The course is over! Final grades have been submitted to MySlice. Thanks to everyone for a great semester, and enjoy your break.

• The Final Exam time is incorrect in the syllabus. The correct time is 10:15am-12:15pm on Friday, December 18. It will be in Carn 316 (which I think is the usual room).

• Homework 10 Δ

• Exam III will be in class on Thursday 3 December (changed!). It will cover all of Chapter 5, and Chapter 6 up through the Parallelogram Equality.

• Homework 09 Δ

• Exam III will be in class on Thursday 19 November.

• Homework 07 Δ
• Homework 08 Δ

• Homework 06 Δ

• The nuts and bolts of writing mathematics (some really good advice here)

• Homework 05 Δ

• Exam II will be in class on Thursday 29 October.
• The Final Exam time is incorrect in the syllabus. The correct time is 10:15am-12:15pm on Friday, December 18.

• Homework 04 Δ

• Homework 03 Δ

Announcements

• Exam I will be in class on Thursday 24 September. (That’s soon!)
• Exam II has been rescheduled for Thursday 29 October.

• comments on HW01 Δ
• Homework 02 Δ (Note typo in #3, n should be m)
• Homework 03 Δ

• Homework 01 Δ (Note typo in #3; should read “…subspace of P(F).”)

Problem Sets

• Homework 01 Δ

Office Hours

MW 2—4, TF 9:30—11; by appointment; and any time my door is open (206C Carnegie)

Important documents

course syllabus Δ

• history and motivation of determinants (which we will not be studying)

Text

Linear Algebra Done Right, 2nd ed., Sheldon Axler, Springer 1997

Time & Place

TR 3:30—4:50, Carnegie 316

Links

Basics

Instructor

Prof. Graham Leuschke

Contact

gjleusch@math.syr.edu

Time & Place

TBA

Office Hours

times TBA; by appointment; and any time my door is open (206C Carnegie)

Text

Linear Algebra Done Right, Sheldon Axler

Important documents

course syllabus Δ (coming soon)

It has been said that ‘the human mind has never invented a labor-saving machine equal to algebra.’ If this be true, it is but natural and proper that an age like our own, characterized by the multiplication of labor-saving machinery, should be distinguished by the unexampled development of this most refined and most beautiful of machines.

Josiah Willard Gibbs, 1887

Links

• The Second Eigenvalue of the Google Matrix
• The Anatomy of a Large-Scale Hypertextual Web Search Engine [PDF] (Sergey Brin and Larry Page’s original paper describing the PageRank algorithm. Surprisingly readable.)
• The Use of the Linear Algebra by Web Search Engines [PDF] (Again, surprisingly readable. Has sections on PageRank and Jon Kleinberg’s HITS [“hubs and authorities”] algorithm.)
• PageRank Uncovered [PDF] (A slightly slimy overview of Google’s PageRank, including tips for webmasters. See page 12 for the mathematics.)
• The World’ s Largest Matrix Computation
• Google Technology (“The heart of our software is PageRank™, a system for ranking web pages developed by our founders Larry Page and Sergey Brin at Stanford University.”)
• history and motivation of determinants
• James Joseph Sylvester (1814–1897) first coined the term matrix: “a rectangular array of terms out of which different systems of determinants may be engendered, as from the womb of a common parent.” (Matrix is the Latin word for womb. Sylvester was also responsible for the mathematical terms syzygy, meicatecticizant, and tamisage. His articles are still great fun to read.) Here’s some more on Sylvester.
• A Brief History of Linear Algebra and Matrix Theory from Marie Vitulli at Oregon
• The Nine Chapters on the Mathematical Art (Wikipedia)