Note: Assigned problems are announced in class by the instructor. The instructor also chooses to cover either Sections 7.2, 7.3, 7.4 or Sections 7.2*, 7.3*, 7.4*

Section

Topic

Suggested exercises

5.2

Definite integral

334/1,5,8,33

5.3

Fund. Thm. of Calculus

344/1,16,29

5.4

Indefinite integrals

352/13,32

5.5

Substitution

361/3,6,8,17,19,31,39,45

6.1

Area between curves

376/1,2,3,11,14,21

6.2

Volume

387/1,5,6,23,25,26,33,35,40,43,47,55,59,60

7.1

Inverse functions

414/7,9,15,16,21,22,27,40,43

One of the next two blocks of three sections:

[7.2

Exponential functions

425/1,11,13,17,24,29,38,55,63,72

7.3

Logarithmic functions

433/1,5,7,18,23,32(b),33(b), 45,47,55

7.4

Derivatives

443/1,3,4,5,12,19,20 25,28,31,51,64,69,74,75,81]

OR:

[7.2*

Natural logarithms

452/2,7,11,15,16,18,25,26 32,43,54,59,64,65,68

7.3*

The exponential function

458/3,5,6(a),19,21,26,29,40,45,57,68

7.4*

General log and exp functs.

467/1,2,5,9,17,28,31,39,43,49]

10.4

Exponential growth

644/3,5,7,10,11

7.5

Inverse trig functions

476/3,5,7,12,23,34,47,61,68

7.7

l'Hospital's rule

493/1,3,4,11,15,17,18,23,29,32,47,53,57,63

8.1

Integration by parts

508/1,2,3,7,9,12,21,29,37,41,45,47

8.2

Trigonometric integrals

515/3,9,15,20,25,31,57

8.3 (optional)

Trig. substitutions

522/1,2,3,4,5,8

8.4

Partial fractions

532/3,5,8,13,17,30

8.5 (optional)

Strategy

538/1,9,13,17,19,25

8.7

Approximate integration

554/1,3,5,9,17,23,31,34

8.8

Improper integrals

565/2,3,5,7,11,14,17,28,35,37,40,49,53

12.1

Sequences

736/4,5,8,13,17,22,27,32,35

12.2

Series

745/2,6,9,10,11,19,29,33,37,43,44,49,50,60

12.3

Integral test

754/7,9,10,15,18,25,35

12.4

Comparison test

759/2,5,9,11,12,17,18,19,31,37

12.5

Alternating series

764/2,3,4,11,13,17,18,23,26,27,31,33

12.6

Ratio, root tests

770/1,3,4,5,7,9,17,20,24,30,33,35

12.7 (optional)

Strategy

773/5,6,12,21,25,33,35

12.8

Power series

778/3,5,7,11,18,20,27,29,30,38

12.9

Functions as power series

783/1,4,7,8,15,16,17,19,20,25

12.10

Taylor series

794/2,4,5,12,13,15,18,25,27,29,35,37,41,54

11.1

Parametric curves

679/1,4,7,11,17,19,20,22,28

11.2

Tangents

687/3,5,8,11,13,17,31

9.1, 11.3

Arclength

580/5,8,9,11; 693/1,4,5,9,10,15

11.4

Polar coordinates

702/1,3,5,6,11,17,18,19,25,34,35,37,45,56

11.5

Area and polar coordinates

708/3,7,12,13,19,21,24

13.1

Coordinates in 3-space

821/1,3,5,7,8,9(a),12,13,15,20,31

13.2

Vectors

828/5,6,9,11,13,16,17,21,23,25,31

13.3

Dot product

836/1,2,3,5,9,11,17,20,27,28,33,41

13.4

Cross product

843/3,7,9,11,15,23,27,31

13.5

Lines and planes

852/3,5,11,15,19,25,29,33,37, 41,47,59,61

Last updated by J. F. Hurley 1/21/02