**MATH 4428, Spring 2019**

**When and Where**

Instructor: Yoichiro Mori

Location: VinH 2

Time: MWF 10:10-11am and 12:20-1:10pm

Office: VinH 539

email: ymori@umn.edu

Office Hours: MWF 1:15-2:15pm

**Content**

The syllabus is here:
pdf

The tentative schedule is here:
pdf

If you have any questions, feel free to email me.

**Announcements**

- We will be using MATLAB for programming.

If you have not used MATLAB before, there are many online tutorials.

For example, you can take a look at Lynda.com.
- There will be two projects over the course of the semester, and you will have to form teams of 3-4 people.

Please form teams, and send me the list of team members, as well as your favorite topic by Feb. 4.

Here are the midterm project guidelines: pdf.

List of possible projects can be found below.
- Deadline for HW1 has been postponed to Monday next week due to cancellation of classes on Jan. 30.
- No office hours on Feb. 27.
- The final exam will be on May 15, Wed. 8-10am. The makeup final exam time is May 11, Sat., 1:30-3:30pm.
- No office hours on Mar. 15.
- No office hours on Mar. 29.
- On Apr. 12, 15, 17, 19, office hour will be shortened to 1:15pm-2pm.
- Submit your choice of final project by Apr. 15. You can choose a topic from probability or the topic you did not work on (if you worked on optimization, you can pick a dynamical systems project, and vice versa. Make sure you pick a project that has not been presented in class.
- No office hours the week of May 6.

**List of Possible Projects**

- Optimization projects: pdf
- Dynamical systems projects: pdf
- Probability projects: pdf

**Assignments**

- Homework 1, due Feb. 4(note change in deadline!): pdf
- Homework 2, due Feb. 8: pdf
- Homework 3, due Feb. 15: pdf
- Homework 4, due Mar. 8: pdf
- Homework 5, due Mar. 15: pdf
- Homework 6, due Apr. 1: pdf
- Homework 7, due Apr. 22:pdf
- Homework 8, due May 1:pdf (for PageRank notes, see below.)

**Lecture Notes/Supplementary Material**

- Slides used in first day of class: pdf
- Lecture notes for single variable optimization: pdf
- Multivariable calculus review: pdf
- For linear programming, see the book:
Understanding and Using Linear Programming by
Matousek and Gartner.

The book can be downloaded through the U of M library.
My lecture on the simplex method was based on p.57-60 of the book.
- Notes of discrete dynamical systems: pdf
- Notes on bifurcations: pdf
- Notes on numerical methods for differential equations: pdf
- Notes on PageRank: pdf

**Acknowledgements**

- The course material here was developed by Kaitlin Hill.

I am grateful for her in sharing her material with me.