CLP-2 Integral Calculus textbook

• 2024 August 15 - Updated the copyright dates.
• 2024 May 26 - Typo correction in Appendix A.9.
• 2024 April 17 - Typo corrections in Section 1.11.4.
• 2024 April 7 - Typo correction in Example 3.1.11.
• 2024 March 24 - Typo correction just after Definition 1.12.4.
• 2024 March 17 - Typo correction in Example 1.6.9.
• 2024 February 21 - Typo correction in Section 1.11.4.
• 2024 February 18 - Tweaked the title of Chapter 3.
• 2024 February 18 - Typo correction in Example 2.4.13.
• 2024 February 12 - Expanded Example 1.9.7 slightly.
• 2024 January 29 - Typo correction in Equation 1.10.11.
• 2024 January 13 - Typo correction in Example 1.1.18.
• 2024 January 12 - Typo correction at the end of Section 1.1.3.
• 2023 December 26 - Expanded Section 1.12 slightly.
• 2023 December 4 - Added two examples at the end of Section 3.2.
• 2023 December 4 - Expanded Definition 3.2.3 slightly and added one paragraph after it.
• 2023 December 4 - Typo correction in Example 2.4.15.
• 2023 October 11 - Typo correction in Example 3.4.5.
• 2023 September 24 - Expanded Section 1.8.2 slightly.
• 2023 August 23 - Tweaked Sections 1.1 and 1.2 to align the numbering between the html and pdf versions.
• 2023 August 4 - Typo correction in Theorem 1.12.22.
• 2023 May 13 - Renamed Section 3.5.1.
• 2023 May 13 - Deleted a footnote in the “proof” of Theorem 1.3.1.
• 2023 April 9 - Typo correction in Example 3.6.10.
• 2023 March 28 - Typo correction in Example 3.5.17.
• 2023 February 22 - Typo correction in Example 1.5.3.
• 2023 January 30 - Added missing hypothesis in Theorem 1.4.10.
• 2023 January 30 - Small notation change in the footnote just before Example 1.9.7.
• 2023 January 30 - Spelling correction in the footnote in Example 1.9.5.
• 2023 January 17 - Wording improvement in the footnote in Lemma 1.3.8.
• 2023 January 11 - Typo correction in Example 1.8.18.
• 2023 January 4 - Tweaked Theorem 3.3.5.
• 2022 November 28 - Four minor typo corrections.
• 2022 November 12 - Typo correction in Theorem 3.2.8.
• 2022 September 8 - Typo correction in Example 2.4.14.
• 2022 August 7 - Typo correction in Definition 1.11.4.
• 2022 May 28 - A few typo corrections.
• 2022 April 28 - Added a historical footnote to Example 1.8.19.
• 2022 April 15 - Typo correction in Example 2.1.6.
• 2022 April 1 - Typo correction in Example 3.3.4.
• 2022 March 2 - Typo correction in footnote 10 in Example 2.1.4.
• 2022 January 26 - Typo correction in Example 1.6.1.
• 2022 January 22 - Typo correction in the proof of part 1 of Theorem 1.3.1.
• 2021 October 21 - Typo correction in Example 1.10.3.
• 2021 August 21 - Corrected a table in section 1.11.4.
• 2021 July 21 - Added an optional subsection to the end of section 3.6.1.
• 2021 July 21 - Extended the subsection of Section 2.2 entitled Return to the Mean Value Theorem.
• 2021 May 12 - Added a figure to Example 3.2.4.
• 2021 May 4:
  • Fixed a bug that affected about a dozen footnotes.
  • A few typo corrections.
  • Notation change in Examples 3.3.23 and 3.3.26.
  • Added a footnote concerning asymptotic expansions at the beginning of Section 3.3.
• 2021 April 14 - Typo correction in Example 3.3.23.
• 2021 April 12 - Added an appendix on numerical solution of ODE’s.
• 2021 April 2 - Added an appendix on numerical integration.
• 2021 March 31 - Half a dozen English typo corrections.
• 2021 March 31 - Added an appendix on complex numbers and exponentials.
• 2021 March 5 - Added a forward reference to Section 1.9 at the end of Section 1.4.
• 2021 February 27 - Typo correction in Example 1.10.2.
• 2021 February 24 - Typo correction in Section 1.1.10.
• 2021 January 17 - Typo correction in Section 1.1.6.
• 2020 December 29 - Typo correction in Example 1.1.12.
