Students who have learned to read and write the basic 2,000 characters run into the same difficulty that university students in Japan face: The government-approved list of basic educational kanji is not sufficient for advanced reading and writing. Although each academic specialization requires supplementary kanji of its own, a large number of these kanji overlap. With that in mind, the same methods employed in volumes 1 and 2 of Remembering the Kanji have been applied to 1,000 additional characters determined as useful for upper-level proficiency, and the results published as the third volume in the series. To identify the extra 1,000 characters, frequency lists were researched and crosschecked against a number of standard Japanese kanji dictionaries. Separate parts of the book are devoted to learning the writing and reading of these characters. The writing requires only a handful of new "primitive elements." A few are introduced as compound primitives ("measure words") or as alternative forms for standard kanji. The majority of the kanji, 735 in all, are organized according to the elements introduced in Volume 1. For the reading, about twenty-five percent of the new kanji fall into "pure groups" that use a single "signal primitive" to identify the main Chinese reading. Another thirty percent of the new kanji belong to groups with one exception or to mixed groups in which the signal primitives have two readings.
That said, the memory pathway should work for reading and writing, that is, recognition and production. I need a further skillset (pronunciation) in order to do that production on a computer, since being able to write individual characters by hand without any knowledge of the words or pronunciation isn't very useful.
The reason I'm putting learn in quotation marks is because afterwards you need to reinforce them in context, ie by learning vocab and doing tons of reading (there's a term called 多読 which means it's not the quality of the material or even your level of comprehension, but just the sheer amount of pages you read).