## Mathematics 110 Homework

Here are some suggested homework exercises. Solutions will not be collected or marked, but students should feel free to ask about any of these problems -- and any others they try! -- in tutorial or in office hours.

Homework Set # 1, 2, 3, 4, 5, 6, 7, 8, 9

### Homework Set #1

1. Section 0.1 Exercises # 1, 9, 13, 17, 23, 27, 37, 39, 43, 52, 67, 81, 83, 89
2. Section 9.1 Exercises # 1, 3, 7, 8, 26
3. Section 0.2 Exercises # 1, 3bd, 7, 13, 28
4. Section 0.4 Exercises # 1, 3, 5, 7, 15
5. Section 1.1 Exercises # 5, 8
6. Section 1.2 Exercises # 3, 5, 7, 15, 17
7. Section 1.3 Exercises # 1, 5, 13afh, 15, 21, 27, 41, 45, 51, 57, 58, 61
8. Section 1.4 Exercises # 1, 3, 11, 13, 20, 33
9. Section 1.5 Exercises # 1, 2, 3, 9, 13, 29, 37, 40a, 43, 45
10. Section 1.6 Exercises # 1, 2, 9, 13, 40
Just for fun, you might also give Section 0.4 Exercise # 24 a shot.

### Homework Set #2

1. Section 2.1 Exercises # 1, 5, 7, 9, 13, 17, 19, 23, 33, 34, 57
2. Section 2.2 Exercises # 3, 9, 11, 13, 15, 29, 31, 35, 37, 45, 48, 49, 53, 67
3. Section 2.3 Exercises # 11, 13
4. Section 2.4 Exercises # 3, 7, 11, 18, 21, 25, 33, 37, 39, 45, 55a, 57
5. Section 2.5 Exercises # 1, 5, 11, 15, 21, 23, 33, 39, 43, 49, 59, 7
6. Section 2.6 Exercises # 3, 7, 9, 13, 17, 19, 21, 31, 35, 45
7. Section 2.7 Exercises # 1, 3, 9, 17, 21, 23, 33, 35, 43, 49
8. Section 2.8 Exercises # 1, 5, 7, 11, 13, 17, 21, 23, 25, 29
9. Section 2.9 Exercises # 1, 7, 13, 19, 25
10. Section 9.2 Exercises # 1, 3, 5, 11, 23
Sections 2.3, 2.9, & 9.2 will not be covered in the lectures, but feel free to ask about them in tutorials and office hours.

### Homework Set #3

1. Section 3.1 Exercises # 5, 9, 13, 17, 27, 31, 41, 45, 47, 49
2. Section 3.2 Exercises # 1--6, 7, 11, 13, 15, 17, 19, 23, 27, 29
3. Section 3.3 Exercises # 3, 7, 13, 16, 29, 33, 37, 41, 47, 65, 69, 73, 75, 77
4. Section 3.4 Exercises # 3, 4, 7, 11, 15, 21, 23, 33, 35, 37, 49, 57, 61
5. Section 3.5 Exercises # 3, 5, 7, 11
6. Section 3.6 Exercises # 7, 13, 21, 27, 31, 35, 37, 41, 51, 65
7. Section 3.8 Exercises # 1, 3, 5, 11, 19, 23, 29, 33, 35, 39, 47, 51, 59, 77
Section 3.5 will not be covered in the lectures, but feel free to ask about it in tutorials and office hours. Prospective math and/or physics majors might also take a look at Section 3.7 for some functions they may come across in future years.

### Homework Set #4

1. Section 4.1 Exercises # 1, 3, 21, 25, 27, 29, 33, 37, 39, 41, 47, 49, 53, 69
2. Section 4.2 Exercises # 1, 2, 5, 11, 13, 17, 19, 25 (remember your mean value theorem)
3. Section 4.3 Exercises # 3, 5, 7, 11, 21, 25, 29, 37
4. Section 4.4 Exercises # 3, 7, 9, 19, 25, 27, 33, 34, 43
5. Section 4.5 Exercises # 3, 7, 11, 13, 17, 23, 27, 59
6. Section 4.7 Exercises # 1, 5, 7, 9, 13, 19, 27, 29, 31, 33, 37, 45