• 2020 December 15 - Typo correction in Example 1.2.10.
• 2020 August 18 - Cleaned up some bracket sizing in Section 1.8.2.
• 2020 April 26 - Updated copyright years.
• 2020 April 18 - Tweaked Theorem 1.2.12
• 2020 April 12 - Typo correction in Theorem 1.12.17
• 2020 March 8 - Typo correction in Example 1.12.8
• 2020 March 6 - Typo correction in Section 3.3.9
• 2020 February 20 - Typo corrections a bit before Notation 1.11.1
• 2020 January 4 - Added example to Section 1.8
• 2019 December 30 - wording tweak following Squation 1.1.3.
• December 26, 2019:
  • Misc minor typo fixes.
  • Added a really optional subsection to section 1.10.3.
• August 20, 2019 - Misc changes
  • footnote tweaked in 1.10.3
  • Some “CLP-I” to “CLP-1” changes
  • fixed formatting errors in “contrapositive” footnote in 3.3.1
  • title capitalisation
• June 26, 2019 - Small additions to sections 1.8, 1.9. Expanded discussion of handling of sec substitution in section 1.9. Minor tweak to beginning of section 2.4. Added more inverse trig functions to Appendix.
• April 29, 2019 - Recompiled and uploaded
• April, 2019 - Minor corrections from the bug bounty errata.
• December 30, 2018 - Minor corrections from the bug bounty errata.
• January 16, 2018 - Corrected some typos
• December 18, 2017 - Added (optional) Section 3.3.7
• September 9, 2017 - Added Examples 2.3.1 and 2.3.2.
• April 6, 2017 - Added Example 3.5.17.
• March 24, 2017 - Corrected some typos and added Example 3.3.17.
• March 21, 2017 - Corrected some typos and added Example 3.5.7.
• March 14, 2017 - Corrected a figure in the proof of Theorem 3.3.5 (The Integral Test).
• March 14, 2017 - Very minor wording tweaks to Example 3.3.10, Section 3.3.4 and Theorem 3.5.12.
• March 9, 2017 - Corrected some typos. Also made two notation changes: in Theorem 3.2.8, A and B were replaced with S and T, and, in Section 3.3.4, an was replaced with An.
• February 28, 2017 - Added new Examples 2.3.3 and 2.4.2.
• February 27, 2017 - Corrected some typos.
• February 21, 2017 Polished Sections 3.4 through 3.6. Added optional Sections 3.3.8, 3.6.3, 3.6.4, 3.7. Added optional example 3.4.6.
• February 15, 2017 - Corrected some typos. Added Example 2.1.6 to the section on work. Polished Sections 3.3.2 through 3.3.6. Added optional Sections 3.3.7 on the root test and 3.3.9, which contains proofs of some convergence tests. Polished Section 3.4 and added example 3.4.6.
• February 11, 2017 - Corrected some typos. Polished Section 3.3.1. Added an optional Section 3.7 on harmonic and Basel series.
• January 27, 2017 - Corrected some typos. Polished the beginning of Chapter 3, to the end of Section 3.2. Added an optional Section 3.8 on rational and irrational numbers.
• January 12, 2017 - Corrected a typo in Example .1.3.6 and extended footnote 31 in Example 1.3.13.
• January 5, 2017 - Added a subsection heading just before Example 1.1.18.
• December 28, 2016 - Added one paragraph just before Theorem 1.1.5.

CLP-2 Integral Calculus problem book

• 2024 August 15 - Updated the copyright dates.
• 2024 July 27 - Typo correction in S-1(b) of Section 2.4.
• 2024 April 21 - Typo correction in S-27 of Section 3.5.
• 2024 April 19 - Typo correction in S-35 of Section 3.3.
• 2024 April 19 - Typo corrections in S-53 of Section 3.6.
• 2024 April 17 - Typo correction in S-27 of Section 3.5.
• 2024 April 17 - Modified [Q4(c)] of Section 3.6.
• 2024 March 30 - Expanded S-5(d) of Section 3.3 a bit.
• 2024 March 19 - Typo correction in S-6 of Section 1.7.
• 2024 March 17 - Typo correction in S-17 of Section 1.5.
• 2024 March 11 - Typo correction in S-33 of Section 1.11.
• 2024 March 11 - Tweaked A-23(c) and S-23(c) of Section 1.11.
• 2024 January 22 - Correction in S-3(a) of Section 1.2.
• 2024 January 2 - Typo correction in S-15 of Section 1.11.
