Comparison of popular textbooks for Math 3A
and some video supplements

Table shows only 9 weeks; midterms, review, etc are meant to be interspersed
HWT, SM, R are listed in decreasing order of parallelism with Stewart

Stewart  
6th edition 5th edition 4th edition HWT SM R An   TW(video)
Exponential functions
Inverse functions and logarithms		 1.5
1.6		 1.5
1.6		 1.5
1.6		 1.4
1.5		 0.3
0.4
0.5		 1.5
1.6		 0.4
0.5		   1.2
1.3
Tangent and velocity problems
Limit of a function
Calculating limits 		2.1
2.2
2.3		 2.1
2.2
2.3		 2.1
2.2
2.3		 2.1
2.2		 1.1
1.2
1.3		 2.1
2.2
2.3
2.5		 2.1
1.1
1.2		   2.1
2.2
Continuity
Limits at infinity		 2.5
2.6		 2.5
2.6		 2.5
2.6		 2.4
2.5
2.6		 1.4
1.5		 2.4
4.5 (250-255)		 1.5
1.3		   3.1
3.2
Derivatives and rates of change
The derivative as a function		 2.7
2.8		 2.7
2.8
2.9 		2.7
2.8
2.9 		2.7
3.1		 2.1
2.2		 3.1
3.2		 2.1
2.2		   4.1
4.2
Polynomials and exponential functions
Product and quotient rules
Derivatives of trig functions		 3.1
3.2
3.3		 3.1
3.2
3.4 		3.1
3.2
3.4 		3.2
3.3
3.4		 2.3
2.7 (206-210)
2.4
2.6		 3.2
3.10(partially)
3.3
3.6		 2.3
2.4
2.5		   5.1-5.2
5.3
5.4
Chain rule
Implicit differentiation
Derivatives of logarithmic functions		 3.4
3.5
3.6		 3.5
3.6
3.8 		3.5
3.6
3.8 		3.5
3.6
3.7		 2.5
2.8
2.7 (210-213)		 3.7
3.8
3.10(partially)		 2.6
3.1
3.2		   6.1
6.3-6.4
6.2
Natural and social sciences
Exponential growth and decay
Related rates		 3.7
3.8
3.9		 3.3
9.4
3.10 		3.3
9.4
3.10 		3.3
6.5
3.9		 3.9
7.1
3.8		 3.4
5.8
3.11		 3.3
3.4		   7.1
7.2
Maxima and minima
Mean value theorem
The shape of graphs		 4.1
4.2
4.3		 4.1
4.2
4.3		 4.1
4.2
4.3		 4.1
4.2
4.3		 3.3
2.9
3.4
3.5		 4.2
4.3
4.4		 4.1
4.2
4.4		   8
Indeterminate forms, L'Hospital's rule
Summary of curve sketching
Optimization		 4.4
4.5
4.7		 4.4
4.5
4.7		 4.4
4.5
4.7		 4.6
4.4
4.5		 3.2
3.6
3.7		 4.7
4.5
4.6		 3.6
4.5		   9.1-9.2
8.4
9.3

Stewart = "Single Variable Calculus" by James Stewart ( 4th, 5th or 6th 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, 3rd edition.
R "Calculus: Early transcendentals" by Jon Rogawski, 1st edition.
An "Calculus: Early transcendentals" by Howard Anton, Irl Bivens, Stephen Davis, 9th edition.
TW Thinkwell's Calculus by Edward Burger (online purchase), meant as a supplement only. A less professional, less organized, less reliable, but FREE alternative can mostly be accessed via YouTube, e. g. search there on [ patrickjmt "chain rule" ] .

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