8  Notions of Error

• Error, uncertainty, etc - known unknowns vs unknown unknowns
• Sources of error
• Models of error (worst case, statistical, etc)
• Relative and absolute errors
• Mixed error
• Propagation of error
• Sensitivity and conditioning
• Forward, backward, and residual error
• Applications in data analysis

“Explanatory, not exculpatory” Floating point is not everything!

Testing and debugging numerical codes - Testing vs debugging (draw a picture) - Support for approx, testing framework in the standard library - Random tests and hard tests - Testing from the ground up - It’s not all floating point! - Saving random seeds