university levels of education Calculus I I
Calculus I, Deep Mastery Series — handmade, no ads, no sign-ups. Every lecture is kept whole and shown whole: nothing is summarised, so what you see is the lecture as it was written. 18,651 words across 25 lectures, from limits and continuity to the Fundamental Theorem of Calculus. Twenty-one ways through the same text, forty-six palettes on a white default with dark a click away, twelve layouts and colours you can set yourself. The mathematics is typeset from the author's own LaTeX, so every formula renders as written.
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Lectures 1–10
Lectures 1 to 10. Functions, Graphs, Domains, and Mathematical Foundations, Limits: The Fundamental Idea of Calculus, Algebraic Techniques for Evaluating Limits, One-Sided Limits, Infinite Limits, Limits at Infinity, and Continuity, The Derivative: Definition, Interpretation, and First Principles and 5 more, ending on Rolle's Theorem, the Mean Value Theorem, Cauchy's Mean Value Theorem, and Applications. 7,278 words across 10 lectures.
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Lectures 11–20
Lectures 11 to 20. Extreme Values, Critical Points, the First and Second Derivative Tests, and Curve Sketching, Optimization: Applications of Derivatives to Real-World Problems, L'Hôpital's Rule, Indeterminate Forms, and Advanced Limit Evaluation, Antiderivatives and Indefinite Integrals, Riemann Sums and the Definite Integral and 5 more, ending on Trigonometric Substitution. 7,593 words across 10 lectures.
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Lectures 21–25
Lectures 21 to 25. Partial Fraction Decomposition, Applications of Integration, Volumes of Solids: Disk and Washer Methods, Volumes of Solids: The Cylindrical Shell Method and Comprehensive Final Review. 3,780 words across 5 lectures.
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The whole course
All 25 lectures, opened without a filter. 18,651 words, 10,635 blocks, 3 tables and 0 paired examples, with a glossary of 13 entries and a search index of 1,434 words. Twenty-one ways through the same text. Six read it — one lecture entire, an index of every lecture number down the left, a reader that hands you a single section at a time, a continuous scroll, an outline of the section headings, and a syllabus of the whole course. Eight take it apart — every Spanish line beside its English, the glossary lifted out of the tables, the tables on their own, flashcards Spanish side first, the practice questions, a drill that pulls a random example in either direction, and the objectives and closing summaries. Seven keep track — homework, cultural notes, an accent-insensitive search across every block, starred lines, a page of your own notes per lecture, a progress board, and a printable handout. Forty-six colour palettes on a white default with dark one click away, eight colour roles editable by hand, twelve page layouts from a narrow reading column through ruled notebook paper and two magazine columns to a monospaced terminal, seven typefaces with a separate face for the Spanish, and sliders for text size, leading and line length. The English can be hidden to read the Spanish cold, or the Spanish hidden to work back the other way. Progress, stars and notes autosave, with JSON export and import.
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