university levels of education Calculus II II
Calculus II, 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. 17,953 words across 25 lectures, from techniques of integration to power series and Taylor expansions. 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. Infinite Sequences and Their Limits, Infinite Series, Sigma Notation, Geometric Series, and Telescoping Series, Convergence Tests I: Divergence Test, Integral Test, Comparison Tests, and Cauchy Condensation, Ratio Test, Root Test, Absolute & Conditional Convergence, and Alternating Series, Power Series, Radius of Convergence, and Interval of Convergence and 5 more, ending on Vectors and Vector-Valued Functions. 6,635 words across 10 lectures.
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Lectures 11–20
Lectures 11 to 20. Applications of Infinite Series, First-Order Differential Equations, Applications of First-Order Differential Equations, Second-Order Differential Equations, Nonhomogeneous Second-Order Differential Equations and 5 more, ending on Sequences and Series of Functions. 7,043 words across 10 lectures.
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Lectures 21–25
Lectures 21 to 25. Fourier Series in Depth, Multiple Integrals, Vector Calculus and Line Integrals, Surface Integrals and the Fundamental Theorems of Vector Calculus and Comprehensive Course Review and Final Examination Preparation. 4,275 words across 5 lectures.
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The whole course
All 25 lectures, opened without a filter. 17,953 words, 10,050 blocks, 2 tables and 0 paired examples, with a glossary of 9 entries and a search index of 1,621 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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