We’ll hopefully cover all the matrials for this course 2 or 3 sessions before the actual end of the semester. I would like to dedicate those sessions to some review sessions, during which I will shortly remind you the materials and then we solve some more practice problems together. This poll is to find out which sections of the textbook you find more complicated, so I can manage these review sessions accordingly. Please refer to the Piazza and choose the sections that you think need to be reviewed!
Link to the piazza page: piazza.com/ubc.ca/winterterm22016/math221sec203
Last session, we discussed about the orthogonal projection on a given subspace. In the last example, I did a mistake in solving the first part of the example. I modified the order of different parts of the example to make it easier to understand. You can find a detailed answer to this example here. We will also revisit this tomorrow!
Midterm 2 will cover sections 2.3, 2.5, 2.6, 3.1, 3.2, 4.1 and 4.2. These subsections are not considered for midterm 2:
Section 4.1: Eigenvectors and Difference Equations:
Section 4.2: Similarity, Application to Dynamical systems
Practice problems can be found in the Quiz page. For sections 4.1 and 4.2:
Section 4.1: 1-32
Section 4.2: 1-22
You can find some practice exams from previous years in the following links:
2006 Exam and Solutions.
2007 Exam and Solutions: Except for the problems 5 and 6
2008 Exam and Solutions: Except for the problems 5 and 6
2011 Exam and Solutions: Except for the problems 4, 5 and 6
Although the focus of the exam will be the material covered after the midter 1, math is by nature cumulative. Particularly in this course, many topics are conceptually related and you might need to refresh your memory by studying the materials covered before the midterm 1.
The solutions for midterm one are now uploaded on the sidebar and here.
Please take some time and read it carefully. If you still have any problem with marking, please come to the office hours.
I have decided to run a Piazza page for our course. Here is the sign-up link: piazza.com/ubc.ca/winterterm22016/math221sec203
For those who are not familiar with Piazza:
Piazza is an online gathering place where students can ask, answer, and explore 24/7, under the guidance of their instructors. The quicker you begin asking questions on Piazza (rather than via emails), the quicker you’ll benefit from the collective knowledge of your classmates and instructors. We encourage you to ask questions when you’re struggling to understand a concept—you can even do so anonymously.
Midterm 1 will cover sections 1.1-1.9 and 2.1-2.2. Practice problems are given in the quiz page. For chapter 2:
Section 2.1: 1-21
Section 2.2: 1-10, 29-34
You can find some practice problems here:
Practice exam I Solution I
Practice exam II Solution II Erratum for Solution II(Problem 13)
You can now find the solutions to the quizzes in the sidebar ! The quiz schedule is also updated in the Homeworks and quizzes page.
The blog is updated with the skeleton lecture notes for first two sessions, and filled ones for only the first session. Some additional notes on basic concepts can also be found on the side bar.