Changes since the original 2013 edition. These changes are reflected in the current versions of the book. 8/7/2013 Example 1.3.1: "minimum of a and b" -> "min(a,b)/2" Discussion after theorem 11.2.2 (13.2.2 in late trans): add proviso that c is non-zero. Fixed missing header and contents entry for section 6.4 8/11/2013 Exercise 4.10.17 (late: 4.7.13): fixed typo, 3/u->3u. 9/17/2013 Removed extraneous comma in section 13.2, displayed equation following "what an antiderivative must be, namely" (late: 15.2) 9/18/2013 In example 13.2.4 (late: 15.2.4), <1,0,4>-->(1,0,4). In example 13.2.6 (late: 15.2.6), <1,0,1>-->(1,0,1). In example 13.2.7 (late: 15.2.6), <1,1,1>-->(1,1,1). 9/19/2013 Example 13.3.5 (late: 15.3.5), "|s''(t)|=2" --> "|s''(t)|=4" 10/9/2013 Added reference to example 14.5.1 in example 14.5.2 (late: 16.5.1-2) 10/10/2013 \sqrt3/9 --> 1/\sqrt3 in example 14.7.8 (late: 16.7.8) 10/11/2013 Exercise 14.7.9 (late: 16.7.9): Clarify that "length" is the largest dimension. 10/16/2013 Exercise 14.8.2 (late: 16.8.2): Change answer to give requested volume instead of dimensions. 10/17/2013 Exercise 14.8.12 (late: 16.8.12): Reword to make use of Lagrange multipliers more apparent. 10/28/2013 Exercise 4.7.15, correct answer. 10/29/2013 Added area of ellipse to formulas appendix. 11/02/2013 Exercise 8.1.17 (late 7.4.17): added "+C". Also altered wording of instructions. 11/03/2013 Example 8.4.3 (late 10.3.3): add missing dx to du, line 3. 11/05/2013 Exercise 15.6.9 (late 17.6.9): change \le to = Section 15.7 (17.7) Added simplified vector to first calculation of a cross product. 11/06/2013 Example 15.7.1 (late 17.7.1): "The boundary of the ellipse is $x^2-xy+y^2\le 2$" -> "The boundary of the ellipse is $x^2-xy+y^2=2$" 11/08/2013 Exercise 4.10.12: 1/3-->3. Exercise 5.2.17: reword. 11/22/2013 Added back lost link to a live applet in Figure 16.7.1 (late 18.7.1). 12/04/2013 Exercise 16.7.11 (late 18.7.11): answer 4/3 --> 9280 1/30/2014 Exercise 1.3.7: h need not be positive. 8/13/2014 Moved exercise 4.7.22 to section 4.8 (early transcendentals only). Removed erroneous minus sign in the last displayed equation on page 91, in example 4.8.1 (page 84, example 4.6.1 in late transcendentals). 8/21/2104 Example 6.1.9: A'(x) = -6x^2 + 2a. 9/14/2014 Exercise 12.6.10 (late 14.6.10) is the same as an example. Change to x^2+y^2=9. 9/16/2014 Exercise 12.6.11 (late 14.6.11) Change answer to \phi=\pi/4 9/20/2014 Change "investigate" to "describe" in first 4 exercises of 13.1 (15.1). In example 12.5.6 (14.5.6) add generic formula for distance from point to plane. 10/ 1/2014 Section 14.2(16.2): Make the definition of continuous an actual numbered definition. 10/ 7/2014 Example 14.7.6 (16.7.6) move some \quads so they don't mess up the html version. 10/10/2014 Fix answer to 13.2.12 (15.2.12) 10/14/2014 Fix java applet inclusion in 14.8 (16.8) 10/23/2014 Fix labels on figure 15.2.3 (17.2.3) 10/29/2014 Exercise 10.1.4 (12.1.4) Fix wrong answer. 10/30/2014 Very minor change to figure 4.11.2 (9.6.2) Fix answer to 10.3.5 (12.3.5) 11/3/2014 Fix typo in answer to 10.4.6 (12.4.6) 11/5/2014 Fix caption for figure 7.3.1 (7.3.1) 11/11/2014 Fix description of vector field shown in figure 16.1.1 (18.1.1) 11/18/2014 Fix typo in 16.5 (18.5): "left side" --> "right side" 12/10/2014 In 8.06, added note that n is even for Simpson's rule, and fixed formatting associated with Sage worksheets. 1/14/2015 Fix answer to 14.7.19 (16.7.19) 1/31/2015 Clarify example 14.2.1 (16.2.1) 2/15/2015 Correct answer to 14.8.10 (16.8.10)