Math 21a Homework Assignments for Spring 2002

Math 21a Homework Assignments for Spring 2002:

Late Policy: Late homework will not be accepted. However, your three lowest homework scores will be dropped at the end of the semester.

Reading: All reading will be in Stewart unless otherwise noted

Solutions: Solution sets, grouped by section in the textbook after the first few, can be obtained by clicking on the links below.

Section Assignment

13.3 11, 13, 16, 23, 26

13.2 3, 5, 10, 14, 17, 35

13.1 6, 29-32

12.8 4, 11, 19, 29

Bonus page 893 3

12.7 5, 9, 12, 23, 30

12.6 8, 22

12.4 19, 22, 29

12.3 5, 13, 37, 41

12.2 7, 13, 14, 31

11.8 2, 8, 10, 23

11.7 4, 8, 16, 26

11.6 8, 16, 20, 26, 44

11.5 7, 10, 17, 18, 24, 28

11.4 4, 12, 15, 16, 40

11.3 8, 9, 14, 18, 26, 48, 78

11.2 13, 14, 34

11.1 12-14, 23, 24, 31-34

10.5 Bonus 32a

10.5 12-14, 18, 22

10.3 2, 4

10.2 6, 18, 21, 40-42, 45

10.1 4-10, 19, 20

9.6
9.7 12, 15, 17, 23, 24, 33
6, 8, 16, 30, 34

9.5 4, 5, 20, 36, 48, 49

9.3
9.4 18, 25, 33, 34, 37
8, 9, 16, 18, 22, 27

9.2
9.3 6, 18, 20, 24, 34
8, 16

9.1 5, 8, 10, 14, 28, 31, 33

Section	Assignment
13.3	11, 13, 16, 23, 26
13.2	3, 5, 10, 14, 17, 35
13.1	6, 29-32
12.8	4, 11, 19, 29
Bonus page 893	3
12.7	5, 9, 12, 23, 30
12.6	8, 22
12.4	19, 22, 29
12.3	5, 13, 37, 41
12.2	7, 13, 14, 31
11.8	2, 8, 10, 23
11.7	4, 8, 16, 26
11.6	8, 16, 20, 26, 44
11.5	7, 10, 17, 18, 24, 28
11.4	4, 12, 15, 16, 40
11.3	8, 9, 14, 18, 26, 48, 78
11.2	13, 14, 34
11.1	12-14, 23, 24, 31-34
10.5 Bonus	32a
10.5	12-14, 18, 22
10.3	2, 4
10.2	6, 18, 21, 40-42, 45
10.1	4-10, 19, 20
9.6 9.7	12, 15, 17, 23, 24, 33 6, 8, 16, 30, 34
9.5	4, 5, 20, 36, 48, 49
9.3 9.4	18, 25, 33, 34, 37 8, 9, 16, 18, 22, 27
9.2 9.3	6, 18, 20, 24, 34 8, 16
9.1	5, 8, 10, 14, 28, 31, 33

MWF sections: Note all sections will end up doing the same amount of homework during the semester, but it might be assigned at slightly different times - check with your TF if you have any questions. Also, the solutions posted may not match up exactly with your assignment, as we cannot post solutions to problems that another section may not have turned in yet.

Assigned in
class on: Assignment
Due Date: Reading Problems

20 - Fri 4/26
(just Biochem) Mon 4/29 No assignment for regular/physics sections -
just for Biochem - a few more problems on approximations: Rosner 4.16, 5.61, 5.62

19 - Wed 4/24 Fri 4/26 13.8 and 13.9
(Biochem read Rosner
5.1 to 5.8, skip 5.6)
Section 13.8 #2, 4, 7, 17, 22 and 23
(Biochem in Rosner, problems at end of Chapter 5 # 6,7,27,28,29,41,42,44 and 61)

18 - Fri 4/19 Wed 4/24 13.6 and 13.7
(Biochem read Rosner
sections 4.1 to 4.12)
Section 13.6 #4, 5, 14, 19, 25 and 34
Section 13.7 #3, 5, 13 and 19
(Biochem in Rosner problems at end of Chapter 4 #10,14,15,20,73,74,81,82,83)

17 - Wed 4/17 Fri 4/19 13.4 and 13.5
(Biochem read Rosner chapter 3 sections 3.6 and 3.7
Section 13.4 #3, 21, and 15 and
13.5 #6, 10(e through k), 19, and 25
(Biochem in Rosner, problems at the end of
Chapter 3: 15, 16, 24, 25, 28, 76, 77, 78, 83, 87, 88, and 89)

No homework from Fri 4/12 to Wed 4/17 - just study for the midterm!

