Mathematics & Statistics Texas Tech University Kent Pearce Department of Mathematics and Statistics Texas Tech University Lubbock, Texas 79409-1042 Voice: (806)742-2566 x 226 FAX: (806)742-1112 Email: kent.pearce@ttu.edu

Homework -- Intermediate Analysis I
 Math 5318-001 Fall 2000 Goldberg, Richard Methods of Real Analysis, 2nd Ed. Wiley & Sons New York 1976

 Assignment #1 Section 1.2: 3-8 Section 1.3: 2-4, 6-9, 11, 13 Supplement: Prove Theorems: 1.a, 1.h.ii, 1.i, 1.l.v, 1.m.ii, 1.m.vi, 2.a.i, 2.b.ii, 2.c.i A. One of the theorems in the Appendix is false. Find it and prove that it is false. Correct the hypothesis and prove the corrected theorem. B. Prove that the complex number field C cannot be an ordered field. Due: Wednesday, September 6 Assignment #2 Section 1.4: 1-4 Section 1.5: 2-3, 5-7, 9 Due: Wednesday, September 13 Assignment #3 Section 1.6: 2-6 Section 1.7: 3-5 Section 2.1: 2-3, 5-6 A. Prove: If A, B are countable, then A × B is countable. Due: Wednesday, September 20 Assignment #4 Section 2.2: 1, 7, 10-11 Section 2.3: 1-3, 5 Section 2.4: 1-3, 5 Section 2.6: 1-2, 5-6, 8-9 Due: Wednesday, September 27 Assignment #5 Section 2.7: 1-4, 6-7, 11 Section 2.8: 1-2 Section 2.9: 1-3, 5, 7 Due: Wednesday, October 4 Assignment #6 Section 2.10: 1-2, 5-7 Section 2.11: 1-2, 5 Section 2.12: 1-2, 5 Section 3.1: 2, 4-5, 7, 9, 11-12, 14 Due: Wednesday, October 18 Assignment #7 Section 3:2: 1-3, 5-6 Section 3:3: 1-3, 5 Section 3:4: 1-4 Due: Wednesday, October 25 Assignment #8 Section 3:5: 2, 5, 7-8 Section 3:6: 1-2, 5-7, 11 Due: Wednesday, November 1 Assignment #9 Section 3:7: 1, 2, 5 Section 3:8: 1, 3-5 Section 3:9: 1-3,6 Section 3:10: 1-3, 5-7 Section 4.1: 3-6, 8, 10 Due: Wednesday, November 15 Assignment #10 Section 4.2: 2, 5, 7, 9, 11-12 Section 4.3: 1-2, 5, 7, 12 Section 5.1: 2-5, 9-10 Section 5.3: 1-3, 5, 7, 9 Due: Wednesday, November 29 Supplementary Problems Section 5.4: 1-4, 6-7, 9-10 Section 5.5: 1-6, 8-11, 13-14, 18, 20 Section 5.7: 1, 3

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