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More details about Lovelace's homework can be found in this great blog post by Adrian Rice: https://maa.org/press/periodicals/convergence/helping-ada-lovelace-with-her-homework-classroom-exercises-from-a-victorian-calculus-course
Images of the letters are from the Clay Mathematics Institute: https://www.claymath.org/online-resources/ada-lovelaces-mathematical-papers/
Ada Lovelace's notes on the Analytical engine: https://www.fourmilab.ch/babbage/sketch.html
The Bernoulli program as written by Lovelace: https://www.fourmilab.ch/babbage/figures/menat6_2k.png
The Lovelace–De Morgan mathematical correspondence by Hollings, Martin and Rice: https://www.sciencedirect.com/science/article/pii/S0315086017300319
The early mathematical education of Ada Lovelace by Hollings, Martin and Rice: https://www.tandfonline.com/doi/epdf/10.1080/17498430.2017.1325297?needAccess=true
De Morgan's Elements of Algebra book: https://archive.org/details/elementsofalgebr00demouoft/page/226/mode/2up
De Morgan's Differential and Integral calculus book: https://archive.org/details/differentialand00morggoog/page/114/mode/2up