16 - Wed 4/10 Fri 4/12 13.3
(Biochem read Rosner chapter 3 sections 3.1-3.5 and 3.8)
Section 13.3 #11, 13, 16, 23, 26
(Biochem in Rosner, problems at the end of Chapter 3 6,11,12,13,17-20 )

15 - Fri 4/5 Wed 4/10 13.1 and 13.2
(Biochem read Rosner chapters 1 and 2 instead)
Section 12.8 #4, 11, 19, 29
Section 13.1 #6, 29-32
Section 13.2 #3, 5, 10, 14, 17 and 35
(Biochem just do section 12.8 #4, 11, 19, 29
and in Rosner, on pages 38-40 do problems
2.1, 2.2, 2.8, 2.9, 2.10 and 2.18 )
All sections, please start Mathematica Lab 2 - due next Fri, April 12th

14 - Mon 4/1 Fri 4/5 12.7 and 12.8 Section 12.4 #19, 22, 29
Section 12.6 #8 and 22
Section 12.7 #5, 9, 12, 23 and 30
Bonus question - find the volume of a four dimensional hypersphere of radius r (question 3 on page 893)

13 - Wed 3/20 12.5 and 12.6 No problems due and nothing due over Spring Break!

12 - Fri 3/15 Wed 3/20 12.1, 12.2, 12.3, 12.4 Section 12.2 #7, 13, 14, 31 (uses Mathematica - and the command "Integrate[f[x,y], {x,0,1},{y,0,1}]")
Section 12.3 #5, 13, 37, 41

11 -- Fri 3/8 Fri 3/15 11.6, 11.7 and 11.8 Section 11.6 #8, 16, 20, 26 and 44
Section 11.7 #4, 8, 16 and 26
Section 11.8 #2, 8, 10 and 23

10 -- Wed 3/6 Fri 3/8 11.5 Section 11.4 #40
Section 11.5 #7, 10, 17, 18, 24, 28
Mathematica Lab

9 -- Fri 3/1 Wed 3/6
Don't forget the Mathematica assignment due on Friday 3/8 11.3 and 11.4 Section 11.2 #13, 14, 34
Section 11.3 #8, 9, 14, 18, 26, 48, 78
Section 11.4 #4,12, 15, 16
and bonus question - find the limit, if it exists, of (x³ y²) / (x⁴ + y⁸)as (x,y) -> (0,0)

8 -- Wed 2/27 Fri 3/1 11.1 and 11.2 Section 11.1 #12-14, 23, 24, 31-34
and bonus question 10.5 #32(a)
Physics Section Homework

7 -- Fri 2/22 Wed 2/27 10.2, 10.3 (just the section on arc length) and 10.5
Physics Section Handout Section 10.2 #6, 18, 21, 40-42, 45
Section 10.3 #2, 4
Section 10.5 #12-14, 18 and 22
Physics Section Homework

6 -- Wed 2/20 Friday 2/22 10.1 Section 10.1 #4-10, 19 and 20

5 -- Fri 2/15 Wed 2/20 9.6 and 9.7 Section 9.6 #12, 15, 17, 23, 24, 33
Section 9.7 #6, 8, 16, 30, 34

4 -- Wed 2/13 Friday 2/15 9.5 Section 9.5 #4,5,20,36,48, 49

3 -- Fri 2/8 Wed 2/13 9.4 Section 9.3 #18, 25, 33, 34, 37
Section 9.4 #8, 9, 16, 18, 22, 27

2 -- Wed 2/6 Friday 2/8 9.3 Section 9.2 #6, 18, 20, 24, 34
Section 9.3 #8, 16

1 -- Mon 2/4 Wed 2/6 9.1 and 9.2 Section 9.1 #5, 8, 10, 14, 28, 31 and 33
(note: odd-numbered answers are in the back of the book - feel free to check your answers this way, but do the problems on your own first!!)

