MA114

Calculus II

Course calendar

Spring '00

 

Date

Sections

Suggested problems

W 1/12

5.8 Evaluating definite integrals (review)

§5.8 1-56

F 1/14

6.4 Length of a plane curve

§6.4 #1, 5, 7, 9, 11, 13, 15, 17, 18*, 19*, 20*

M 1/17

Martin Luther King, Jr. holiday

 

W 1/19

6.5 Work

§6.5 #3, 4, 5, 6, 7, 9, 11, 19, 20, 21, 24, 27

F 1/21

7.1 The natural logarithm

§7.1 #1, 2, 3, 5, 7, 9, 11, 15, 17, 21, 27, 29, 31, 37, 41, 43*, 49*

M 1/24

7.2 Inverse functions and their derivatives

§7.2 #1, 3, 7, 9, 13, 15, 23, 35, 37, 39, 43, 45*

W 1/26

7.3 The natural exponential function

§7.3 #3, 5, 11, 13, 15, 17, 21, 23, 25, 29, 31, 33

F 1/28

7.4 General exponential and logarithm functions

§7.4 #3, 5, 7, 13, 27, 29, 31, 33, 39*, 42*, 43*

M 1/31

7.5 Exponential growth and decay

§7.5 #1, 3, 5, 7, 11, 13, 14, 26, 27, 32*

W 2/2

7.6 First-order linear differential equations

Last day to drop

§7.6 #1, 3, 5, 7, 11, 15, 17, 23*

F 2/4

7.7 Inverse trigonometric functions and their derivatives

§7.7 #1, 3, 5, 19, 21, 23, 29, 31, 37, 39, 41, 43, 49, 51, 53, 55, 57, 67, 68, 69, 71, 72

M 2/7

Review

 

T 2/8

Exam, 7:30-9:30pm, room tba

 

W 2/9

8.1 Integration by substitution

§8.1 #1, 3, 11, 13, 15, 29, 45, 47, 68*

F 2/11

8.2 Some trigonometric integrals

§8.2 #1, 3, 9, 19, 23, 32*, 33*

M 2/14

8.3 Rationalizing substitutions

§8.3 #1, 3, 5, 7, 17, 19, 29, 32, 33*

W 2/16

8.4 Integration by parts

§8.4 #1, 5, 9, 11, 13, 41, 45, 57, 59, 65, 88*

F 2/18

8.5 Integration by rational functions

§8.5 #1, 3, 5, 7, 11, 17, 21, 42*

M 2/21

Integration summary, Wallis product project

 

W 2/23

9.1 Indeterminate forms of type 0/0

§9.1 #1, 3, 5, 7, 15, 25*, 27

F 2/25

9.2 Other indeterminate forms

§9.2 #1, 3, 5, 11, 23, 27, 33, 45, 46*

M 2/28

9.3 Improper integrals: infinite limits

§9.3 #1, 3, 5, 11, 19

W 3/1

9.4 Improper integrals: infinite integrands

§9.4 #1, 3, 5, 7, 21, 23, 43, 45, 46*, 47*, 51*

F 3/3

Review

 

M 3/6

Review

 

T 3/7

Exam 7:30-9:30pm, room tba

 

W 3/8

10.1 Infinite sequences

§10.1 #1, 3, 5, 7, 9, 11, 13, 15, 17, 19,21, 23, 25, 37*, 38*, 39*, 51, 52*

F 3/10

10.2 Infinite series

Last day to withdraw

§10.2 #1, 3, 5, 7, 9*, 11, 13, 15, 17, 21, 23, 25, 27, 29*,

M 3/20

10.3 Positive series: The integral test

§10.3 #1, 3, 5, 9, 11, 13, 15, 17, 23, 25, 29, 30, 31, 32

W 3/22

10.4 Positive series: other tests

§10.4 #1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 31, 36*

F 3/24

10.5 Alternating series, absolute convergence and conditional convergence

§10.5 #1, 3, 5, 7, 9, 11, 17, 19, 25, 42*, 43*, 45*

M 3/27

10.6 Power series

§10.6 #1, 3, 5, 7, 9, 17, 19, 21, 23

W 3/29

10.7 Operations on power series

§10.7 #1, 3, 5, 7, 9, 13, 15, 25, 27, 33*, 34*, 35*

F 3/31

10.7 Operations on power series

 

M 4/3

10.8 Taylor and MacLaurin series

§10.8 #3, 7, 19, 21, 27, 29, 33c

W 4/5

11.1 The Taylor approximation to a function

§11.1 #1, 3, 9, 14, 17, 19, 21, 39, 41, 43, 49

F 4/7

Review

 

M 4/10

Review

 

T 4/11

Exam 7:30pm-9:30pm, room tba

 

W 4/12

11.2 Numerical integration

§11.2 #1, 5, 7, 9, 13, 17, 19*, 25, 26, 33*, 34*

F 4/14

11.3 Solving equations numerically

§11.3 #1, 3, 5, 7, 9, 11, 15, 17, 18*, 19*, 21, 25*

M 4/17

11.4 The fixed point algorithm

§11.4 #1, 3, 5, 7, 9, 19*

W 4/19

12.6 The polar coordinate system

§12.6 #1, 3, 9, 11, 13, 15, 17, 19, 23, 37*

F 4/21

12.7 Graphs of polar equations

§12.7 #1, 3, 7, 9, 13, 17, 21, 25, 27, 33, 35, 37, 43, 45

M 4/24

12.8 Calculus in polar coordinates

§12.8 #1, 3, 5, 7, 11, 13, 15, 17, 32*, 33

W 4/26

Review

 

F 4/28

Review

 

R 5/4

Final exam, CB114, 8-10am

 

 

Problems marked with a * are particularly interesting.