• 2023 December 26 - Tweaked a few solutions in Section 1.12 based on the slight expansion of Section 1.12.
• 2023 December 18 - Enlarged a number of the solutions in Section 3.5.
• 2023 November 29 - Added a part (b) to Q[12] of Section 3.5.
• 2023 November 28 - Wording improvement in S-4 of Section 3.5.
• 2023 November 28 - Typo correction in S-14 of Section 3.4.
• 2023 November 9 - Wording improvement in S-18 of Section 3.2.
• 2023 October 16 - Typo correction in Q[9] of Section 2.1.
• 2023 October 4 - Wording improvements in Q[4,6,8,9,14] of section 1.5.
• 2023 October 4 - Spelling correction in Q[16] and S[16] of section 1.6.
• 2023 September 24 - Wording tweak in S[6] of section 1.12.
• 2023 August 27 - Typo correction in Q[24] of Section 3.5.
• 2023 July 24 - Typo correction in Q[3] of Section 2.4.
• 2023 June 17 - Typo correction in S-19 of Section 1.4.
• 2023 April 9 - Various typo corrections and wording improvements to Q[8], S-8, Q[9] and S-9 of Section 3.1.
• 2023 February 22 - Adjusted Q[23] and expanded S-23 of Section 1.13.
• 2022 December 10 - Expanded Q[3] of Section 3.6.
• 2022 November 29 - Expanded S-1 and S-2 of Section 3.5.
• 2022 November 28 - Minor typo correction.
• 2022 November 8 - Expanded S-7 of Section 3.1.
• 2022 October 20 - Wording improvements to Q[2] and Q[5] in Section 2.3.
• 2022 September 23 - Expanded S-22 of Section 1.13.
• 2022 September 23 - Tweaked H-24 of Section 1.13.
• 2022 May 28 - Typo correction in S-22 of Section 1.12.
• 2022 April 18 - Expanded S-28 in Section 3.2.
• 2022 April 14 - Wording clarification in Q[20] of Section 1.6.
• 2022 April 13 - Typo correction in Q[7] of Section 3.2.
• 2022 March 23 - Tweaked Q[5], Q[6] and S-5 of Section 2.3.
• 2022 March 17 - Typo correction in S-30 of Section 2.3.
• 2022 March 17 - Typo corrections in S-17 of Section 2.3 and S-11 of Section 2.4.
• 2022 March 15 - Typo correction in S-1 of Section 1.8.
• 2022 March 13 - Typo correction in S-29 of Section 3.1.
• 2022 March 2 - Expanded S-9 in Section 1.5.
• 2022 February 13 - Expanded S-24 in Section 1.9.
• 2022 February 9 - Typo correction in S-7 of Section 1.5.
• 2022 February 8 - Expanded S-15 in Section 1.8.
• 2022 February 6 - Typo correction in Q[49(a)] of Section 1.3.
• 2022 January 16 - Typo correction in S-10(b) of Section 1.1.
• 2022 January 13 - Typo correction in Q[36] of Section 1.1.
• 2021 November 8 - Typo correction in Q[29] of Section 3.1.
• 2021 October 30 - Typo correction in Q[8] of Section 1.9.
• 2021 September 24 - Corrected A-5(d) and S-5(d) of Section 1.10.
• 2021 April 27 - Simplified S-12 in Section 3.4.
• 2021 April 25 - Simplified S-6 in Section 3.4.
• 2021 April 19 - Typo correction in A-23 and S-23 of Section 3.5.
• 2021 April 19 - Expansion of S-1(c) in Section 3.3.
• 2021 April 12 - Typo correction in S-14 of Section 3.4.
• 2021 April 9 - Typo correction in S-14 of Section 3.1.
• 2021 April 9 - Tweaks to Q[7] and Q[13] of Section 3.1.
• 2021 March 31 - Typo corrections in Q[12] of Section 1.6 and S-24 of Section 1.9.
• 2021 March 23 - Clean up of Q[6] of Section 2.3.
• 2021 March 23 - Typo correction in A-21 of section 3.3.
• 2021 March 3 - Typo corrections in S-9 and S-10 of section 1.9 and S-3 of section 1.13.
• 2021 March 3 - Typo correction in H-19 and S-19 of section 1.8.
• 2021 March 1 - Typo correction in Q[3] in Section 1.6.
• 2021 February 27 - Typo correction in S-8(b) in Section 2.1.