Assigned in class on:	Assignment Due Date:	Reading	Problems
20 - Fri 4/26 (just Biochem)	Mon 4/29		No assignment for regular/physics sections - just for Biochem - a few more problems on approximations: Rosner 4.16, 5.61, 5.62
19 - Wed 4/24	Fri 4/26	13.8 and 13.9 (Biochem read Rosner 5.1 to 5.8, skip 5.6)	Section 13.8 #2, 4, 7, 17, 22 and 23 (Biochem in Rosner, problems at end of Chapter 5 # 6,7,27,28,29,41,42,44 and 61)
18 - Fri 4/19	Wed 4/24	13.6 and 13.7 (Biochem read Rosner sections 4.1 to 4.12)	Section 13.6 #4, 5, 14, 19, 25 and 34 Section 13.7 #3, 5, 13 and 19 (Biochem in Rosner problems at end of Chapter 4 #10,14,15,20,73,74,81,82,83)
17 - Wed 4/17	Fri 4/19	13.4 and 13.5 (Biochem read Rosner chapter 3 sections 3.6 and 3.7	Section 13.4 #3, 21, and 15 and 13.5 #6, 10(e through k), 19, and 25 (Biochem in Rosner, problems at the end of Chapter 3: 15, 16, 24, 25, 28, 76, 77, 78, 83, 87, 88, and 89)
No homework from Fri	4/12 to Wed 4/17 - just	study for the midterm!
16 - Wed 4/10	Fri 4/12	13.3 (Biochem read Rosner chapter 3 sections 3.1-3.5 and 3.8)	Section 13.3 #11, 13, 16, 23, 26 (Biochem in Rosner, problems at the end of Chapter 3 6,11,12,13,17-20 )
15 - Fri 4/5	Wed 4/10	13.1 and 13.2 (Biochem read Rosner chapters 1 and 2 instead)	Section 12.8 #4, 11, 19, 29 Section 13.1 #6, 29-32 Section 13.2 #3, 5, 10, 14, 17 and 35 (Biochem just do section 12.8 #4, 11, 19, 29 and in Rosner, on pages 38-40 do problems 2.1, 2.2, 2.8, 2.9, 2.10 and 2.18 ) All sections, please start Mathematica Lab 2 - due next Fri, April 12th
14 - Mon 4/1	Fri 4/5	12.7 and 12.8	Section 12.4 #19, 22, 29 Section 12.6 #8 and 22 Section 12.7 #5, 9, 12, 23 and 30 Bonus question - find the volume of a four dimensional hypersphere of radius r (question 3 on page 893)
13 - Wed 3/20		12.5 and 12.6	No problems due and nothing due over Spring Break!
12 - Fri 3/15	Wed 3/20	12.1, 12.2, 12.3, 12.4	Section 12.2 #7, 13, 14, 31 (uses Mathematica - and the command "Integrate[f[x,y], {x,0,1},{y,0,1}]") Section 12.3 #5, 13, 37, 41
11 -- Fri 3/8	Fri 3/15	11.6, 11.7 and 11.8	Section 11.6 #8, 16, 20, 26 and 44 Section 11.7 #4, 8, 16 and 26 Section 11.8 #2, 8, 10 and 23
10 -- Wed 3/6	Fri 3/8	11.5	Section 11.4 #40 Section 11.5 #7, 10, 17, 18, 24, 28 Mathematica Lab
9 -- Fri 3/1	Wed 3/6 Don't forget the Mathematica assignment due on Friday 3/8	11.3 and 11.4	Section 11.2 #13, 14, 34 Section 11.3 #8, 9, 14, 18, 26, 48, 78 Section 11.4 #4,12, 15, 16 and bonus question - find the limit, if it exists, of (x³ y²) / (x⁴ + y⁸)as (x,y) -> (0,0)
8 -- Wed 2/27	Fri 3/1	11.1 and 11.2	Section 11.1 #12-14, 23, 24, 31-34 and bonus question 10.5 #32(a) Physics Section Homework
7 -- Fri 2/22	Wed 2/27	10.2, 10.3 (just the section on arc length) and 10.5 Physics Section Handout	Section 10.2 #6, 18, 21, 40-42, 45 Section 10.3 #2, 4 Section 10.5 #12-14, 18 and 22 Physics Section Homework
6 -- Wed 2/20	Friday 2/22	10.1	Section 10.1 #4-10, 19 and 20
5 -- Fri 2/15	Wed 2/20	9.6 and 9.7	Section 9.6 #12, 15, 17, 23, 24, 33 Section 9.7 #6, 8, 16, 30, 34
4 -- Wed 2/13	Friday 2/15	9.5	Section 9.5 #4,5,20,36,48, 49
3 -- Fri 2/8	Wed 2/13	9.4	Section 9.3 #18, 25, 33, 34, 37 Section 9.4 #8, 9, 16, 18, 22, 27
2 -- Wed 2/6	Friday 2/8	9.3	Section 9.2 #6, 18, 20, 24, 34 Section 9.3 #8, 16
1 -- Mon 2/4	Wed 2/6	9.1 and 9.2	Section 9.1 #5, 8, 10, 14, 28, 31 and 33 (note: odd-numbered answers are in the back of the book - feel free to check your answers this way, but do the problems on your own first!!)

