Linear Algebra (Math 110) - Fall 2015
University of California, Berkeley

MWF 1-2pm, 2050 Valley LSB (Lecture)
W 2-3pm, 104 Barrows Hall (Discussion Section 111)

Instructor: Prof. Olga Holtz (Office Hours: TBA)

GSI (+ office hours):


Contact

Email: [my email]
Office: 716 Evans Hall
Office Hours: Tuesday 2.30-4pm Updated 9/1 All office hours will be held in 716 Evans Hall.


Course Outline

Content: From the online schedule: Matrices, vector spaces, linear transformations, inner products, determinants. Eigenvectors. QR factorization. Quadratic forms and Rayleigh's principle. Jordan canonical form, applications. Linear functionals.

Textbook: Linear Algebra Done Right (Third edition) by S. Axler. It is extremely important that you own the correct edition! This textbook is available to be bought at the Cal student store. However, you may also purchase the book from Amazon.com - it is $30 cheaper online. Moreover, the Cal Student Store charges approx. $10 more than any other bookstore, which is an outrage considering the huge amount of money you are already expected to pay for your education.

You may also access the book for free(!) here if you are connected to the campus wifi network (or have the appropriate proxy). Notice that you can order a softcover copy of the book for $24.99! Be aware that this order can take several weeks to arrive.

Course Website: Additional course information, including the course syllabus. Homework is posted here (and below).

Exams:

In-class midterm during lecture meeting: September 21, 2015

In-class midterm during lecture meeting: October 26, 2015

Final Exam: Wednesday, December 16 2015, 7-10pm. Location: TBA


Resources

piazza.com There is a class forum at piazza.com, if you would like to added to this then please send me an email. Use this forum to ask any questions you have concerning the material covered during class and on any problems you have with homework; also, feel free to answer any questions you feel comfortable discussing with your fellow students. Try to be civil with each other!

Notes: I will post any (hopefully?) helpful notes I prepare and hand out during the semester here.

Extras: Here is some useful information on problem solving techniques given by the Hungarian mathematician George Polya.

Here are some useful notes written by Prof. George Bergman on basic mathematical language.

Here is some useful advice on how not to lose marks on exams by a former colleague Andrew Critch.

History: Here is an interesting article about the German mathematician Hermann Grassmann and his involvement in the development of linear algebra during the 19th Century.


Homework

Homework is due Wednesdays at the beginning of the discussion section for which you are registered.

Late homework will not be accepted.

If you are unable to submit your homework at the required time then you can leave it outside my office (716 Evans Hall) at any time before it is due. Please email me if you intend to leave your homework outside my office.

Collaboration on homework is welcome and encouraged although if you are working with another student please state that you have done so (eg. if you work with E. Nother on a particular question just write "This question was completed with E. Nother."). However, all homework assignments must be written up individually. Failure to declare collaboration with another student will result in a grade penalty (and it is remarkably simple to tell when students have copied each other). Also, if you have used a textbook or online notes to help you understand/solve a problem please cite a reference (eg. if you used pages 52-60 of Prof. X's online lecture notes just write "This question used p.52-60 of Prof. X's online lecture notes, available at www.math.com/~profx/linalg)

Grading: Homework will be graded as follows: 5 points will be allotted for completeness; 5 points will be allotted to a single graded problem, chosen at random. So, each homework is worth a total of 10 points.

Homework Assignments:

Graded problems in red. Solutions can be found on piazza.


Worksheets

Here are the worksheets that are handed out during discussion section. You should use these worksheets to get extra practice at computations. They will also highlight various consequences of Theorems you will see in this course. If you have any questions on the worksheets then please get in contact with me; better still, ask a question at piazza.com (making sure to remember to state which problem you are working on!)

Please note: worksheets from past MAth 110 courses that I have been the GSI for can be found here and here. In particular, some of the exercises below have been taken from old worksheets.


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