5.4, 4.3.6, 5.1.9G, ~~5.2.13~~, 6.3.6, 6.5.15, 6.6.8G, 6.7.2, where G denotes problems that must be done by graduate students. Unlike homework sets, you may not discuss these problems with your classmates.

2. For problem 6.3.6 write a program in Matlab, Octave, python, etc to sketch the phase plane and plot trajectories x(t) and y(t). Compare what you generate to solutions generated in pplane8.m (see http://math.rice.edu/~dfield/index.html). You must work on your own for this problem.

3. Collaboratively write a 1-3 page project proposal which will summarize the goals of your experiment and cite any relevant literature. We would like these to be written using the LaTeX typesetting language. This can be downloaded and installed freely from http://miktex.org/ and free editors are available on the web as well http://www.latexeditor.org/ for example.

4. Create a website for your project. Website content will be edited on the class wiki which will soon be located at http://nldlab.gatech.edu/w/. Each group will be responsible for creating a wiki page for their experiment which will contain background information on the phenomena studied. Wiki pages should contain outside references such as journal articles. A sample page will be posted.

### Assignment 2

HW2: 3.5.6G, 3.6.6, 4.1.4, 4.3.3, 4.3.10G, 4.5.1, 5.1.1, 5.1.10b, 5.2.12, 5.2.13G.

Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 27. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.

### Assignment 1

Problems are from Strogatz: 2.2.7, 2.3.3, 2.4.2, 2.5.3G, 2.6.2G, 2.8.8, 3.1.1, 3.4.11, 3.4.14, 3.5.6G, 3.6.6. Problems with a G at the end are problems added for the graduate students. Undergraduates may hand them in for extra credit.

HW is due in class on Tuesday, Sept 13. Please put your name and if you are a graduate student/undergrad on the HW. Please staple all sheets together.