Tu/Th sections: note all sections will end up doing the same amount of homework during the semester, but it might be assigned at slightly different times - check with your TF if you have any questions. Also, the solutions posted may not match up exactly with your assignment, as we cannot post solutions to problems that another section may not have turned in yet.

Assigned in
class on: Assignment
Due Date: Reading Problems

20 - Thurs 4/25 Tues 4/30 13.8 and look at 13.9 Section 13.7 #3, 5, 13 and 19
and Section 13.8 #2, 4, 7, 17, 22 and 23

19 - Tues 4/23 Thurs 4/25 finish 13.6 and 13.7 13.6 #19 and 25 (yup, it's this short - enjoy!)

18 - Thurs 4/18 Tues 4/23 13.5 and 13.6 pages 960 to 963) 13.5 #6, 10(e through k), 19, and 25
and 13.6 #4, 5, 14 and 34

17 - Tues 4/16 Friday 4/19 (in CA's mailbox) 13.3 and 13.4 Section 13.3 #11, 13, 16, 23, 26
and section 13.4 #3, 21 and 15

No homework from Thurs 4/11 to Tuesday 4/16 (study for the midterm!)

16 -- Tues 4/9 Thurs 4/11 13.2 Section 13.2 #3, 5, 10, 14, 17 and 35

15 -- Thurs 4/4 Tues 4/9 12.8 and 13.1 Section 12.7 #12, 23 and 30
Section 12.8 #4, 11, 19 and 29
Section 13.1 #6, 29-32
and please start Mathematica Lab 2, due next Thursday, April 11th

14 -- Tues 4/2 Thurs 4/4 12.7 Section 12.4 #19, 22, 29
Section 12.6 #8 and 22
Section 12.7 #5 and 9
Bonus question - find the volume of a four dimensional hypersphere of radius r (question 3 on page 893)

13 -- Thurs 3/21 12.5 and 12.6 No problems over Spring Break!

12 -- Tues 3/19 Thurs 3/21 12.2, 12.3, 12.4 Section 12.2 #7, 13, 14, 31 (uses Mathematica - and the command "Integrate[f[x,y], {x,0,1},{y,0,1}]")
Section 12.3 #5, 13, 37, 41

11 -- Thurs 3/14 Tuesday 3/19 12.1 Section 11.8 #2, 8, 10 and 23

10 -- Thurs 3/7 Friday 3/15 (in your CA's mailbox by end of Friday) 11.6, 11.7 and 11.8 Section 11.5 #7, 10, 17, 18, 24, 28
Section 11.6 #8, 16, 20, 26 and 44
Section 11.7 #4, 8, 16 and 26

9 -- Tues 3/5 Thurs 3/7 11.4 and 11.5 Section 11.4 #4, 12, 15, 16, 40
Mathematica Lab

8 -- Thur 2/28 Tuesday 3/5
Don't forget the Mathematica assignment due on Thurs 3/7 11.2 and 11.3 Section 11.1 #12-14, 23, 24, 31-34
Section 11.2 #13, 14, 34
Section 11.3 #8, 9, 14, 18, 26, 48, 78
and bonus question - find the limit, if it exists, of (x³ y²) / (x⁴ + y⁸)as (x,y) -> (0,0)

7 -- Tue 2/26 Thursday 2/28 10.5 and 11.1 Section 10.5 #12-14, 18 and 22
Section 11.1 #12-14
and bonus question 10.5 #32(a)

6 -- Thu 2/21 Tuesday 2/26 10.2 and 10.3 up through arc length Section 10.1 #4, 19, 20
Section 10.2 #6, 18, 21, 40-42, 45
Section 10.3 #2, 4

5 -- Tue 2/19 Thursday 2/21 9.7 and 10.1 Section 9.7 #6, 8, 16, 30, 34
Section 10.1 #5-10

4 -- Thur 2/14 Tuesday 2/19 9.5 and 9.6 Section 9.5 #4, 5, 20, 36, 48, 49
Section 9.6 #12, 15, 17, 23, 24, 33

3 -- Tue 2/12 Thursday 2/14 9.4 Section 9.3 #25, 33
Section 9.4 #8, 9, 16, 18, 27

2 -- Thur 2/7 Tuesday 2/12 (make sure to turn in both assignment 1 and 2 on this Tuesday) 9.3 Section 9.2 #6, 18, 20, 24, 34
Section 9.3 #8, 16, 18, 34, 37
(note you don't need to do #25 and 33 from section 9.3 yet)

1 -- Tue 2/5 Tuesday 2/12 9.1 and 9.2 Section 9.1 #5, 8, 10, 14, 28, 31 and 33
(note: odd-numbered answers are in the back of the book - feel free to check your answers this way, but do the problems on your own first!!)

