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)

Thursday Recitations
To change your recitation section, please email Meagan.
 Section Time Location TA
 1 9 am119 DWN Ryan / Todd 
 210 am 119 DWN Ryan / Todd  
 31 pm 107 DWN Ryan / Todd  
 42 pm B111 DWN Ryan / Todd 

Note: Due to a scheduling conflict, Ryan and Todd will alternate who holds morning/afternoon recitations.  Todd will hold morning recitation for weeks 1,3,5,7,9.  Ryan will hold morning recitation for weeks 2,4,6,8,10.

Course Instructor Contact Information and Office Hours
379 Linde Hall
Office hours: Wednesday 11-12 or by appointment

TA Contact Information and Office Hours
Todd Norton (Head TA)
255 Linde Hall
Office hours: Sunday 7-8 pm by appointment (make appointment by following this linkPlease note: Todd's office hours will take place at these times on MONDAY, JAN 21 instead of Sunday, Jan 20.  This is because HW 2 is due on Tuesday, Jan 22.
                    Sunday 8-9 pm (open office hours)
289 Linde Hall
Office hours: Friday 3-5 pm (open office hours)

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.

Notes will periodically be posted here throughout the quarter.

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. Please submit your homework to the Math 1 drop boxes on the first floor of Linde. 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. 

If you are interested in serving as an ombudsperson for Math 1b-Practical, please let Meagan know.
 House   Name Email (at caltech . edu)
 AveryJoeyta Banerjeejbanerje
 BechtelTianyi Zhang  tzhang2
 BlackerSarah Barrett
Nastya Grebin
 DabneyJina Lee jinalee
 Fleming  Meena Hari
Jeffrey Ma
Polina Verkhovodova
 Ricketts  Ayooluwa Odemuyiwa aodemuyi
 Ruddock  Eman Elsheikheelsheik

 Date PostedAssignment Due Date Solutions
 1/6/2019 homework01.pdf 1/14/2019 HW1 HW1 Comments
 1/12/2019 homework02.pdf 1/22/2019 (note change in day)

Midterm and Final Exam

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.

Thomas Norton,
Jan 17, 2019, 6:24 PM
Caltech Math,
Jan 16, 2019, 9:15 AM
Caltech Math,
Dec 11, 2018, 1:50 PM
Caltech Math,
Dec 11, 2018, 11:43 AM
Alexander Kechris,
Jan 6, 2019, 9:21 AM
Alexander Kechris,
Jan 12, 2019, 4:40 PM