Franz Lemmermeyer

Linear Algebra

Schedule

  TU  9:40 - 10:30, EB 103
  TH 10:40 - 12:30, EB 103

My grader this semester is Pinar Pekcagliyan.
The book we will use is Kolman and Hill, Elementary Linear Algebra. There will be two midterms, a final, quizzes, and homework.

Topics

Vector spaces.
Linear independence, bases
Coordinates
Inner products
Linear Maps
Eigenvalues, eigenvectors
Determinants
Orthogonal Bases

Homework

Homework is always due one week after hand-out except when stated otherwise. Solutions will be posted after all students have turned their homework in.

Th 15.09.05 problems solutions
Th 22.09.05 problems solutions
Th 29.09.05 problems solutions
Th 06.10.05 problems solutions
Th 27.10.05 problems solutions
Th 10.11.05 problems solutions
Tu 22.11.05 problems solutions
Tu 06.12.05 problems solutions

Extra Problems

Here are some extra problems For practicing simple proofs.

Schedule

I will not be able (nor do I want to) tell you everything in class that is in the book. It would help (you) if you came to class prepared: this means reading the part of the book I intend to cover. Since I only have the 7th edition, the numbering of the chapters may differ (in the 8th edition, Chapter 1 is split into two chapters, and Chapter 2 has therefore become Chapter 3).

Tu 13.09.05: vectors, vector spaces (2.1-2.2)
Th 15.09.05: subspaces, span 2.3 (2.4)
Tu 20.09.05: 2.4
Th 22.09,05: isomorphisms
Tu 27.09.05: isomorphisms
Th 29.09.05: test (solutions), matrices
Tu 04.10.05: linear systems
Th 06.10.05: rank of matrices, null space
Tu 11.10.05: examples; applications
Th 13.10.05: the dot product (not part of midterm 1)
Tu 18.10.05: review
Th 20.10.05: Midterm I, 10:40, usual class room. Here are lists of problems from the book (7th and 8th ed.) you should be able to do. Here is last years midterm 1 and the solutions to problems 2 and 4.
Here are the midterm and the solutions.
Tu 25.10.05: discussion of midterm 1; inner product spaces.
Th 27.10.05: inner product spaces; Gram-Schmidt
Tu 01.11.05: orthogonal complements
Th 03.11.05: NO CLASS
Tu 08.11.05: direct sums; Fourier analysis
Th 10.11.05: Kernel and image (range) of a linear map
Tu 15.11.05: projections; complex vector spaces
Th 17.11.05: Determinants
Tu 22.11.05: Determinants
Th 24.11.05: Eigenvalues
Mo 28.11.05, 5:40 Problem Session
Tu 29.11.05: Eigenvalues
Th 01.12.05: Midterm 2 (inner product spaces, linear maps, determinants). Here is last year's exam (now including hints). For the solutions, see Degtyarev's page. Here are the midterm and the solutions.
Tu 06.12.05: Discussion of midterm 2
Th 08.12.05: No Class Moved to Mo, 28.11.05, 17:40
Tu 13.12.05: Eigenvectors
Th 15.12.05: Diagonalization
Mo 19.12.05, 10:40 - 12:30; Last Class. Here are a few Problems
Su 25.12.05, 15:30 - 17:30 FINAL in SAZ-04, SAZ-18 (CHANGE OF SCHEDULE!) Here are the solutions. The average was 52; if I disregard the three exams with only the names on them, it is 57.