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

Thursday Recitations
 Section Time Location TA
 1 Thursday 9:00am119 DWNTrung Can
 2Thursday 10am 119 DWNAndrei Shubin  
 3Thursday 1:00pm107 DWN  Frid Fu
 4Thursday 2:00pmB111 DWN  Neeraja Kulkarni 
 8 Thursday 10:00am 103 DWN Forte Shinko


Course Instructor Contact Information and Office Hours
379 Linde Hall
Office Hours: Wednesday 11:00-12:00 or by appointment 

TA Contact Information and Office Hours
(all office hours will be held in 289 Linde):
Forte Shinko (head TA):
287 Linde Hall
Office hours (in 289 Linde): Saturday 7:00pm - 8:00pm

Trung Can:
153 Linde Hall
Office hours (in 289 Linde): Sunday 5:00pm - 6:00pm

Frid Fu:
153 Linde Hall
Office hours (in 289 Linde): Sunday 4:00 - 5:00pm

Neeraja Kulkarni:
382 Linde Hall
Office hours (in 289 Linde): Saturday 6:00pm - 7:00pm
382 Linde Hall
Office hours (in 289 Linde): Friday 5:00pm - 6:00pm

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.
 DateTopic 
2/6/2020  Notes on matrix rank and nullity
 2/13/2020 Notes on 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. 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 homework will NOT be accepted, except with a note from the Dean's office. 

Ombuds
If you are interested in serving as an ombudsperson for Math 1b-Practical, please let Freddy Mora know.
 House   Name Email (at caltech. edu)
 AveryShir Goldinger
Albert Kyi
sgoldfin@caltech.edu
akyi@caltech.edu
 Bechtel 
 BlackerJon Corrales de Oliveira
Evan Dicker
jonco@caltech.edu 

edicker@caltech.edu
 DabneySarah Dunbarsdunbar@caltech.edu
 Fleming Jackie Wang
Catherine Kauber
jjwang2@caltech.edu
ckauber@caltech.edu
 LloydEric Amaroeamaro@caltech.edu
 PageArya Mevada
Mohim Misra
amevada@caltech.edu
mmisra@caltech.edu
 Ricketts  
 Ruddock  Lily DeBell
Hannah Fisher
ldebell@caltech.edu
hfisher@caltech.edu



Assignments
 Date PostedAssignment Due Date Solutions
 Comments
1/4/2020 Homework #1 1/13/2020HW#1 HW#1
1/11/2020 Homework #2
1/21/2020
(note change in day)
HW#2HW#2
1/20/2020 Homework #31/27/2020HW#3
HW#3
1/25/2020 Homework #4 2/3/2020HW#4
HW#4
 2/8/2020 Homework #5
2/18/2020
(note change in day)
HW#5
  2/17/2020    Homework #6  2/24/2020    
  

 
 



Midterm and Final Exam

Midterm review will be held in class on Wednesday, February 5 and during recitation on Thursday, February 6.
Additional midterm review by Forte Shinko: Saturday, February 8 @ 4:00pm in Linde 310.
You can access the midterm through our Box Drive link (more details in the email). The midterm is due on Monday, February 10 at 10:00 am.

Final review will be held in class- TBD
Additional final review by Forte Shinko- TBD




Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
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 course webpage YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams from previous years or any other sourceNONO
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:

CalculatorsYES*NO
ComputersYES*NO

* 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.

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Alexander Kechris,
Jan 15, 2020, 3:30 PM
Ċ
Alexander Kechris,
Jan 25, 2020, 11:32 AM
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Forte Shinko,
Feb 1, 2020, 5:34 PM
Ċ
Alexander Kechris,
Feb 4, 2020, 9:21 AM
Ċ
Alexander Kechris,
Feb 19, 2020, 6:13 PM
Ċ
Alexander Kechris,
Dec 1, 2019, 9:11 AM
Ċ
Alexander Kechris,
Feb 6, 2020, 8:13 AM
Ċ
Alexander Kechris,
Feb 13, 2020, 8:21 AM
Ċ
Forte Shinko,
Jan 22, 2020, 2:15 PM
Ċ
Forte Shinko,
Jan 27, 2020, 1:02 PM
Ċ
Forte Shinko,
Feb 1, 2020, 4:53 PM
Ċ
Forte Shinko,
Feb 5, 2020, 1:11 PM
Ċ
Forte Shinko,
Feb 17, 2020, 11:00 AM
Ċ
Alexander Kechris,
Feb 10, 2020, 11:00 PM
Ċ
Alexander Kechris,
Dec 1, 2019, 9:09 AM
Ċ
Alexander Kechris,
Jan 4, 2020, 5:23 PM
Ċ
Alexander Kechris,
Jan 11, 2020, 10:56 AM
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Forte Shinko,
Jan 20, 2020, 2:44 PM
Ċ
Alexander Kechris,
Jan 25, 2020, 11:36 AM
Ċ
Alexander Kechris,
Feb 8, 2020, 8:38 AM
Ċ
Alexander Kechris,
Feb 17, 2020, 9:11 AM