SPRING 2007

MATH 630 (Real Analysis I)

Syllabus ( dvi , pdf )

Notes ( pdf ; pdf ; pdf ; pdf ; pdf ; pdf )

SAMPLE FINAL SOLUTIONS ( pdf )

SAMPLE FINAL ( pdf )

MIDTERM due April 18th, 2007, 10:00 AM ( pdf )

Homeworks:

HW1: Choose one problem from each of the four sets:

• I: 1.3, 1.4, 1.5
• II: 1.9, 1.17
• III: 1.22, 1.27, complete and formal proof of Proposition 1.2.3
• IV: 1.18, 1.19, 1.23

HW2: Choose one problem from each of the four sets :)

• I: 2.1
• II: 2.2
• III: 2.3
• IV: 2.4

HW3: Choose one problem from each of the four sets

• I: 2.6, 2.7, 2.16
• II: 2.12, 2.13, 2.14
• III: 2.15, 2.23
• IV: 2.25, 2.29, 2.30, 2.31

HW4: Choose one problem from each of the four sets

• I: 2.30, 2.42
• II: 2.36, 2.41
• III: 3.1, 3.2, 3.3
• IV: 2.43, 2.44

HW5: Choose one problem from each of the three sets :)

• I: 3.6
• II: 3.8
• III: 3.9

HW6: Choose one problem from each of the four sets

• I: 3.11, 3.15, 3.22
• II: 3.17, 3.31, 3.32
• III: Prove one of the 3 problems in 3.19
• IV: 3.21, 3.28, 3.30

HW7: Choose one problem from each of the three sets :)

• I: 4.1
• II: 4.3
• III: 4.4

HW8: Choose one problem from each of the three sets

• I: 4.7, 4.8
• II: 4.11, 4.12, 4.13
• III: 4.17, 4.18, 4.19

HW9: Choose one problem from each of the sets

• I: 4.21, 4.27, 4.32
• II: 4.22, 4.24, 4.26
• III: 4.25, 4.29, 4.34
• IV: 4.36 , 4.37, 4.41

HW10: Choose one problem from each of the sets :)

• I: 4.42
• II: 4.48
• III: 5.6
• IV: 5.14

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