Matlab tutorials

1. Mathworks Matlab tutorials with videos (you will need to register yourself to see these).
   1. http://www.mathworks.com/academia/student_center/tutorials/register.html
   2. http://www.mathworks.com/academia/student_center/tutorials/computational-math-tutorial.html
2. Introduction to Matlab. Click on these links to access the tutorials.
   1. matlab_intro_part_1.beamer
   2. matlab_intro_part_1.article
   3. matlab_intro_part_1_assignment
   4. make_all
3. Advanced Matlab
   1. MATLAB_Introduction_Part_2_Slides
   2. MATLAB_Introduction_Part_2_Handout
   3. MATLAB_Introduction_Part_2_Assignment
   4. MATLAB_Introduction_Part_2_Solution
4. Nonlinear algebra
   1. non-linear-algebra-primer (the m-files are embedded in the presentation).
   2. Tolerances in root finding
   3. Solving equations with integrals in them
   4. Method of continuity (1, 2)
5. Differential Equations
   1. ODEs
      1. Simple examples: 1, 2, 3
      2. Evaluate an ODE solution at a specific value
      3. Stop an ODE integration at a specific condition
      4. Finding minima and maxima in an ODE solution
      5. Setting error tolerances on ODE solver
      6. Nth order ODES
         1. Solving a second order ODE
         2. Discontinuous forcing function
      7. Systems of ODEs
         1. Phase portrait
   2. Boundary value problems
      1. Shooting method, application to catalysis
      2. Finite difference approach to linear BVPs
      3. Builtin solver examples
         1. Fluids example
         2. Steady state heat conduction
   3. Partial differential equations
      1. transient heat conduction
      2. Method of lines
   4. Delay differential equations
      1. example 1
6. Data analysis and statistics
   1. simple statistics
   2. Numerical error propagation
   3. Fitting a line to data (polyfit, linear algebra)
   4. Linear regression with confidence intervals
   5. Nonlinear regression
      1. by minimizing the summed squared errors
      2. Nonlinear regression with confidence intervals
      3. multivariate nonlinear regression
   6. Fitting a numerical ODE solution to data
   7. Model selection/evaluation