Life
In which city was Cauchy born?
Paris
What does the IVT proved by Cauchy apply to?
Continuous functions
What is a Cauchy sequence?
A converging sequence
What job did Cauchy have before becoming a professor?
Engineer
Cauchy was the first to provide complete proofs of?
Antiderivative part and Evaluation part of the FTC
When should the stronger form of l'Hopital's Rule be used?
When f’(a) = g’(a) = 0 after using l'Hopital's Rule once already (when the limit keeps falling into the indeterminate form 0/0)
Which 2 other mathematicians did Cauchy/his family have relations with?
Laplace, Lagrange
Where were Cauchy's proofs of the FTC and IVT found?
Cours ď Analyse De L'École Royale Polytechnique (textbook for his students at the university)
Name at least one application of converging series.
Population trends, spread of a disease, time it takes for a bouncing ball/pendulum to come to a rest, fatigue loading, etc.
Question will be written on the board
Convergent