MATH 501 Homework Assignments
August 21: Chapter 1, #1,2 due September 1
August 23: Chapter 1, #4,5 due September 1
August 25: Chapter 1, #9, due September 1
August 30: Chapter 1, #6 due September 8 [Partial discussion of this problem]
September 1: Chapter 2, #2,3 due September 15
September 8: Supplementary Problems #1 , due September 15
September 11: Chapter 2, #11, due September 15
September 13: Chapter 2, #5,8 due September 22
Septenber 15: Chapter 2, #7 due September 22
September 18: Chapter 2, #12,14,15 due September 22
September 20: Chapter 2, #19ab, 22 due September 29
September 22: Chapter 3, #1,2 due September 29
September 27: Chapter 3,#14ab, 23 due October 6
October 4: Chapter 3, #3,5,16 due October 13
October 9: Chapter 3, #6ab,7 (Hint for #7: use the Schwarz inequality, 1.37d, page 16) due October 13
October 11: Chapter 3, #6c,11abc due October 20
October 13: Chapter 3, #9,10 due October 20
October 16: Using only the definition of limit, give a careful proof
that the limit of f(x)=x^4 as x tends to 2 is 16. due October 20
October 18: Chapter 4, #2,3,4 due October 27
October 20: Chapter 4, #7 due October 27
October 23: Chapter 4, #14 due October 27
October 25: Chapter 4, #8,11 due November 3
October 27: Supplementary problems #2, due November 3
October 30: Chapter 5, #7,13abcd, due November 3
November 1: Chapter 5, #1,3 due November 10
November 3: Chapter 5, #4,6,12 due November 10 (Suggestion for #6:
start by using the mean value theorem to show that g(x)<=f''(x).)
November 6: Supplementary problems #3, due November 10
November 8: Chapter 6, #1,2,4 due November 17
November 13: Chapter 6, #5,8 due November 17
November 15: Chapter 6, #9,15,16 due December 1
November 17: Supplementary Problems #4, due December 1
November 29: Chapter 7, #5,7,8, due December 8
December 1: Supplementary problems #5, due December 8
December 4: Chapter 7, #15,16,18 due December 8 (In #16 you may use the
fact that any compact set is separable, see Chapter 2, #25.)