Lecture notes




  1.    Lecture I      -   Introduction to vector spaces.  


  2.    Lecture II     -   Algebra of matrices and systems of linear equations.


  3.    Lecture III    -   Representation of vector spaces and subspaces.


  4.   Lecture IV   -   Linear applications.


  5.    Lecture V    -   Bilinear forms and orthogonality.


  6.    Lecture VI   -   Self-adjoint and unitary operators.


  7.   Lecture VII  -   The Jordan canonical form.


  8.   Lecture VIII -   Introduction to differential equations and dynamical systems.

 

  MAt 204 - Advanced Linear Algebra with applications

(Fall 2006 - Princeton University)

Instructor:  Alfonso Sorrentino

 BackTeaching.html

This course is a quite rigorous introduction to the foundations of linear algebra, both with emphasis on proofs and applications to different fields. Topics include: Vector spaces, matrices, systems of linear equations, linear transformations, eigenvalues and eigenvectors, bilinear forms, inner products, orthogonality, self-Adjoint and unitary operators, Jordan Canonical form and applications to differential equations.


Textbook: Linear Algebra with applications, Gilbert Strang (Fourth edition)

Syllabus  (pdf)


Classes:           Monday, Wednesday & Friday, 9 - 10 am  (Fine Hall 322)

Office hours:     Wednesday & Thursday, 5.30 - 6.30 pm (or by appointment)

 

Homeworks

 


  1.    HW 1  

  2.    HW 2

  3.    HW 3

  4.    HW 4  

  5.    HW 5

  6.    HW 6

  7.    HW 7  

  8.    HW8

  9.    HW 9

 
  

Quizzes

 


  1.    Quiz 1  

  2.    Quiz 2

  3.    Quiz 3

  4.    Quiz 4

  5.    Quiz 5  

 
   

Exams

 


  1.    Midterm  

  2.    Final  

 
        

Various

 


  1.     First-day questionnaire

  2.     Fake Midterm         Fake Final