Honors Linear Algebra – Mathematics 0540
Brown University – Spring, 2020
Professor Joseph Silverman
*** Classes and Office Hours are canceled during the week of March 16–20 ***
*** Instructions concerning remote classes, homework submission, etc. will be sent by email ***
Text 
Linear Algebra Done Right, Sheldon Axler, Springer,
(3rd edition, corrected printing 2014),
ISBN 9783319110790
We will also cover some of the material on determinants in Chapter 3 of Linear Algebra Done Wrong (LADW) by Sergei Treil. You can download LADW by clicking this link. Time permitting, we will also use material from Additional Topics in Linear Algebra (ATLA). You can download ATLA by clicking this link. 

Videos  The author of Linear Algebra Done Right has recorded 50 videos on the material. Click here to view the videos. 
Office  Mathematics Department, Kassar House, Room 202 
Phone  8631124 
jhs@math.brown.edu  
Web Site  www.math.brown.edu/~jhs/MA0054/MA0054HomePage.html 
Office Hours 
Monday 10:00–10:45 AM and Thursday 3:00–3:45 PM 
Course Time  TuTh 10:30–11:50 AM (I Hour) 
Course Location  Barus Holley 141 
Recitation/ Homework Sessions 
Canceled for the rest of the semester
Friday, 1:30–2:30pm, CIT 227. Our TA is Dhruv Bhatia. Students should plan to attend as often as possible. 
Homework Assignments 
I will keep a list of reading and homework assignments on
the following web page:
Click here to go to the Math 0540 Homework Page. *** Assignments and due dates have been modified *** *** Instructions for submitting homework online will be sent via email before classes resume *** 
IMPORTANT MA540 INFORMATION 
Math 540 is the honors version of linear algebra. It is a
fastpaced theoretically oriented course. We'll be covering lots of
interesting material, but you should
be prepared to spend a lot of time on this
course. There will be challenging problems that require
you to work hard, be frustrated, put them aside for a few hours or
a days, and then come back to them. If you leave the problem
sets until the last day before they're due, you're setting yourself
up to do poorly in this class.
Linear algebra is a very important subject, both for its use in theoretical mathematics and for it applicability in the real world. So the computational side of linear algebra is quite important, but due to time constraints, computations will not be the primary focus of the lectures in this course. Homework sets will consist of two different sorts of problems. Some problems will be theoretical, and you'll learn to construct your own proofs. These will generally build on material that we've covered in class. Other problems will ask you to gain familiarity with computational aspects of linear algebra that we discuss only briefly in class. 
Imoprtant Information about Homework 
NOTE:
The problem sets are challenging. Don't leave them until
the last minute! We will be moving rapidly. In order to learn the
material, it is very important to
DO THE HOMEWORK WHEN IT IS ASSIGNED.

Math Resource Center (MRC) 
The
Math Resource Center (MRC)
is a walkin help center designed for
students taking calculus and linear algebra courses at Brown
University. The MRC is staffed by 12 graduate students and 23
undergraduates per night who help students on an individual or small
group basis. The MRC is open from 810 PM, MondayThursday during the
academic year except during academic vacations/breaks. It is open
during reading period, but closes once final exams start.
MRC Location: Foxboro Auditorium (Monday/Tuesday/Thursday) and MacMillan 115 (Wednesday). 
Dates to Remember:
There will be two inclass hour exams and a final exam.
There will be one inclass hour exam, one takehome midterm exam, and a takehome final exam.
Hour Exam #1 
Thursday, February 20 
In class: Chapter 1 & 2 
Hour Exam #2 
Mon Apr 13 – Fri Apr 17 
Takehome exam 
Final Exam 
Tues May 5 – Weds May 13 
Takehome exam 
Grading: The course grade will be determined on the following basis:
Problem Sets 
15% 
Hour Exam 1 
20% 
Hour Exam 2 
25% 
Final Exam 
40% 
Course and Unit Goals: Math 540 introduces students to fundamental topics in linear algebra, which is one of the building blocks of modern mathematics. The course has two main goals. The first is to cover key concepts including vector spaces and linear transformations. The second is to gain proficiency with constructing and writing proofs, which is one of the primary activities of modern mathematics.
Learning Activities and Time Allocation: Learning activities include class attendance, weekly problem sets, two midterm exams and a final exam. The time to complete these activities are (1) attending lectures, approximately 3 hours/week; (2) reading material in the book, approximately 3 hours/week; (3) working on the problem sets, approximately 7 hours/week; (4) studying for exams, approximately 10 hours/semester.
Assessment: Course grades will be determined by the quality of problem sets submitted and by grades on the two midterm exams and the final exam.
Expectations of Students: It is expected that students will attend all lectures and participate in class discussion in an appropriate manner. Assignments are due on the listed dates. All students are expected to abide by Brown's academic code, which may found here
Syllabus (as time allows)