Lecture

Topic

Sections

Problems

1

Integration Review

 5.3-5.5

 5.3: 3,27
 5.4: 7,15,19,45
 5.5: 9,11,13,17,19,21,29,33,39

2

Numerical Integration

 5.8

 5.8: 3,7,11,13,19,21,27,29

3

Area between curves

 6.1

 6.1: 1,3,5,9,12,13,15,19,24,31

4

Volumes

 6.2

 6.2: 1,5,7,9,13,15,20,25,31,35,41,42,55,59

5

Volumes, Applications

 6.2, 6.6

 6.6: 5,9,15,17,21

6

Applications

 6.6

 6.6: 25,28,29,39,49,53,57

7

Integration by Parts; Integration Tables

 7.1, 7.2

 7.1: 3,5,11,13,15,17,27,31,42,47,53
 7.2 1,3,7,13,17,21,22,26,35,37

8

Trig. integrals, partial fractions

 7.3, 7.4

 7.3: 5,7,11,12,13,17,19,22,49,53,57,  7.4: 1,2,5,7,11,15,17,19,23,27,29,31,57,59

9

Differential Equations
Separable equations

 5.6

 5.6: 1,5,7,9,11,17,20,21,23,25,27,29,45,47,61,63

10

Differential Equations
First order

 7.6

 7.6: 1,5,11,13,23,24,25,28,25,43

11

Improper Integrals

 7.7

 7.7: 3,5,13,17,19,21,25,27,31,33,35,39,47,49

12

FIRST MIDTERM

13

Taylor polynomials

 G2.1

G2.1: 1,5,7,13,15,17,19,22,27,29,30

14

Sequences

 8.1

 8.1: 5,9,13,17,23,25,31,42-45,47

15

Geometric Series

 8.2

 8.2:3-8,15,16,23,25,33,39,41,49,53,56

16

Convergence tests

 8.3,8.4

 8.3: 3,4,5,7,9,13,15,19,21,29,33,43,45,55
 8.4: 1,3,9,12,13,17,19,27,33,37,47,53

17

Ratio and root tests

 8.5

 8.5: 3,5,7,9,13,17,21,29,33,39,53

18

Absolute convergence
Alternating series

 8.6

 8.6: 5,7,9,11,13,17,21,25,31,35,39,49

19

Power series

 8.7

 8.7: 1,5,9,11,13,17,21,25,31,35,39,49

20

SECOND MIDTERM

21

Taylor series

 8.8

 8.8: 3,7,13,21,25,31,33,39,49,55,60,69

22

Functions of several variables

 G1.1

G1.1: 7,3,15,15,17,18,19,23-26

23

Partial Derivatives

 G1.2

G1.2: 3,4,9,15,18,25,26,27,28,35

24

Maxima and Minima

 G1.3

G1.3: 3,5,8,11,12,14,16,17,23,26,29,31,33

25

Constrained Optimization

 G1.4

G1.4: 1,5,9,11,12,13,15,18,19,25,26

26

Least Squares
Regression

 G1.5, G1.6

G1.5: 1,3,5,9,11,15
G1.6: 1,3,5

27

Double Integrals

 G1.7

G1.7: 1,3,5,6,9,11,13,14

28

Catch-up, review