Honors Linear Algebra and Real Analysis I, Fall 2016
This course gives a rigorous treatment of linear algebra, plus a scattering of topological topics. In no particular order, we will cover: the construction of number systems; fields, vector spaces and linear transformations; eigenvalues and eigenvectors; determinants and inner products; metric spaces, compactness and connectedness. The plan is to work through Axler's Linear Algebra Done Right, and perhaps begin Spivak's Calculus and Calculus on Manifolds.
There will be three forms of graded work:
Collaboration on homeworks with your peers is highly encouraged! However, you must give citations and indicate what you collaborated on and with whom. (Part of academic gracefulness is being very generous about crediting other people with their ideas.) If you use other resources for help, you should understand what you've read well enough that you could withstand interrogation about it—merely copying an answer is not enough to learn. Finally, collaboration on exams is of course prohibited and will result in academic discipline, which could mean failing the exam, failing the class, or expulsion.
- (25% of total) Weekly homework assignments, to be typed up in LaTeX and turned in at the CA's mailboxes (on the second floor of the Science Center) before class each Wednesday. (Expect to spend roughly 12-15 hours a week on this.)
- (25% of total) A midterm exam, date listed below.
- (50% of total) The final exam, date listed below.
Our general policy about late work is strict: we will not permit assignments to be handed in late or exams to be taken on other days without some written mandate from a doctor or the university administration.
Our meeting times for lecture, for office hours, and with the CAs have all been posted below. I will be updating this webpage throughout the semester.
Schedule, Dates and Times
I have listed below some events (along with dates and times) relevant to the course. In addition to the office hours listed, I am also available by email and by appointment; I have a calendar at this address to facilitate setting up meetings.
Regular class times
- Monday, 10:00am - 11:00am in SC Lecture Hall E
- Wednesday, 10:00am - 11:00am in SC Lecture Hall E
- Friday, 10:00am - 11:00am in SC Lecture Hall E
Review session with Yihang: Each Friday, 11:00am - 12:00pm in SC 232
Collaborative homework session: Each Monday, 8:00pm onward in Leverett Dining Hall
- Tuesday, 1:00pm - 2:30pm in SC 229
- Wednesday, 11:00am - 12:00pm in SC 321h
- Sunday, 7:00pm - 8:00pm in Lowell Dining Hall
- Tuesday, 7:00pm - 8:00pm in SC 304
- Monday, 10:00pm - 12:00am in Leverett Dining Hall
- Tuesday, 8:00pm - 9:00pm in SC 304
- Wednesday, 4:00pm - 5:00pm in SC 242e
Drop deadline: Monday, September 19th
Deadline for switching between 23/25/55: Monday, October 3rd
Midterm exam: Wednesday, October 26th, 10:00am - 11:00am in SC Lecture Hall E
Final exam: Saturday, December 10th, 9:00am - 12:00pm in Harvard Hall 201
This is a work in progress.