Math 3200/5200: Applied Linear Algebra

 

·    The Final Exam is on Monday, December 9 at 10:10 am. The exam is comprehensive. Closed book, closed notes, one sheet of reminders is allowed.

 

·    Test 3 is on Friday, November 22 at class time. It will cover Eigenvalues and Eigenvectors (Chapter 6), Markov Chains (Sections 1.1, 1.6, 6.3, 9.4), and Real Inner Products (Sections 10.1-10.3). The test is closed book, closed notes.

 

·   Test 2 is on Monday, October 21 at class time. It will cover chapters 4, 5 of the textbook. The test is closed book, closed notes.

 

·     Test 1 is on Wednesday, Sept. 18 at class time. It will cover Chapters 1, 2, 3 of the textbook. The test is closed book, closed notes.

 


 

Class Materials


 

Links to online rooms

Melkonian Office Hours Room in Microsoft Teams


 

Linear Algebra links

·      History of matrices

·      Online matrix calculator

 

·    Linear Optimization with Applications

·      John Mitchell's Optimization Pointers

·      Applications of Linear Programming in Civil and Environmental Systems Engineering

·      Optimization of cable robots (application in Mechanical Engineering)

·      Applications of Linear Programming (includes applications in Finance, Scheduling, Chemical Engineering)

 

 ·   Operations Research (includes Optimization) among best STEM jobs

 

 ·   Top ten algorithms of the 20th century

 

 ·      Determinants (from Wikipedia)

·    Determinants and their applications (powerpoint slides)

·    Applications of determinants (area of a triangle, etc.)

·      Unimodular and totally unimodular matrices

 

·      Linear Transformation Matrices

·      Eigenvalues and Eigenvectors

·      Applications of Matrices in Computer Graphics

·      Eigen decomposition of matrices

 

 ·      Markov Chains  (chapter from another textbook)

·      Markov Chains and applications in Genome Search (powerpoint slides)

 

·      Solving a regression problem by linear programming