### Homework Set #5

1. Section 5.1 Exercises # 3, 4, 9, 13, 19, 21, 29, 31, 41, 43
2. Section 5.2 Exercises # 1, 3, 7, 9abd, 13, 23
3. Section 5.3 Exercises # 3, 7a, 15, 17, 33, 35, 39, 41, 43, 49, 55, 58
4. Section 5.4 Exercises # 1, 3, 7, 9, 11, 13, 17, 21, 41, 57, 67, 77, 79, 85
5. Section 5.5 Exercises # 1, 3, 9, 11, 19, 25, 27, 35, 37, 55, 63, 65, 73
6. Section 5.6 Exercise # 3
For reasons of time, we will not do much more than wave our hands at general Riemann sums and instead base most of the presentation of the definite integral on intuition about areas and the "Right-hand Rule" (Theorem 5 of Section 5.3). In particular, we will refer to the material from Sections 5.1 and 5.2 only as necessary. (Which it will be, from time to time...) Section 5.6 will not be covered in the lectures at all -- I just like Problem 3!

### Homework Set #6

1. Section 6.1 Exercises # 1, 3, 5, 7, 19, 21, 25, 33, 35, 39
2. Section 6.2 Exercises # 1, 3, 7, 9, 17, 19, 27, 29, 33, 37, 49, 51, 63
3. Section 6.3 Exercises # 1, 3, 5, 9, 11, 13, 17, 19, 23, 33, 35, 37, 40, 41
4. Section 6.5 Exercises # 3, 5, 7, 11, 15
We'll be skipping Section 6.4, but those of you with an interest in physics ought to check it out, if it's not too much work.

### Homework Set #7

1. Section 7.1 Exercises # 3, 5, 7, 9, 13, 17, 21, 23, 27, 31, 33, 38, 41, 51, 53
2. Section 7.2 Exercises # 1, 3, 5, 7, 9, 11, 13, 17, 21, 23, 25, 39, 41, 53, 55, 59
3. Section 7.3 Exercises # 1, 3, 5, 7, 9, 11, 15, 17, 21, 23, 27, 29a, 35
4. Section 7.4 Exercises # 3, 5, 7, 17, 19, 21, 23, 25, 27, 31, 35, 41, 47, 59, 65
5. Section 7.5 Exercises # 1, 5, 7, 9, 11, 19, 21, 23, 25, 31a
6. Section 7.6 Exercises # 1, 3, 5, 9, 11, 13, 15, 19, 21, 23, 27, 31, 35, 39, 47, 55, 63, 71
7. Section 7.9 Exercises # 1, 3, 5, 7, 9, 15, 19, 25, 27, 29, 31, 41, 49, 51, 53, 58

### Homework Set #8

1. Section 8.1 Exercises # 1, 3, 5, 7, 9, 11, 13, 17, 35
2. Section 8.2 Exercises # 1, 3, 5, 9, 11, 27, 29
3. Section 8.3 Exercises # 1, 3, 9, 11, 13, 15
4. Section 8.4 Exercises # 5, 7, 9, 11, 17
5. Section 9.4 Exercises # 1, 3, 7, 9, 11, 15, 17, 19, 21, 25, 27, 31, 33, 35, 37, 39, 63, 65, 67
6. Section 9.5 Exercises # 1, 3, 5, 7, 23, 27, 35, 37

### Homework Set #9

1. Section 10.1 Exercises # 3, 5, 9, 11, 15, 17, 19, 21, 25, 27, 29, 33, 35, 37, 39, 53, 55, 59
2. Section 10.2 Exercises # 7, 13, 17, 19, 21, 25, 29, 33, 43, 45, 47, 59
3. Section 10.3 Exercises # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23
4. Section 10.4 Exercises # 1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 25, 27, 29, 39
5. Section 10.5 Exercises # 1, 3, 5, 7, 11, 13, 15, 17, 19, 23
6. Section 10.6 Exercises # 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 35
7. Section 10.7 Exercises # 1, 5, 9, 13, 17, 21, 23, 29, 31, 35, 37
8. Section 10.8 Exercises # 1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, 37
9. Section 10.9 Exercises # 1, 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 33, 35
10. Section 10.10 Exercises # 1, 3, 7, 9, 11, 13, 17, 21, 23, 33, 35, 41, 43, 45, 47, 49
11. Section 10.11 Exercises # 1, 3, 5, 13, 17

Department of Mathematics Trent University
Maintained by Stefan Bilaniuk. Last updated 1998.08.22.