#resources/problem_collections
Folland Exercises
Exercises from Folland:
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Chapter 1:
- Exercises 3, 7, 10, 12, 14 - (with the sets in 3(a) being non-empty)
- Exercises 15, 17, 18, 19, 22(a), 24, 28
- Exercises 26, 30 - (also check out 31)
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Chapter 2:
- Exercises 2, 3, 7, 9 - (in 9(c) you can use Exercise 1.29 without proof
- Exercises 10, 12, 13, 14, 16, 19
- Exercises 24, 25, 28(a,b), 33, 34, 35, 38, 41 - (note that 24 shows that upper sums are not needed in the definition of integrals, and the extra hypotheses also show that they are not desired either)
- Exercises 40, 44, 47, 49, 50, 51, 52, 54, 56, 58, 59
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Chapter 3: Exercises 3(b,c), 5, 6, 9, 12, 13, 14, 16, 20, 21, 22
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Others
Qual Workshop Materials
DZG: not mine, just copied from somewhere.
Day 2 Metric Spaces and Topology.pdf
Day 3 Sequences and Series.pdf
Day 4 Continuity of Functions.pdf
Day 5 Differential Calculus.pdf
Day 7 Sequences and Series of Functions.pdf