# MATLAB for Math 20D

Welcome to the gateway page for the MATLAB portion of Math 20D! This part of the course is an introduction to the use of computer software to solve ordinary differential equations. The labs are meant not only to teach you how to use the software but also to help you see how the underlying algorithms actually work. The material also aims to give additional perspective to topics covered in the lecture, and it presents a few real-world applications that you might end up encountering in your major.

In general, each lab is self-contained and can be completed without prior MATLAB experience, although some assignments depend on commands learned in earlier labs. There are no limitations on when you may use the computer lab in AP&M B432 (B349 in the summer), and you can spend as much time as you wish on each assignment as long as you submit it on time.

If you need information about course policies or about using MATLAB on campus computers, check the links on the sidebar.

Assignments | 1. Introduction to MATLAB | Due Apr. 20 |

2. Visualizing Solutions to ODEs | Due May 4 | |

3. Numerical Methods | Due May 18 | |

4. Systems of ODEs | Due June 1 |

The due dates above are the standard dates for all 20D courses, but please note that **your instructor may assign different dates**, in which case his or her assigned dates take precedence. Please check your class's website to verify due dates.

Homework should be uploaded to Gradescope by **11:59 pm** on the listed due dates. (See the instructions within Assignment 1 for more information.) Be careful to pace yourself with the rest of the course; if you see a midterm coming up near a MATLAB due date, it is to your advantage to do your homework early.

## MATLAB Tutoring

MATLAB tutors are available to provide help with MATLAB; their scheduled hours are available via the link in the sidebar. Please note that there are not any regular MATLAB sections. You may go to the MATLAB lab any time it's open, whether or not your TA is scheduled to work there at that time. You can get help from any of the tutors present.

## The MATLAB Quiz

During the last week of the quarter, you will have to take a MATLAB quiz.

- You will be tested on your ability to use rudimentary MATLAB commands to solve basic computational problems and on your understanding of topics covered in the lab assignments.
- The quiz will cover Assignments 1 through 4.
- The quiz is open book and open notes. You may even make use of the labs you've completed during the quarter.
- The quiz is scheduled for 50 minutes, although you most likely will not need the full amount of time.
- You need not bring anything to the quiz except a pen and a photo ID.

To help lighten the load on proctors, please do the following when you arrive for the quiz:

- Sit at an open terminal and put your photo ID on your desk.
- Once your proctor gives you your quiz, immediately fill in your name, your TA's name, and your instructor's name in ink.
- You may then start working immediately.

### Quiz Times

Your quiz time is based on the discussion section in which you are *officially* enrolled. This spring, the 20D quiz will be held

Thursday, June 7 |

in APM B432 at the same time of day as your regular discussion section. |

If you are unable to make it to your assigned quiz time, you have the option to instead take an alternate quiz at a different time. **During week 9**, the week before the quiz, you will be able to go sections.ucsd.edu and select an alternative time. Sign-ups will open on Monday and will close at noon on Saturday of week 9. *If you fail to sign up during this time, you will not be able to take the alternate quiz.*

This winter, alternate quizzes will be offered on **Monday, June 4**, at **9 am, 10 am, 11 am, and noon**.

**We do not offer make-up quizzes if you miss your quiz.**

If you have any questions about the MATLAB quiz or the alternate quiz times, please email the Senior MATLAB TA.

## Feedback

If you have any suggestions or comments about the lab assignments, we'd love to hear from you. Also, if you encounter any mistakes or broken links, let us know. Send an email to the Senior MATLAB TA.

## References

Books:

- Boyce, William E. and Richard C. DiPrima.
*Elementary Differential Equations and Boundary Value Problems*. 8th ed. Hoboken, NJ: John Wiley & Sons, Inc., 2005.

This is the textbook for most of the Math 20D course. - Kreysig, Erwin.
*Advanced Engineering Mathematics*. 7th ed. New York: John Wiley & Sons, Inc., 1993.

This book explains many of the applications of differential equations to science and engineering. - Stewart, James.
*Calculus - Early Transcendentals*. 5th ed. Pacific Grove, CA: Brooks/Cole, 2003.

This is also a textbook for Math 20D, covering the first few weeks of the course.

Web Sites:

- Wikipedia

An excellent resource for articles on mathematical topics. - The Millenium Problems

The Clay Mathematics Institute has offered a million dollar prize for the solution of a variety of open problems in mathematics. One such problem involves solving the Navier-Stokes equations, which are a set of differential equations. - MacTutor Archive

The MacTutor History of Mathematics Archive is a comprehensive reference for information about mathematicians and the history of mathematics. Biographies of mathematicians mentioned in these assignments are found on this site. - BCIT Math Applications

This site is a great resource for finding applications of math to the real world. - MathWorks

MathWorks is the creator of MATLAB. Product information and help can be found here. - UCSD Math

This is the home page for the UCSD Department of Mathematics. - UCSD ETS

This is the ETS (Educational Technology Services) home page, containing resources for computing at UCSD.

## Acknowledgments

Faculty Coordinator | Professor Li-Tien Cheng |

Graduate Student Coordinator | John Geller |

Previous Faculty Coordinators | Professor Bejenaru Professor Bunch Professor Driver Professor Eggers Professor Helton Professor Holst Professor Li |

Previous Graduate Student Coordinators | Jay Cummings Liz Fenwick James Hall Dan Hoff Derek Newland Håkan Nordgren Jacek Nowacki Sean Raleigh Alon Regev Timothy Swec |

*Last Modified: 1 October 2017*