Part I: Start here
How learning works, how to use AI without losing the skill, and how to plan a path that fits your week.
- LMHow to learn: the session loop, error families, and AI without losing the skill5 exercisesName the four common error families and the countermeasure for each; run the learning loop in every session; keep an error log that decides what you review and when; use AI help without it becoming a crutch.
- Plan your pathThis book holds a core path (Parts II–IX) and five frontier tracks (Parts X–XIV). Most readers follow one main path, often beside a course or a job, and add one or two tracks. Each track’s route chapter plans its own pace as…
- Course coverage mapThis map shows where this book teaches the standard topics of common university courses. Use it to study alongside a course, to prepare for one, or to fill in what a course you took left out. The topic lists follow common…
- Prerequisite diagnostic and repair map16 exercisesTry all sixteen questions before opening the solutions. There is no speed requirement. Use ordinary arithmetic without a symbolic solver; sketch when useful. Questions D.14–D.16 probe the transition into calculus, so “not yet…
- Computing diagnostic and gap-specific repair map12 exercisesAttempt these without running code or opening solutions first. Then verify executable predictions where appropriate. “Not learned yet” is a valid response. These twelve tasks complement the sixteen mathematics diagnostic…
- chapter
- workshop: connects two subjects
- checkpoint, review or assessment