Office: 3228 Math. Sci. Building
Email: deloera@math.ucdavis.edu
NOTE: If you have private or personal question (e.g., your grade, grading complain) please see me in person or write to my email. Otherwise,

ALL math questions (e.g., what is an eigenvalue?) must be asked online (FORUMS), in class, or during office hours to allow all students to benefit.


Office Hours: Monday+ Wednesday 4-5pm, Wednesday 12:30pm-1:30pm or by email appointment.
please also use the online virtual office hours! via CANVAS's discussion forum

Jiawei Wang (Thursday, 3-4pm 2123 Math. Sci. Building)
Haolin Chen (Tuesday, 2-3pm 3125 Math. Sci. Building)

Linear algebra is about the solution of linear equations and the application of linear maps or transformations, estimation of least-squares, and computation of eigenvalue. These fundamental problems appear everywhere in engineering and science. Today's technology will collapse without them. This course aims to help you develop a working understanding of linear algebra which is expected from all STEM graduates in the age of the internet.

Here are the key topics and a very tentative schedule:

• What is linear algebra and why it matters a lot!!
• Vectors, Matrices and Linear combinations. (1.1-1.3)
• Solving Linear Systems of Equations (2.1-2.7)
• _______________FIRST MIDTERM (Monday February 4th 2019)__________________
• Spaces of vectors: Nullspace and Range, Basis, independence, and dimension (3.1-3.5)
• Orthogonality and Projections, Gram-Schmidt Orthogonalization. Least-squares Approximations (4.1-4.4).
• ________________SECOND MIDTERM (Friday March 1st 2019)_________________
• Determinants (5.1-5.3)
• Eigenvalues & Eigenvectors, Diagonalization, Positive Definite Matrices (6.1,6.2,6.3)
• Various applications (Chapter 10)
• ________________FINAL EXAM (all topics covered Tuesday March 19, 2019)____________________

• You must have passed MAT 016C or MAT 017C or MAT 021C with a C- or better grade. You will be dropped otherwise!!
• You must have passed ENG 006 or EME 005 or ECH 060 or MAT 022AL. Otherwise you have to take one of them concurrently. I will drop you off the course otherwise.
• Again, basic knowledge of MATLAB will be required. MATLAB is easy to learn.   If you do not know how to use MATLAB, then you need to enroll in 22AL,
  or you will be dropped. To do some self-study use the material listed below.
• Formal attendance is not taken. But whether you attend class or not, you are responsible for all the material I discussed in class and all assigned readings,
  homework, etc.
• I intend to make this a very intense class, with you DOING lots of math!! I expect all students to be involved.
• This is a 3 unit course! Thus, you are expected to work at least 3 hours at home for each hour of lecture. In other words, expect to have 9 hours of homework, reading, etc. each week.

The grades will be calculated using the statistics, e.g., average and standard deviation, of the class (with the mean typically corresponding to a C+). 100 points are possible in the course:

• In addition to office hours, the CANVAS discussion forum is a great way for all of us to work, collaborate, and discuss what you are learning.
  I will create a discussion forum for each homework, each challenge and each midterm. Post questions and concerns, comments too. Please be respectful.
• I will check the online discussion regularly, but typically in the evening between 8pm-10pm.
• I will only use CANVAS to answer math questions or course logistic questions outside class or office hours. When using the CANVAS DISCUSSION stick to the categories listed.

  Plese do NOT send me emails with math or public questions (e.g., what is an eigenvalue? Where is the final exam room?)

  Emails must be reserved for private individual requests (e.g., what is my grade? make appointments with me, file complains, etc.).

  If you have a math question or a question of interest to more than yourself, chances are 200 other students have the same question too, so please ask it in the CANVAS DISCUSSION forum.

• Students are encouraged to actively participate in the CANVAS discussions online. Make suggestions if you see how to help someone else figure the problem, but please DO NOT POST STRAIGHT SOLUTIONS! Give hints not answers!
• If you have to enter any matrices or formula to ask a question, you could copy-paste them in from MATLAB OR you can follow MATLAB's code notation to express equations.
• To use MATLAB, you need an account. You can get here an account online. Just select 22A. It will ask you for your CRN number.

• To use WEBWORK, we created an account. You can get this account online. . Please record your password in a safe place. I will not create new accounts.
• Each homework will have several exercises inside WEBWORK The lowest two homework scores will be dropped when assessing your final grade.

  The problems can be found The math depts WEBWORK page You can get started with WEBWORKs tutorial

• I will also assign Challenge problems that require more thinking or MATLAB.
• To motivate you to practice more exercises, I plan to include at least problem in the midterm from the Homework.
• I do not post solutions of homeworks. If you need to know how to do a problem ask me or the TAs.
• All exams are closed book. No calculators or cell phones allowed.

• WEBWORK will be used to grade some of the homework. Get an account at math (see instructions above or below). If the deadline passes you cannot submit problems anymore.

This class uses also MATLAB. You have several options for accessing it:

• Create an account at the Math Department. Visit http://www.math.ucdavis.edu/comp/class-accts and follow the instructions.

  You can then work either at the Undergraduate Computer Lab (2118 Math. Sci. Bldg.) or from any other lab in the campus or even from your home PC by remotely connecting to one of the departmental servers, such as [point,cosine,sine,tangent].math.ucdavis.edu. Our lab is open 9am-5pm on weekdays. Closed on weekends. It is important to create your account before you come to the Lab for the first time.

• You can use your own account at your home department if your department has the MATLAB license. This is the case for most of the engineering departments.
• Buy a student Version of MATLAB at UCD Bookstore (costs about $100). This is not required!!! but it is an option.
• Install Octave system on your own PC, which is free software and emulates MATLAB. Caution: Most likely you can do all the lab exercises, but I have not tested all the exercises yet. Visit the official web site of Octave at http://www.octave.org for downloading and installing information.

• Our one-unit class Math 22AL, which provides an intro to MATLAB and has close connection with our class.
• The official MATLAB online "getting started guide" is available from MATLAB (it is free, but registration of an account is required).
• MATLAB offers a very nice online video tutorial
• A Practical Introduction to MATLAB by Mark S. Gockenbach.
• MATLAB Primer by Kermit Sigmon. This publicly available version was written for older version of MATLAB 3.5, but still useful. (Our current version of MATLAB is 7.x.)
• MATLAB Tutorial at MIT. This is the shortest one, tailored to the linear algebra context.
• Numerical Computing with MATLAB by Cleve Moler. This is a book by the creator of MATLAB. I highly recommend to read Chapter 1: Introduction to MATLAB as well as Chapter 2: Linear Equations, Chapter 5: Least Squares, and Chapter 10: Eigenvalues and Singular Values.

VIDEO LECTURES, There are many useful resources in the internet! More than I can mention here! In particular, our textbook was written by Prof. Gilbert Strang. Prof. Strang has posted his 1999 video lectures of his linear algebra book .

Math is not an spectator sport!! You learn math by doing math!

HOMEWORKS & HANDOUTS

Homework 1 and Challenge 1

Homework 2

Homework 3 and Challenge 2

Homework 4