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HW Set 1 for wed

1.5: 1, 4a,b, 5
1.6: 1, 3, 7a,b, 10, 15
1.7: 1, 6 2.1: 1,2, 3,4
2.2: 1,2

HW set 2 for wed

3.2: 1,2,6
3.3: 1,2,3,4
3.4: 10,11
4.1: 1, 2, 3, 4
extra: Show that our definition of differentiability of a map ℝⁿ → ℝ^m, when n = m = 1 coincides with the usual differentiability of a function.

HW set 3 for wed 4.2: 1abc, 2, 3a, 5a, 12, 13
4.3: 1,3,4
4.4: 1, 3
4.5: 1, 2, 3
5.1: 5, 6, 12
5.2: 1, 2, 4, 5, 8

HW set 4 for wed

5.3: 1, 5, 6, 10, 12, 25
6.2: 1, 2, 3 a,b,c, 4 6.3: 1, 7, 8, 9, 10, 11
7.1: 1, 2

HW set 5

7.2: 5, 6, 8, 11
7.3: 1,2 8.1: 1, 2, 3, 8, 9
8.2: 1
8.3: 6,9, 15

HW set 5

9.2: 1:a,b,c,d, 2:a,b, 3, 5, 9
9.3: 1,2, 3,4, 15
10.1: 1:a,b,c, 2, 5, 6

HW set 6

10.2: 2
11.1: 1,2,3,4
11.2: 1,2,4,9,13

HW set 7

12.1: 1, 2
12.2: 1,2,3
12.3: 1,2, 10
12.4: 6
12.5: 2, 4, 6, 14 12.6: 5

HW set 8

Q1: What is the Jacobian L′ of a linear map $L: ^{n} ^{m} $? Give a proof.

17.5: 1,2,3

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