Final answer:
The original sentence provided by the student is correct in capitalization and punctuation and should remain unchanged.
Step-by-step explanation:
The sentence provided by the student is mostly correct in terms of capitalization and punctuation. It should be as follows: Da Vinci considered mechanics "the paradise of the mathematical sciences," because it allows for the practical application of theoretical concepts.
Here, 'Da Vinci' is correctly capitalized as it is a proper noun, and the title 'the paradise of the mathematical sciences' is appropriately enclosed in quotation marks. The comma after 'sciences' is correctly placed outside the quotation marks according to the American style of punctuation.