# CLP-3 Multivariable Calculus textbook

- August 27, 2021 - Added, in Section 1.2, the definition of the component of one vector in the direction of another vector.
- July 30, 2021 - Tweaked Definition 1.8.1.
- July 10, 2021 - Added a subsection on 2d integrals of odd/even functions.
- May 25, 2021 - Typo correction in Example 1.7.4.
- May 17, 2021 - Typo correction in Example 1.4.7.
- January 18, 2021 - Added an appendix giving the ISO coordinate system notation.
- November 22, 2020 - Minor tweaks and typo corrections to Chapters 2 and 3.
- November 11, 2020 - Cleaned up and expanded Example 2.2.13 a bit.
- November 9, 2020 - Colourized Example 1.6.10.
- November 8, 2020 - Tweaked and coordinated the proofs of Theorem 1.2.23 and Lemma 1.2.27.
- November 4, 2020 - Added an example on hidden-surface elimination to Section 2.5.
- November 2, 2020 - Typo correction in Example 3.7.5.
- October 24, 2020:
- Extended the last paragraph of Example 2.1.9 a bit.
- Added a paragraph to Example 2.2.7
- Corrected the end of Example 2.2.8.

- October 23, 2020 - Tweaked Definitions 2.1.2, 2.1.3, 2.1.5.
- October 21, 2020 - Made the level curve and surface material into its own subsection.
- October 20, 2020:
- Added an example of derivatives of vector products to Section 1.6.
- Added an example of velocity and acceleration to Section 1.6.
- Added eight sketches to Section 1.7.

- October 19, 2020:
- Correction in Apendix G.
- Added five curve parametrization examples to Section1.6.

- October 17, 2020 - Added two cross product examples to Section 1.2.
- October 16, 2020 - Typo corrections in Example 3.1.15.
- October 15, 2020:
- Added three examples to Section 1.1.
- Added motivation for the definitions of addition and scalar multiplication at the beginning of Section 1.2.1.
- Added a preview paragraph as the second paragraph of Section 1.2.2.

- October 13, 2020 - Minor expansion to the description of 2d coordinates in Section 1.1.
- September 26, 2020 - Typo correction in Example 2.5.3.
- July 20, 2020 - Typo correction at the beginning of Section 1.8.
- June 23, 2020 - Typo correction in Example 3.4.6.
- June 13, 2020 - Typo correction shortly before Example 2.10.3.
- March 13, 2020 - Wording tweak in Section 3.6.1.
- February 12, 2020 - Minor typo corrections.
- February 1, 2020 - Tweaked Lemma 1.6.7.
- December 3, 2019 - Various typo corrections.
- November 20, 2019 - Added an example to section 3.5. Expanded Example 2.9.24 and Theorem 3.1.6. Various typo corrections.
- October 23, 2019 - Added an example to section 2.9.1. Various typo corrections.
- October 10, 2019 - Various typo corrections.
- September 29, 2019 - Added the tree chain rule mnemonic to section 2.4.1.
- September 28, 2019 - Added an optional example to 2.2.
- September 25, 2019 - Added an optional example to 2.2. Expanded Examples 2.2.5, 2.2.9 a bit. Various typo corrections.
- September 18, 2019 - Added examples to 1.4 and 1.5. Various other tweaks.
- September 16, 2019 - Minor wording changes in 2.4.3 and Warning 2.9.5.
- September 15, 2019 - Adjusted the discussion of partial derivative notation in 2.2.
- September 15, 2019 - Added an example to 1.2.5. Also minor typo corrections.
- September 11, 2019 - Added a definition to 1.2.1 and examples to 1.2.1, 1.2.2 and 1.2.5. Also minor typo corrections.
- August 20, 2019 - Minor typo correction at the end of the proof of Theorem 2.10.8
- June 26, 2019 - Many misc minor changes (thanks to all those who reported bugs)
- Added examples to 1.4, 1.5 and 2.2.
- Added more inverse trig to appendix.
- Many minor typos corrected.
- More formal defn and change of variable formulae for cylindrical and spherical coords.
- Correction of absolute values in derivative/integral tables

- December 31, 2018 - minor corrections and added three examples to Section 1.7.
- August 15, 2018 - Initial upload.

# CLP-3 Multivariable Calculus problem book

- June 6, 2021 - Typo correction in Section 2.10 A[27].
- June 1, 2021 - Typo correction in Section 2.5 S[17c].
- January 26, 2021: Added a couple of problems to Sections 1.4 and 2.2.
- January 21, 2021: Added some problems to Sections 1.1, 1.2 and 1.4.
- October 25, 2020: Added the definition of gradient to Section 2.4 Q[22].
- October 13, 2020: Modified the isobar question of Section 1.1 and moved it to Stage 3.
- September 24, 2020 - Minor expansion to Section 1.2 S[14].
- June 6, 2020 - Typo correction in Section 3.1 S[4].
- June 5, 2020 - Updated licensing statement.
- March 6, 2020 - Expanded Q[1] in Section 3.1 and moved part to Section 3.3.
- February 6, 2020 - Typo corrections in Section 2.1.
- December 30, 2019 - Typo correction to Section 2.4 Q[9].
- December 9, 2019:
- Problem added to 2.4.
- Various typo corrections in 2.4, 3.5, 3.6, 3.7.
- Corrected and expanded the solution to Q[18] in 3.5.

- October 23, 2019 - Wording tweak in 3.7.
- October 7, 2019 - Various typo corrections in 2.10, 3.1, 3.2.
- September 25, 2019 - Typo corrections and wording tweaks in 2.4, 2.5, 2. 6.
- September 18, 2019 - Typo corrections in 1.1, 1.4, 1.5, 2.5.
- August 29, 2019:
- minor corrections to 3.1, 3.2, 3.3, 3.4, 3.5
- solutions to 2.7 Q[16] and 3.2 Q[23] expanded
- duplicate exercise eliminated from 3.1

- August 20, 2019 - Problems added to 1.5, 1.7, 2.6, 2.10, 3.1, 3.2
- August 20, 2019 - typo corrected in 2.9
- June 26, 2019 - Many misc minor changes (again - thanks to all those who reported bugs)
- Misc typos corrected
- Added problems to 1.3, 1.4, 1.5, 1.7, 2.1, 2.2, 2.5, 3.4 (and moved a problem from 2.1 to 3.7)
- Hints added to some questions in 1.4
- Reworked text in section 1.5, and solutions in 2.4.

- April 29, 2018 - Early draft uploaded.