Math 3210-001, Summer 2016
Foundations of Analysis, University of Utah
Assignments

Week 11. (Due Tuesday August 2nd; this is the final homework assignment.) Read Chapter 6. Make sure that you know the definitions, as in the past.

Problems:
• Exercise set 6.5: #1, 4, 12.
• Exercise set 6.3: #1, 11.
• Exercise set 6.2: #8, 11.
• Exercise set 6.1: #7.
Solutions are posted here.
Week 10. (Due Tuesday July 26th) Read sections 5.3 and 5.4 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 5.3: #3, 4, 5, 6, 9.
• Exercise set 5.4: #9, 10, 12.
Solutions are posted here.
Week 9. (Due Tuesday July 19th) Read sections 5.1 and 5.2 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 5.1: #1, 5, 9.
• Exercise set 5.2: #9, 10.
Solutions are posted here.
Week 8. (Due Tuesday July 12th) Read section 4.4 carefully. Make sure that you know the definitions.

Midterm 3 is about the material covered by the assignments from Weeks 6+7.

Problems:
• Exercise set 4.4 (pp. 98-99): #1, 2, 10, 11, 13, 14.
Solutions are posted here.
Week 7. (Due Tuesday July 5th) Read section 4.3 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 4.3 (pp. 92-93): #1, 2, 3, 4, 5, 6, 7, 8, 13, 16.
Solutions are posted here.
Week 6. (Due Tuesday June 28th) Complete reading 3.3; also, read sections 4.1 and 4.2 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 4.2. (pp. 88-89): #1, 2, 3, 11.
• Exercise set 4.1. (pp. 83-84): #8, 9, 13.
• Exercise set 3.3. 3.4. (pp. 77-78): #10, 12.
Solutions are posted here.
Week 5. (Due Tuesday June 21st) Read sections 3.1 through 3.3 carefully. Make sure that you know the definitions.

Midterm 2 is about the material covered by the assignments from Weeks 3-5.

Problems:
• Exercise set 3.1. (p. 64): #1, 3, 9.
• Exercise set 3.2. (pp. 68-69): #1, 2, 4, 5, 9. [You may not use material from your calculus class for these problems; only what we have covered thus far. This is to avoid "circular reasoning."]
• Exercise set 3.3. (p. 73): #1, 2, 7.
Solutions are posted here.
Week 4. (Due Tuesday June 14th) Read sections 2.4,-2.6 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 2.4. (p. 50): #1, 4, 5.
• Exercise set 2.5. (pp. 54-55): #1, 2, 5, 8.
• Exercise set 2.6. (p. 58): #1, 5.
Solutions are posted here.
Week 3. (Due Tuesday June 7th) Read Sections 2.1-2.3 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 2.1. (p. 38): #2, 5, 8.
• Exercise set 2.2. (p. 42): #5, 9.
• Exercise set 2.3. (pp. 45-46): #8, 11, 12.
Solutions are posted here.
Week 2. (Due Tuesday May 31st | Read Sections 1.4-1.5 carefully. Make sure that you know the definitions.

Problems:
• Exercise set 1.4. (pp. 25-26): #1, 4, 8, 9
• Exercise set 1.5. (pp.31-32): #2, 8, 9.
Solutions are posted here. (Posted on May 31, 2016)
Week 1. (Due Tuesday May 24th) Read Sections 1.1-1.3 carefully. Make sure that you know the definitions. [Remember that reading mathematics is done with pen and paper; it is not a passive exercise.]

Problems:
• Exercise set 1.1 (pp. 7-8): #2, 4, 5, 13
• Exercise set 1.2. (pp. 14-15). Read the first 2 lines of the exercise set first. Then attempt the following: #2, 14, 17
• Exercise set 1.3. (pp. 20-21): 8, 9, 10, 11.

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