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Wednesday 25 April. Returned exam 3, discussed course grades and the make-up exams.
Monday 23 April. Exam 3 covered section 4.2, through 6.4, excluding 4.8, 5.4 and 6.3.
Friday 18 April. Reviewed for Exam 3. Per questions, we discussed problems 4.6, 4.11, 5.3, 6.2, 6.3.
Notes last updated Wednesday 18 April at 2pm. Typos fixed in Section 4 through 6 plus some small expository upgrades.
Wednesday 18 April. Section 6.4.
Notes updated Monday 16 April at 12:45pm. Fixed typos in the proof of the second fundamental theorem of calculus.
Monday 16 April. Continue in Section 6. Covered Theorem 6.11, Corollary 6.12, and briefly discussed Subsection 6.3.
Notes updated Friday 13 April at 1:30pm. Fixed typos, including in 4.19, 4.20 and 4.24.
Friday 13 April. Continued in Section 6, from Example 6.7 through Theorem 6.10.
Notes updated Thursday 12 April at 6:55pm. Typos fixed and small expository upgrades in Section 6.
Wednesday 11 April. Homework 12 was due. L’hopital’s rule and began Section 6 up through Lemma 6.6
Monday 9 April. More of Section 5, from Proposition 5.12 through the end of Section 5.3.
Notes updated Friday 8 April at 8:15 pm. Section 6 (Riemann integration) added; some improvements in Section 5.
Friday 6 April. Homework 11 was due. Continued in Section 5, from Proposition 5.4 through Theorem 5.11 (the chain rule).
Wednesday 4 April. Finished Section 4, starting with the proof of Theorem 4.45 (we are omitting the section on Lipschitz continuity). Begin Section 5 up through Example 5.3.
Monday 2 April. Homework 10 was due. Continue in Section 4, starting with Definition 4.37 up through the statement of Theorem 4.45.
Notes updated Sunday 1 April at 2:35pm. Typo patrol in Sections 4.6 and 4.7; problem 4.9 updated (so as not to be redundant); problems added to Section 5.
Friday 30 March. Continued in Section 4, from Proposition 4.31 through Proposition 4.36.
Notes updated Thursday 29 March. Added suggested proof outlines to Problem 4.15. Improvements to Sections 4.4, 4.5 and 4.6.
Wednesday 28 March. Homework 9 was due. Proposition 4.26 through Proposition 4.30.
Notes updated 26 March at 1:05pm. Fixed typos in Example 4.24, added Problems 4.16, 4.17, 4.18, and a few small expository upgrades in Sections 4.3 and 4.4.
Monday 26 March. Section 4.3 up through Example 4.25.
Friday 23 March. Professor Robinson will substitute.
Wednesday 21 March. Exam II covered Sections 2.4-4.1.
Monday 19 March. Reviewed for exam II: Problems 2.5, 2.13, 3.2, 3.6(b), 4.4.
Notes updated Saturday 15 March at 11:25 am. Small upgrades to subsections 4.3 and 4.4.
Friday 16 March. Section 4.2.
Wednesday 14 March. Section 4.1.
Notes updated Tuesday 13 March at 5:05pm. Small expository upgrades in Sections 3.5, 3.6, 4.1 and 4.2.
Monday 12 March. Homework 8 was due. Sections 3.5 and 3.6. Previewed Section 4.
Friday 2 March. Discussed problems 3.3, 3.4, 3.5(a), 3.6(a), 3.7, 3.11.
Notes updated Friday 2 March at 8:45am. Typos fixed and upgrades to the problems in Section 3.
Wednesday 28 February. Subsection 3.4.2.
Notes updated Monday 28 February at 9:05 am. Typos fixed and small upgrades in Sections 3.4.2 and 3.5. Problem 3.15 added.
Notes updated Monday 26 February at 2:05 pm. Typos fixed and some small upgrades and rearranging in Sections 3.4 through 4.1.
