Math 21C Homework

Classical Homework Assignments

Problems that are labeled with BOLD are the only ones required for submission. Even though the other problems are optional, you are responsible for knowing how to solve all of them and are highly encouraged to try as many as possible. Solutions will be posted after the homework is due.

Solutions are provided by Dr. Kouba.

HW#1: Due Wednesday, August 9

Section 11.1 (pg 741): #2, 3, 4, 8, 11, 12, 13, 16, 18, 22(Hint: Use greatest integer function), 24(Use Sandwich Theorem), 28, 29, 31, 35(Use Sandwich Theorem), 36, 38, 39, 42(Use Sandwich Theorem), 44, 45, 48, 50, 56, 59(Use Sandwich Theorem), 70, 74, 75, 81, 85, 94(Assume x>1)

Section 11.2 (pg 753): #7, 8, 12, 14, 16, 19, 24, 25, 26, 28, 30, 34, 36, 37, 39,52, 53, 66, 70, 73, 75

Section 11.3 (pg 759): #3, 5, 6, 7, 9, 12, 14, 16, 20, 22, 23, 25, 28, 33ab, 42

Solutions

HW#2: Due Monday, August 14

Section 11.4 (pg 765): #2, 3, 6, 8, 9, 11, 14, 15, 19, 20, 22, 23, 25, 28, 29, 34, 36, 38, 40

Section 11.5 (pg 770): (Using Ratio or Root Test)#1, 4, 5, 12, 14, 18, 19, 21, 22, 28, 29, 37, 40, 43 and (Using Any Test)#6, 7, 8, 10, 11, 13, 15, 23

Section 11.6 (pg 776): #1, 3, 4, 5, 6, 9, 10, 12, 13, 15, 16, 18, 21, 23, 26, 27, 29, 34, 38, 39, 46, 50, 54, 58

Solutions

HW#3: Due Wednesday, August 16

Section 11.7 (pg 788): #1a, 4a, 6a, 7a, 10a, 12a, 17a, 22a, 23a, 25a, 27a, 34, 36, 46

Section 11.8 (pg 794): #1, 4, 6, 8, 9 (Use Maclaurin series for e^x), 10 (Use Maclaurin series for e^x), 11 (Use Maclaurin series for 1/(1-x)), 13 (Use Maclaurin series for sin x), 23, 25, 26 (Use Maclaurin series for 1/(1-x)), 27, 33, 35

Solutions

HW#4: Due Monday, August 21

Section 11.9 (pg 788): #1, 6, 8, 12, 13, 15, 17, 18, 19, 22, 23, 31, 32, 42

Solutions

HW#5: Due Wednesday, August 23

Section 12.1 (pg 836): #1, 3, 6, 8, 12, 13, 14, 16ac, 17b, 18, 20-22, 24, 25, 26, 28, 30, 31, 32, 33, 36, 37, 41, 46, 49, 52-54

Section 12.2 (pg 844): #1, 4, 6, 7, 9, 10, 11-13, 16, 18, 21, 23, 25, 28, 29, 31, 33, 35, 38, 40, 41, 43, 46

Solutions

HW#6: Due Monday, August 28

Section 12.3 (pg 854): #1, 4, 7, 10, 12, 13, 16, 18, 19, 21 (Use Properties of Dot Product), 26, 28, 29, 31, 45, 51 (Don't use results from #33,34. Simply use basic facts about vectors and lines.)

Section 12.4 (pg 862): #2, 3, 7, 9, 10, 14, 16, 19, 20, 23, 27, 28, 29, 31, 33, 36, 40

Section 12.5 (pg 871): #1, 4, 6-8, 10, 21, 22, 24, 25, 28, 31, 34, 43, 45, 47, 55, 59, 67

Solutions

HW#7: Due Wednesday, August 30

Section 14.1 (pg 957): #2ab, 3ab, 7ab, 8ab, 9ab

Section 14.2 (pg 966): #1, 4, 9, 12, 14, 16, 20, 35, 36, 37, 38, 41 and (pg. 1044) #12, 16

Section 14.3 (pg 978): #2, 7, 10, 13, 16, 21, 43, 45, 46, 54, 57, 65, 66, 69, 72

Section 14.4 (pg 987): #1 (Change the function to w = x^2 + 2y), 6, 8, 9, 14, 15, 20, 22, 24, 26, 28, 40, 41, 42a

Solutions

HW#8: Due Tuesday, September 5

Section 14.5 (pg 997): #2, 3, 5, 8, 10, 13, 14, 17, 20, 27, 31, 32a

Solutions