Linear Algebra

Course Description and Grading Breakdown
In this course we will discuss systems of linear equations, vectors and matrices, determinants, vector spaces and linear transformations, inner product spaces and diagonalization.
The prerequisite is Math 1a.
There will weekly homework assignments, a midterm and a final exam. The pass-fail line will depend on a composition of these factors; homework will be worth 40% and the midterm and final will each be worth 30%. Typically the pass-fail line has been at approximately 60%. Those with high scores on the homework and midterm will be excused from the final. To be excused from the final, you will need about 90% of the possible points on both the homework and midterm.

Course Meeting Time and Location
Monday, Wednesday and Friday
10:00 - 10:55 am
119  Kerckhoff Laboratory of Biological Sciences (KRK)

 19:00 - 9:55 am
Downs 103
Ronnie Chen
 29:00 - 9:55 am
Downs 119
Karlming Chen
 310:00 - 10:55 am
Downs B111
Ronnie Chen
 410:00 - 10:55 amDowns 103
Siqi He
 51:00 - 1:55 pm
Downs 107
Nathan Lawless
 63:00 - 3:55 pm
Steele 102Liyang Yang
 72:00 - 2:55 pm
Downs B111
Ryan Yoo

Course Instructor Contact Information and Office Hours
215 Math Building (Building 15)
Wednesday 11:05 - 12:00 pm or by appointment.

TA Contact Information and Office Hours
To change your recitation section, please email Meagan.

 TAOfficeOffice hours
Ronnie Chen (Head TA)2-D Math BuildingSundays, 11am-12pm and 7-8pm, Downs 107 (March 11 - 7 pm office hours rescheduled to 5 - 6 pm in 119 DWN)
Karlming Chen2-U Math BuildingSaturdays, 6-7pm, Downs 107
(March 10 - no office hours)
Siqi He2-P Math BuildingSaturdays, 7-8pm, Downs B111
(March 10 - no office hours)
Nathan Lawless      2-W Math BuildingFridays, 4-5pm, Downs 107
Liyang Yang2-B Math BuildingSaturdays, 8-9pm, Downs 107
Ryan Yoo2-Q Math BuildingSaturdays, 2-3pm, Downs 107

Course Schedule and Textbook
The textbook for the course will be Linear Algebra by M. O'Nan and H. Enderton, 3rd Edition. A legal, downloadable, pdf copy is available here. The file has been updated to include the missing pages (pages 118, 119, 124 and 125). Thank you to everyone that brought the missing pages to our attention.

Notes will be posted here intermittently throughout the quarter.

 2/5/18Matrix Rank and Nullity
 2/12/18 Change of Basis Formulas

Course Policies
Please go to the recitations. Each week, a portion of the recitation will be dedicated to introducing some computational (or even theoretical) aspect which the instructor will not have time to present in class. In general, get to know your TA, ask questions, and try to fill in all the gaps in your understanding.

Homework is due Mondays at 2:00 pm and will be posted on the course website at least a week before it is due, except for the first set which will be posted on Wednesday January 3. Please submit your homework to the Math 1 drop boxes on the first floor of Downs, between room 113 and 119. These are the same drop boxes that were used for Math 1a. All problems may be done in collaboration with others. However, each student must write down the solutions in their own individual way. There should be no two identical solutions to any problem. Collaboration is not allowed in the exams. Please consult the collaboration table for more information about what is and is not allowed.

At most, one late homework set will be accepted, and only at the discretion of the head TA. Arrangements should be made in advance with the head TA and the work should be submitted less than 1 week late, except in extreme circumstances. Beyond that, late homeworks will NOT be accepted, except with a note from the Dean's office. 

Ombuds Meeting
The Math 1b Ombuds meeting will be on Thursday February 15 from 12 - 1 in room 105 of the Math Building. If you would like to be an Ombudsperson, please let Meagan know. Lunch will be provided.
Your Ombud:

 Date PostedAssignment Due Date  Solutions Comments
2/12/18 HW62/20/18 

Midterm and Final Exam
Midterm is available here. The password has been emailed to you. If you have any issues accessing the file, please contact Meagan.

Final exam is available here. It is due on March 14 at 10 am. If you have any issues accessing the file, please contact Meagan.
Final exam review sessions - in recitation (March 8), in class (March 9) and March 10 with Nathan from 6 - 8 pm in B122 GCL.

Collaboration Table
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:


* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

Caltech Math,
Jan 2, 2018, 10:11 AM
Caltech Math,
Jan 8, 2018, 11:07 AM
Caltech Math,
Jan 16, 2018, 9:39 AM
Caltech Math,
Jan 22, 2018, 9:41 AM
Caltech Math,
Feb 14, 2018, 10:39 AM
Caltech Math,
Feb 12, 2018, 9:16 AM
Caltech Math,
Feb 20, 2018, 9:14 AM
Caltech Math,
Feb 26, 2018, 9:41 AM
Caltech Math,
Feb 5, 2018, 9:37 AM
Caltech Math,
Feb 12, 2018, 9:16 AM
Ronnie Chen,
Feb 15, 2018, 12:01 PM
Ronnie Chen,
Feb 23, 2018, 1:32 PM
Ronnie Chen,
Mar 1, 2018, 9:11 PM
Ronnie Chen,
Mar 9, 2018, 10:44 PM
Caltech Math,
Jan 23, 2018, 3:52 PM