3B textcompare

Comparison of popular textbooks for Math 3B

Table shows only 9 weeks; midterms, review, etc are meant to be interspersed

Stewart HWT SM R An

Antiderivatives
Area and Distance 4.10
5.1 4.8
5.1-5.2 4.1 (343-345)
4.3 4.9
5.1 5.1
5.7

The Definite Integral
Fundamental Theorem of Calculus 5.2
5.3 5.3 (332-340)
5.4 4.4 (369-377)
4.5 5.2
5.3
5.4 5.4
5.5
5.6

Indefinite Integrals
Total Change Theorem
Substitution Rule 5.4
5.5 5.5
5.6 4.1 (346-351)
4.6 5.5
5.6 5.2
5.3

Area between Curves
Volumes 6.1
6.2 5.6
6.1 5.1
5.2 6.1
6.2
6.3 6.1
6.2

Cylindrical Shells
Work
Average value of a function 6.3
6.4
6.5 6.2
6.6
5.3 (340-341) 5.3
5.6 (484-488)
4.4 (377-380) 6.4
6.5 6.3
6.6
5.8
Integration by Parts
Integration by table or computer 7.1
7.6 7.1
7.5 6.2
6.5 7.2
∅ 7.2
7.6

Approximate Integration
Partial fractions 7.7
7.4 (Cases I-III) 7.6
7.4 4.7
6.4 7.1
7.6 7.7
7.5

Improper Integrals
Arc Length
Area of a Surface of Revolution 7.8
8.1
8.2 7.7
6.3
6.4 6.6
5.4 7.7
8.1 7.8
6.4
6.5

Applications to Science 8.3 6.7 (center of mass)
hydrostatic pressure 5.6 (489-493) 8.2
8.3 6.7
6.8

Stewart = "Single Variable Calculus" by James Stewart ( 4^th, 5^th or 6^th edition). The 6th edition is also available as an ebook
HWT = "University Calculus" by Joel Hass, Maurice Weir, George B Thomas (e-text version)
SM = "Calculus; Early Transcendental Functions" by Robert Smith, Roland Minton, 3^rd edition [You can get access to an on-line but non-printable version here. Click under first time user, then under "I am a student", then "I do not have a registration code"].
R "Calculus: Early transcendentals" by Jon Rogawski, 1^st edition.
An "Calculus: Early transcendentals" by Howard Anton, Irl Bivens, Stephen Davis, 9^th edition.

$Department of Mathematics, South Hall. Room 6607 University of California Santa Barbara, CA 93016, phone (805) 893-2171, fax (805) 893-2385, email www@math.ucsb.edu, office hours m-f 8-12, 1-4$

	Stewart	HWT	SM	R	An
Antiderivatives Area and Distance	4.10 5.1	4.8 5.1-5.2	4.1 (343-345) 4.3	4.9 5.1	5.1 5.7
The Definite Integral Fundamental Theorem of Calculus	5.2 5.3	5.3 (332-340) 5.4	4.4 (369-377) 4.5	5.2 5.3 5.4	5.4 5.5 5.6
Indefinite Integrals Total Change Theorem Substitution Rule	5.4 5.5	5.5 5.6	4.1 (346-351) 4.6	5.5 5.6	5.2 5.3
Area between Curves Volumes	6.1 6.2	5.6 6.1	5.1 5.2	6.1 6.2 6.3	6.1 6.2
Cylindrical Shells Work Average value of a function	6.3 6.4 6.5	6.2 6.6 5.3 (340-341)	5.3 5.6 (484-488) 4.4 (377-380)	6.4 6.5	6.3 6.6 5.8
Integration by Parts Integration by table or computer	7.1 7.6	7.1 7.5	6.2 6.5	7.2 ∅	7.2 7.6
Approximate Integration Partial fractions	7.7 7.4 (Cases I-III)	7.6 7.4	4.7 6.4	7.1 7.6	7.7 7.5
Improper Integrals Arc Length Area of a Surface of Revolution	7.8 8.1 8.2	7.7 6.3 6.4	6.6 5.4	7.7 8.1	7.8 6.4 6.5
Applications to Science	8.3	6.7 (center of mass) hydrostatic pressure	5.6 (489-493)	8.2 8.3	6.7 6.8