Wednesday, January 18: Problems 1 -- 4 in Section 5.1.
Monday, January 23: Problems 6 -- 9 in Section 5.2; Problems 10, 12, 15 in Section 5.3. Turn in problems 2, 3, 4 (previous assignment) on Wednesday.
Wednesday, January 25: Problems 7, 9 in Section 5.2; Problems 10 -- 15 in Section 5.3.
Monday, January 30: No new problems. However, find a simple proof that if a function is Riemann integrable on [a, b], then so is its square. Riemann integrable functions are bounded. Begin by adding a constant function so that the function's values are greater than 1. Now what?
Wednesday, February 1: Problems 22, 24, 25, 27 in Section 5.5. Also, begin Project 5.1 on pages 169 -- 170. Turn in problems 9, 10, 18 and 25 next Monday.
Monday, February 6: Problems 28 -- 31 in Section 5.6; Problem 33 in Section 5.7. Continue working on Project 5.1.
Wednesday, February 8: Problems 2, 3, 5, 6, 7, 10 in Section 6.1. Turn in problem 31 in Chapter 5 and problems 2, 6, 7 in Chapter 6 on Monday.
Monday, February 13: Problems 13, 14, 15, 17 in Section 6.2; Problems 18, 19, 29, 22, 23, 24 in Section 6.3.
Wednesday, February 15: Problems 27, 28, 31 in Section 6.4. Turn in problems 14, 24, 27 and 28 on Monday.
Monday, February 20: Problems 33 -- 37 in Section 6.5.
Wednesday, February 22: Click here for an assignment that is due next Monday.
Monday, February 27: Problem 41 in Section 6.5; problems 42, 45, 46, 47.
Wednesday, February 29: Problems 2, 3, 4, 6 in Section 7.1; problems 8, 9 in Section 7.2. Turn in problems 46, 47 in Section 6.6 (46 is easy, but it is needed for 47), 3, 6 and 7 (see definition on page 220) in Section 7.1 on Monday.
Monday, March 7: Problem 12 in Section 7.2; problems 14, 16, 17, 18 in Section 7.3. TEST 1 will be on Wednesday, March 14 (first Wednesday after break).
Monday, March 26: Problems 1 -- 8 in Section 8.6 of Stoll.
Wednesday, March 28: Problems 1 -- 4 in Section 9.1 of Stoll. Turn in problems 1, 4, 7, 8 in Section 8.6 on Monday.
Monday, April 4: Problems 1 -- 6 in Section 9.2; problems 1 -- 8 in Section 9.3. Turn in problems 1, 2, 4 in Section 9.2 and 3 (b, c) in Section 9.3 on Monday.
Wednesday, April 11: Hand in problem 6 in Section 9.3 and also Problems 1, 3 and 6 in Section 9.4 on Monday. For Problem 3, read and use Definitions 9.3.7 and 9.3.8 (Fourier sine series and even/odd extensions). When answering Problem 6 in Section 9.4, explain why integration yields the desired Fourier series.
Wednesday, April 18: Take-home Exam: Problems 12 and 15 on page 233 of Gaughan; problem 8 on page 356 of Stoll; problems 1 and 4 on page 390 of Stoll. Please do not discuss solutions with anyone but me. Write carefully and justify non-obvious steps, of course.
Wednesday, April 25: Problems 1 -- 5 in Section 9.7 of Bruckner et al.
Jean le Rond d'Alembert (1717 -- 1783) was a French mathematician responsible for the Ratio Test. His mother abandoned him on the steps of Saint-Jean-le-Rond de Paris shortly after he was born. He was raised by a glazier. He became popular in the salons of Paris because of his quick wit and clever impersonations.