calculus.qmd

---
title: "Calculus"
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  html: default
  revealjs:
    output-file: calculus-slides.html
  pdf:
    output-file: calculus-handout.pdf
  docx:
    output-file: calculus.docx
---

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The calculus notes are split across these pages:

- [Derivatives and Taylor Series](calculus-derivatives.qmd):
  limits and derivatives, derivative rules, tangent lines, linear approximation,
  and Taylor series.
- [Integrals and the Fundamental Theorem of Calculus](calculus-integration.qmd):
  antiderivatives, regularity conditions,
  and the Fundamental Theorem of Calculus.
- [Double Integrals and Fubini's Theorem](calculus-double-integrals.qmd):
  double integrals over rectangles and non-rectangular regions,
  and Fubini's and Tonelli's theorems.

A link to a section, theorem or definition on this page from before the split
goes on to the page that now holds it.

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{{< include mds/_subfiles/_sec_calculus.qmd >}}

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## Further reading {#sec-additional-resources}

- @mosaiccalc
- @khuri2003advanced
- @calclifesaver
- @larsonCalc11e
- @problifesavercalc
  The calculus review exercises and worked solutions across these pages and in [Vector Calculus](vector-calculus.qmd#def-partial-derivative) are adapted from this supplemental review chapter.
   - <http://www.youtube.com/watch?v=xYzQL0TUtBA>
   - <http://www.youtube.com/watch?v=Ps2SBo_WjoE>
- @realanalysislifesaver (the rigorous foundations behind these results)
- [Essence of Calculus](https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr)
  is a 12-video YouTube playlist by Grant Sanderson (3Blue1Brown) that develops geometric and visual intuition for limits, derivatives, product and chain rules, implicit differentiation, integration, and Taylor series.

## References {.unnumbered}

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