Assigned in class on:	Assignment Due Date:	Reading	Problems
20 - Thurs 4/25	Tues 4/30	13.8 and look at 13.9	Section 13.7 #3, 5, 13 and 19 and Section 13.8 #2, 4, 7, 17, 22 and 23
19 - Tues 4/23	Thurs 4/25	finish 13.6 and 13.7	13.6 #19 and 25 (yup, it's this short - enjoy!)
18 - Thurs 4/18	Tues 4/23	13.5 and 13.6 pages 960 to 963)	13.5 #6, 10(e through k), 19, and 25 and 13.6 #4, 5, 14 and 34
17 - Tues 4/16	Friday 4/19 (in CA's mailbox)	13.3 and 13.4	Section 13.3 #11, 13, 16, 23, 26 and section 13.4 #3, 21 and 15
No homework from	Thurs 4/11 to Tuesday	4/16 (study for the midterm!)
16 -- Tues 4/9	Thurs 4/11	13.2	Section 13.2 #3, 5, 10, 14, 17 and 35
15 -- Thurs 4/4	Tues 4/9	12.8 and 13.1	Section 12.7 #12, 23 and 30 Section 12.8 #4, 11, 19 and 29 Section 13.1 #6, 29-32 and please start Mathematica Lab 2, due next Thursday, April 11th
14 -- Tues 4/2	Thurs 4/4	12.7	Section 12.4 #19, 22, 29 Section 12.6 #8 and 22 Section 12.7 #5 and 9 Bonus question - find the volume of a four dimensional hypersphere of radius r (question 3 on page 893)
13 -- Thurs 3/21		12.5 and 12.6	No problems over Spring Break!
12 -- Tues 3/19	Thurs 3/21	12.2, 12.3, 12.4	Section 12.2 #7, 13, 14, 31 (uses Mathematica - and the command "Integrate[f[x,y], {x,0,1},{y,0,1}]") Section 12.3 #5, 13, 37, 41
11 -- Thurs 3/14	Tuesday 3/19	12.1	Section 11.8 #2, 8, 10 and 23
10 -- Thurs 3/7	Friday 3/15 (in your CA's mailbox by end of Friday)	11.6, 11.7 and 11.8	Section 11.5 #7, 10, 17, 18, 24, 28 Section 11.6 #8, 16, 20, 26 and 44 Section 11.7 #4, 8, 16 and 26
9 -- Tues 3/5	Thurs 3/7	11.4 and 11.5	Section 11.4 #4, 12, 15, 16, 40 Mathematica Lab
8 -- Thur 2/28	Tuesday 3/5 Don't forget the Mathematica assignment due on Thurs 3/7	11.2 and 11.3	Section 11.1 #12-14, 23, 24, 31-34 Section 11.2 #13, 14, 34 Section 11.3 #8, 9, 14, 18, 26, 48, 78 and bonus question - find the limit, if it exists, of (x³ y²) / (x⁴ + y⁸)as (x,y) -> (0,0)
7 -- Tue 2/26	Thursday 2/28	10.5 and 11.1	Section 10.5 #12-14, 18 and 22 Section 11.1 #12-14 and bonus question 10.5 #32(a)
6 -- Thu 2/21	Tuesday 2/26	10.2 and 10.3 up through arc length	Section 10.1 #4, 19, 20 Section 10.2 #6, 18, 21, 40-42, 45 Section 10.3 #2, 4
5 -- Tue 2/19	Thursday 2/21	9.7 and 10.1	Section 9.7 #6, 8, 16, 30, 34 Section 10.1 #5-10
4 -- Thur 2/14	Tuesday 2/19	9.5 and 9.6	Section 9.5 #4, 5, 20, 36, 48, 49 Section 9.6 #12, 15, 17, 23, 24, 33
3 -- Tue 2/12	Thursday 2/14	9.4	Section 9.3 #25, 33 Section 9.4 #8, 9, 16, 18, 27
2 -- Thur 2/7	Tuesday 2/12 (make sure to turn in both assignment 1 and 2 on this Tuesday)	9.3	Section 9.2 #6, 18, 20, 24, 34 Section 9.3 #8, 16, 18, 34, 37 (note you don't need to do #25 and 33 from section 9.3 yet)
1 -- Tue 2/5	Tuesday 2/12	9.1 and 9.2	Section 9.1 #5, 8, 10, 14, 28, 31 and 33 (note: odd-numbered answers are in the back of the book - feel free to check your answers this way, but do the problems on your own first!!)

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