Linear Algebra, Autumn '05

Homework and Readings List

The Math Lab will be open from 2 pm to 5 pm Monday through Thursday in Walker 303A. You can walk in and get provide help with math tutoring.

◊ A semester long assignment is to produce a Linear Algebra Concept Map. (An example is my Derivative Concept Map.)
◊ The complete set of slides.

◊ Jump down to 'This Week.'

• Wednesday, Aug 24 &mdash First day of class.
  ¤ Homework 1
  ◊ The Algebraic Structures slides.
  
  
• Friday, Aug 26
  ◊ The Field Properties handout.
  
  

• Monday, Aug 29
  ◊ Since the text isn't in the bookstore yet, here is a scan of §3.1 → 3.3.
  
  
• Wednesday, Aug 31
  ◊ The Vector Space Properties slide.
  ¤ Homework 2
  
  
• Friday, Sept 2
  ◊ The Homomorphisms slide.
  
  

• Monday, Sept 5
  ◊ Labour Day holiday - no class.
  
  
• Wednesday, Sept 7
  ◊ The Subspace slide.
  ◊ The Subpace? graphs.
  
  
• Friday, Sept 9
  ◊ The Operations on Subspaces slide.
  ¤ The Birthday Homework. Due Monday, Sept 12
     Find a mathematician who shares your birthday. Write a paragraph describing their work.
  
  

• Monday, Sept 12
  ◊ The Linear In/Dependence slides.
  
  
• Wednesday, Sept 14
  ◊ The Linear Independence, Spanning, and Basis slides.
  ¤ Prove Theorems 3.3.14 & 3.3.19.
  
  
• Friday, Sept 16
  ◊ The Basis and Dimension, I slides.
  
  

• Monday, Sept 19
  ◊ The Basis and Dimension, II slides.
  
  
• Wednesday, Sept 21
  ◊ The Basis and Direct Sum; Intro to Linear Transformations slides.
  
  
• Friday, Sept 23
  ◊ The R(T) and N(T) slides.
  
  

• Monday, Sept 26
  ◊ The Dimension Theorem slides.
  ¤ The Linear Transformation Project
  
  
• Wednesday, Sept 28
  ¤ A Linear Transformation Project "Solution"
  ◊ The Rank & Nullity; Inverses slides.
  
  
• Friday, Sept 30
  ◊ The Inverses; Transformation Algebras slides.
  
  

• Monday, Oct 3
  ◊ The Transformation Algebras slides.
  ¤ Homework 10_3
  
  
• Wednesday, Oct 5
  ◊ The Linear Functionals slides.
  
  
• Friday, Oct 7
  ◊ The The Space of Linear Functionals slides.
  
  

• Monday, Oct 10
  ¤ Fall Break — Be careful out there!
  
  
• Wednesday, Oct 12
  ◊ The The Algebraic Transpose slides.
  
  
• Friday, Oct 14
  ¤ Math Conferences — no class today
  
  • The NCCTM conference.
  • The AMS Southeast Sectional meeting. (Saturday, Oct 15)
  
  

• Monday, Oct 17
  ◊ The Bilinear Functionals slides.
  
  
• Wednesday, Oct 19
  ◊ The Inner Products slides.
  ¤ Test 1 Minimal Essential Knowledge list.
  
  
• Friday, Oct 21
  ◊ The Inner Product Examples slides.
  
  

• Monday, Oct 24
  ◊ The Projections slides.
  
  
• Wednesday, Oct 26
  ◊ Test today.
     &mdash or is this the test ?  &mdash or perhaps this ?
  ◊ The audio clip.
  
  
• Friday, Oct 28
  ◊ The Eigenvalues (Luke).
  ◊ The Eigenvalues and Differential Equations (Celes).
  
  

• Monday, Oct 31
  ◊ The Vector Spaces & Matrices slides.
  
  
• Wednesday, Nov 2
  ◊ The Rank of a Matrix slides.
  
  
• Friday, Nov 4
  ◊ The Rank & Algebra of Matrices slides.
  
  

• Monday, Nov 7
  ◊ The Similarity & Equivalence slides.
  
  
• Wednesday, Nov 9
  ◊ The Equivalence of Transformations slides.
  ¤ A Maple worksheet.
  
  
• Friday, Nov 10
  ◊ The Determinant: "Work Day" slide.
  
  

• Monday, Nov 14
  ◊ The Towards Invariants slides.
  
  
• Wednesday, Nov 16
  ◊ The Eigenvalues & Diagonalization slides.
  
  
• Friday, Nov 18
  ◊ The "Eigen-basis" Examples slide.
  
  

• Monday, Nov 21
  ◊ The Geometric Multiplicity slides.
  
  
• Wednesday, Nov 16 — Friday, Nov 18
  ¤ Thanksgiving Holidays:

  "President Lincoln proclaimed the last Thursday in November as a national day of Thanksgiving. ... In 1941, Thanksgiving was finally sanctioned by Congress as a legal holiday, as the fourth Thursday in November."

  (See also Harvest festival.)
  
  

• Monday, Nov 28
  ◊ The Jordan Canonical Form slides.
  
  
• Wednesday, Nov 30
  ◊ The JCF Example slides.
  
  
• Friday, Dec 2
  ¤ The Exam.