• 2021 February 24 - Slight expansion of S-1(b), (c) in Section 1.9
• 2021 February 24 - Typo corrections in S-9 of Section 1.12 and Q[1], S-1, S-4, S-15(d) of Section 1.13
• 2021 January 15 - Typo correction in A-26 of Section 1.1
• 2020 December 4 - Corrected S-53 of Section 3.3
• 2020 October 5 - Typo corrections in S-5 and S-33 of Section 3.3
• 2020 May 1 - Minor expansion of Q[39] of Section 1.3
• 2020 April 29 - Expanded A-5 and S-5 of Section 1.4
• 2020 April 26:
  • Updated copyright years.
  • Expanded A-8a and S-8a of Section 1.
• 2020 April 15 - Typo correction in S-24 of Section 2.4
• 2020 March 30 - Clarified Q[44] and S-44 of Section 3.3
• 2020 March 12 - Typo correction in A-2c and S-2c of Section 2.4
• 2020 March 3 - Typo correction in A-11 and S-11 of Section 1.11
• 2020 February 10 - Typo correction in S-23 of Section 1.7
• 2020 January 13 - Typo correction in A-5 of Section 1.10.
• December 26, 2019:
  • Misc minor typo fixes and other changes.
  • Added a really optional subsection to section 1.10.3.
  • Expanded solutions S-9 of section 3.1 and S-9, S-10, S-21 of section 3.6.
• August 20, 2019 - Problem added to 1.7, typo correction in Q13 in 1.3
• June 26, 2019 - Minor typo fix in section 2.1. Changes to handling of absolute values in section 1.9 and added a few explanations of why its okay to drop the absolute values in some questions.
• April 29, 2019 - Recompiled and uploaded
• April, 2019 - Minor corrections from the bug bounty errata.
• December 30, 2018 - Minor corrections from the bug bounty errata.
• January 22, 2018 - Minor corrections.
• January 16, 2018 - Major upgrade to Section 3.6
• December 18, 2017 - Major upgrade to Sections 1.1 through 3.5
• April 17, 2017 - Corrected some typos.
• April 13, 2017 - Corrected some typos.
• March 7, 2017 - Corrected some typos.
• February 20, 2017 - Removed a redundant problem from Section 1.5 and a redundant problem from Section 2.4. Also corrected a typo in the answer and solution to problem 2 in section 2.1.
• January 31, 2017 - Corrected the answer and solution to Q[15] of Section 1.6.
• January 20, 2017 - Corrected a typo in Q[2] of Section 1.1. Also tweaked the solution.
• January 8, 2017 - Extended the solution to Q[14] in Section 1.1.
• January 4, 2017 - Corrected some typos.

CLP-2 Integral Calculus combined text

• May 13, 2023 - Clarified Definition 1.1.8.
• May 13, 2023 - Updated the combined version to work with a major upgrade to the PreTeXt publishing software.
• May 28, 2022 - Typo correction in S-29 of Section 2.1.
• February 2, 2021 - Footnote tag correction in Example 1.8.19.
• November 13, 2020: Removed “in the CLP-2 text” a bunch of times.
• 2020 January - April: Misc clean up of pretext code as per changes listed above for text and problem books.
• December 26, 2019:
  • Misc minor typo fixes and other changes.
  • Expanded solutions S-9 of section 3.1 and S-9, S-10, S-21 of section 3.6.
• August 20, 2019 - Misc changes
  • footnote tweaked in 1.10.3
  • typo corrected in title of eqn 2.3.5
  • Some “CLP-I” to “CLP-1” changes
  • fixed formatting errors in “contrapositive” footnote in 3.3.1
  • title capitalisation
  • problem added to 1.7, typo correction in Q13 in 1.3
• June 26, 2019 - Small additions to sections 1.8, 1.9. Expanded discussion of handling of sec substitution in section 1.9. Minor tweak to beginning of section 2.4. Added more inverse trig functions to Appendix. Minor typo fix to exercise in section 2.1. Changes to handling of absolute values in solutions in section 1.9 and added a few explanations of why its okay to drop the absolute values in some questions.
• April 29, 2019 - Recompiled and uploaded
• April, 2019 - Minor corrections from the bug bounty errata.
• December 30, 2018 - Minor corrections from the bug bounty errata.
• January 22, 2018 - Minor corrections.
• January 16, 2018 - Corrected some typos and added exercises for section 3.6.
• December 25, 2017 - Initial public version uploaded.