Math 3200/5200

Slides and handouts

 

Chapter 1: Matrices

 

Chapter 2: Simultaneous Linear Equations

Chapter 2: Simultaneous Linear Equations (cont.)

 

Chapter 3: The Inverse    

 

 Chapter 4: An Introduction to Optimization: handout 1

Chapter 4: An Introduction to Optimization: handout 2 (Important concepts/definitions; graphical solution of LPs; classification of LPs) 

Chapter 4: An Introduction to Optimization: handout 3 (Towards the simplex method; structure of simplex; definition of basic solutions) 

          Chapter 4: An Introduction to Optimization: handout 4 (Details of simplex method) 

Chapter 4: An Introduction to Optimization: handout 5 (only the first slide, tableau notation; the rest is optional) 

     Chapter 4: An Introduction to Optimization: handout 6  (Unbounded problems, Multiple optimal solutions; only the first 3 slides, the rest is optional)

 

Chapter 5: Determinants

Chapter 5: Applications of Determinants

 

Chapter 6: Eigenvalues and Eigenvectors  

 

Markov Chains

Markov Chains - extra problems

Markov chain calculations for the craps example

 

Chapter 10: Real Inner Products and Least-Square (part 1)

Chapter 10: Real Inner Products and Least-Square (part 2)

Chapter 10: Real Inner Products and Least-Square (part 3)