homework

problems

course notes

term calendar

• Monday 21 April. The End of Course Exam covered Sections 9, 10, 11, 12.
• Notes last updated 18 at 1:40pm. Typos fixed in Sections 15, 16 and 17.
• Some familiar sequences of functions animated.
• Here is the link to the Nebraska Summer Research Program.
• NSF research opportunities (REU)
• Thursday 1 May. Make up exams. 10-11 in LIT219; or 12:30-1:30 in LIT235.
• Office Hours for the remainder of the term.
  Friday 25 April, 12:30-2:00
  Tuesday 29 April, 2-4
  Thursday 1 May, 8:30-9:30.
• Wednesday 23 April. Returned exams. Course grades. Discussed make-up exams.
• Friday 18 April. Exam III covered Sections 15, 16, and the first part of Section 17.
• Wednesday 16 April. Reviewed for Exam III.
• Monday. 14 April. Reviewed for Exam III.
• Notes last updated 16 at 11:25am. Typos fixed in Sections 15 and 16.
• Notes last updated 11 April at 8:20 am. Small improvements and typos fixed in Sections 15, 16 and 17.
• Notes last updated 11 April at 8:20 am. Improvements implemented in Section 17.
• Friday 11 April. Section 17 up to, but not including, Subsection 17.1 and the product rule.
• Wednesday 9 April. Section 16.4.
• Notes last updated 9 April at 8:20 am. Improvements implemented in Section 16.4.
• Monday 7 April. Discussed Problem 16.1 and reviewed the implicit function theorem.
• Notes last updated 05 April at 12:20pm. A few improvements and some typos fixed in Section 16.
• Friday 4 April. Homework 13 was due. A further example of and the proof of the implicit function theorem.
• Wednesday 2 April. Began Section 16.2 on the implicit function theorem.
• Notes last updated 02 April at 12:05pm. A few improvements and some typos fixed in Section 16.
• Monday 31 March. Homework 12 was due. The proof of the inverse function theorem.
• Notes last updated 30 March at noon. Made the suggestion for Problem 15.3
• Friday 28 March. Homework 11 was due. Began Section 16, covering up through the statement of the inverse function theorem and then discussing Example 16.5.
• Wednesday 26 March. Homework 10 was due. Finished Section 15 starting with the proof of Proposition 15.1. Introduced Section 16.
• Notes last updated 28 March at 1:45pm. Fixed more typos in Section 16.
• Notes last updated 28 March at 9:30. Fixed typos in Section 16.
• Monday 24 March. Homework 9 was due. More of Section 15, starting with Example 15.10 and continuing through the statement of Proposition 15.16.
• Friday 21 March. More of Section 15, from the Chain Rule through Corollary 15.9
• Notes last updated 21 March at 1:25pm. Fixed typos in Section 15.
• Wednesday 19 March. Begin Section 15, up through the statement of the chain rule.
• Notes last updated 17 March at 3pm. Fixed typos and some improvements in Section 15
• Monday 17 March. The exam covered Sections 12 and 14.
• Friday 14 March. Reviewed for Exam II. There were many good questions.
• Notes last updated 14 March at 4pm. Fixed typos in Sections 12 and 14.
• Wednesday 12 March. Homework 8 redos are due. Finish Section 14.
• Monday 10 March. Homework 7 redos were due. More of Section 14, from Proposition 14.9 through Theorem 14.14.
• Notes last updated 10 March at 11:18 am. Some improvements in Section 14.
• Notes updated 09 March at 7:10 pm. Fixed some typos in Section 14.
• Notes last updated Saturday 1 March at 9:35 am. Fixed typos and few improvements.
• Friday 28 February. Problem session.
• Wednesday 26 February. Homework 8 and Homework 6 redos were due Covered Section 14.1.
• Monday 24 February. Homework 7 was due. Finished Section 12.
• Notes updated 24 February at 12:35. Fixed some typos and made a few improvements.
• Friday 21 February. Homework 6 was due. Covered up through Lemma 12.21.
• Notes updated 19 February 11:05 am. Fixed numbering problem with the Exercises in Section 12; and upgraded the proof of the Alternating Series Test (in the previous version there was a misplaced pair of absolute value signs); added a few problems and fixed some typos.
• Wednesday 19 February. Continued in Section 12, up through the alternating Series Test.
• Monday 17 February. Continued in Section 12. Covered up through the ratio test in 3rd hour; and up through Proposition 12.3 part (d).
• Friday 14 February. Exam I covered Sections 9, 10 and 11.
• Wednesday 12 February. Reviewed for Exam I. There were many good questions.
• A sample exam.
• Notes updated 10 February 12:35 pm. Fixed a typo (replaced the metric space Y by \(\mathbb R\)) in Exercise 9.5. Other small improvements.
• Monday 10 February. More of Section 12, up through the end of Section 12.2 in 3rd hour; discussed suggested problems in 7th hour.
• Friday 7 February. Began Section 12, up through the definition of series in 3rd hour. Covered subsection 11.5 and began Section 12 up through Proposition 12.1 in 7th hour. Homework 5 redos were due.
• Notes updated Friday 7 February at 11:50 am. Typos fixed, a few upgrades and new problems and exercises in Sections 10, 11, and 12.
• Wednesday 5 February. Section 11.6 and 11.5.
• Monday 3 February. Homework 5 was due. More of Section 11, starting with Corollary 11.25 and ending with Theorem 11.27.
• Friday 31 January. Homework 4 redos were due. More of Section 11, starting with Subsection 11.3 and continuing through Theorem 11.24
• Wednesday 29 January. More of Section 11, from Corollary 11.10 through Corollary 11.16.
• Notes updated Wednesday 29 January at 11:15am. Small improvements and some typos fixed.
• Monday 27 January. Homework 4 was due. Continued in Section 11, starting with Example 11.3 up through Proposition 11.9.
• Friday 24 January. Homework 2 redos were due. Finished Section 10, and began Section 11 up through Example 11.2.
• Wednesday 22 January. Homework 3 was due. More of Section 10 starting with Corollary 10.12 up through L’Hopital’s rule.
• Notes updated Sunday 19 January at 12:10pm. Fixed a typo in the description of problem 10.1, plus other improvements.
• Friday 17 January. Homework 2 was due. Homework 1 redos were due. Professor Garvin substituted 3rd hour. 7th hour will met with Professor Groisser and his section in MAEB211. More of Section 10.
• Notes updated Sunday 19 January at 10:20. Fixed a typo in the description of problem 10.1.
• Wednesday 15 January. Professor Garvin substituted 3rd hour. 7th hour met with Professor Groisser and his section in MAEB211. More of Section 10, starting with 10.5.
• Monday 13 January. 3rd hour, continued in Section 10, covering Propositions 10.3 and 10.4; 7th hour begin Section 10.
• Notes updated 11 January at 8:30 am. Streamlined the proof of Theorem 9.2 and corrected typos in the statement of Problem 9.3 and Theorem 9.6 – thanks to student input. Some small improvements in the presentation in Section 9.2 and upgrades in Section 10 up through Section 10.2.
• Friday 10 January. Homework 1 was due. Finished Section 9 (covering 9.2) and began Section 10 up to Example 10.2 in 3rd hour; finished section 9 in 7th hour.
• Wednesday 12 January. Example 9.5 (b) through the end of Section 9.1.
• Notes updated 06 January 2014. Corrected typos – my thanks to the students who pointed them out. Fixed the statement of Problem 9.7.
• Monday 6 January. Section 9 up through Example 9.5(a).
• Notes updated 05 January 2014. Draft of remainder of the notes.