Monday 26 February. Homework 7 was due. Continued in Section 3.4 from Definition 3.28 through Example 3.32.
Notes updated Friday 23 February at 12:10pm. Small upgrades and typos fixed.
Friday 23 February. Section 3.3 and began Section 3.4 up through Example 3.27.
Wednesday 21 February. Homework 6 was due. Finished Section 3.2 starting with Corollary 3.11 and begin Section 3.3 through Definition 3.15.
Notes updated Tuesday 20 February at 10:45am. A few small upgrades in Section 3.2. Section 3.3 rearranged.
Monday 19 February. Finished Section 3.1 starting from Example 3.4, and began Section 3.2.
Notes updated Sunday 18 February at 9:15am. A few typos fixed in Sections 3.1 and 3.2. Upgrades and typos fixed in Sections 3.3 and 3.4 up to Section 3.4.1.
Friday 16 February. Homework 5 was due. Covered Section 2.6 and began Section 3.1.
Notes updated Thursday 15 February at 2:55pm. Typos fixed in Sections 3.1 and 3.2.
Wednesday 14 February. Finished Section 2.4 and covered Section 2.5.
Monday 12 February. Continued in Section 2.4, from Example 2.30 through Example 2.35.
Notes updated Monday 12 February. A major upgrade to Section 2.4 plus a few typos and improvements elsewhere.
Friday 9 February. Exam I covered Section 1 and sections 2.1-2.3 in the notes. See the Sample Exam I as well as the course notes, homework and suggested problems.
Extra office hour Thursday 8 February, 3:30-4:30.
Wednesday 7 February. Reviewed for Exam I. There were many good questions.
Notes updated Thursday 1 February at 5:10pm. Added a discussion of at most countable sets and Problem 2.18 (it is suggested).
Monday 5 February. Began Section 2.4 up through Proposition 2.29.
Friday 2 February. Finished Section 2.3 and discussed Problems 22.11 and 22.17.
Wednesday 31 January. Homework 4 was due. Continued in Section 2.3 from Example 2.20 through the statement of Theorem 2.27.
Monday 29 January. Began Section 2.3 up through Theorem 2.19.
Notes last updated Monday 29 January at 2pm. Fixed the typo in the statement of Theorem 2.19.
Friday 26 January. Homeworks 2 and 3 were due. Continued in Section 2, from Example 2.9 through Theorem 2.17.
Notes updated Sunday 28 January at 9:00pm. Typos corrected and expository upgrades in Sections 2.3 and 2.4.
Wednesday 24 January. Began Section 2, covering up through Example 2.8.
Monday 22 January, finished Section 1 starting with Example 1.38(iii). Discussed Problem 1.9.
Notes updated Monday 22 January at 9:15am. Typos fixed, plus some small expository upgrades.
Friday 19 January. Homework 1 was due. Continued in the notes, from Example 1.34 through Example 1.38(ii).
Wednesday 17 January. Continued in the notes, from Example 1.30 through Remark 1.33.
Friday 12 January. Continued in the notes from Example 1.21 up through Remark 1.29.
Notes updated Wednesday 17 January at 3:10 pm. Redid Example 1.30 (there were some issues with the algebra in the original version) and fixed a couple of typos.
Notes updated Tuesday 16 January at 6:15 am. Small correction to the proof of Theorem 1.39 (Bolzano-Weierstrass).
Notes updated Monday 15 January at 4:10pm. Typos corrected and upgrades made in Sections 1.5 and 1.6.
Notes updated 10 January at 1:20 pm. Fixed typos and made a few improvements up through Section 1.4 in the notes.
Wednesday 10 January. Continued in the notes, from Proposition 1.7 through Remark 1.20.
Monday 8 January. Covered up through Remark 1.6 in the notes.
Sunday 7 January at 4:40pm. Notes updated. Typos fixed in Sections 1.1 through 1.4.
Thursday 14 January. Course notes updated.
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