Log
Here exists a log that I use to remind myself what to cover in class. The main audience is me. It might not be thorough. It might not make sense. It might not be helpful. It might be full of lies. However, I'm already writing it for myself so I might as well share it.
04/22
Mostly exam review
Probably do past exam problems.
Do a cool a problem that involves having to solve a linear system and then stick it into a matrix.
04/17
Convince them that linear transformations are determined by what they do to the standard basis.
Convince them that every linear transformation comes from a matrix.
If time, Kernel and ranges.
04/15
Make a really big table. LI/Spanning/dims
Equivalent definitions of spanning, LI
Unifying theorem
If time, http://kevinlui.org/au17m308/log/oct09.pdf and http://kevinlui.org/au17m308/log/oct11.pdf
04/12
Introduce Ax=b, as just linear combinations.
Uniqueness of solutions given by homogeneous solutions
Mention how LI and spanning relates to existence and uniqueness of solutions
Do unifying theorem
Do many many examples in class
04/10
PS 2 is out
Tell them about Ax=b
Go through http://kevinlui.org/au17m308/log/oct06.pdf
04/08
reduce echelon forms are unique.
Chapter 1 Conceptual problems are due with Chapter 2 next Friday.
Go through: http://kevinlui.org/au17m308/log/oct04.pdf
In general, talk a lot of about spans.
Linear combinations of linear combinations are linear combinations of original thing.
Use this to motivate span of two non-parallel vectors being RR^2.
Does this work for RR3? No.
04/05
Tell class to watch 3blue1blue video 1
Tell class that the Chapter 1 of conceptual problems are out
Do example here: https://en.wikipedia.org/wiki/Gaussian_elimination
Do Problem 1 here: http://kevinlui.org/m308exams/au17_midterm1.pdf
Point out what a homogenous solution is
Tell them what a particular solution is
Give a math 126 example
2.1
Tell them what a vector is. It has nice properties. See book.
2.2
Go through this: http://kevinlui.org/au17m308/log/oct04.pdf
04/03
Talk about changes to conceptual problems.
Now have a Canvas.
There will be a stranger in OH, but it'll be okay
Triangular implies echelon
Go through http://kevinlui.org/au17m308/log/sep29.pdf
multiply by 2 on the first row
04/01
Basic info
This is my name, OH, email.
Syllabus is online
Here is the grading scale
Here is the exam schedule
Please don't miss exams
Homework is webassign + conceptual questions
The conceptual questions are due on the Fridays on week 3,5,7,9
The week 3 one will be assigned this Friday
First webassign thing is due Thursday.
WA office hours are 11-3, 4/4 and 4/8 in the MSC
Go through http://kevinlui.org/au17m308/log/sep27.pdf