## Errata - CLP 4

This is a list of errors in the CLP 4 textbook identified since August 31, 2021.

Date Page Section Description of error Who reported it
October 22, 2021 P.267 Appendix B.2 In the second last bullet of Appendix B.2 both instances of $$\lim_{x\rightarrow 0}$$ should be $$\lim_{x\rightarrow 0+}$$
December 1, 2021 P.208 Section 4.3 In the first bullet of Example 4.3.8, the $$y(t)=a\cos t$$ just before the displayed equation should be $$y'(t)=a\cos t$$. Eric Souder
December 16, 2021 P.4 Chapter 1 In the first line of Example 1.0.5, "parametrize part of, but all of" should be "parametrize part of, but not all of". Hod Kimhi
January 6, 2022 P.206 Section 4.2 In the combined and online versions only, a few lines before the end of the proof of the Divergence Theorem, "S_c uparrow is the surface S_c with normal vector -k" should be "S_c uparrow is the surface S_c with normal vector +k" Simon Ghyselincks
January 18, 2022 P.10 Section 1.1 In Lemma 1.1.5, there is one extra opening bracket inside each of the two square roots. Steven To
March 3, 2022 P.34 Section 1.4 In the last displayed equation of Example 1.1.4, the unit vector multiplying sin t should be j rather than i. Jack Gao
March 18, 2022 P.176 Section 4.2 In the definition of V at the beginning of Example 4.2.4, "(x,y,z" should be "(x,y,z)". Steven To
March 18, 2022 P.180 Section 4.2 Near the beginning of the solution in Example 4.2.6 "the integral of Example 4.2.6" should be "the integral of Example 4.2.5". Steven To
April 26, 2022 P.203 Section 4.3 The integral in the first displayed equation of Example 4.3.4 should end with a "]". Jack Gao
July 8, 2022 P.97 Section 3.1 In footnote 1 of Section 3.1 "Of courses we can" should be "Of course we can". Jason Bai
July 9, 2022 P.20 Section 1.2 In the third last displayed equation of Example 1.2.2 $$2\cos^2\big(T(s)-1$$ should be $$2\cos^2\big(T(s)\big)-1$$ and in the second last displayed equation of Example 1.2.2 $$1-2\sin^2\big(T(s)$$ should be $$1-2\sin^2\big(T(s)\big)$$. Edmund Shi
July 10, 2022 P.117 Section 3.3.3 In the first paragraph of Section 3.3.3, just before the first displayed equation "f(x,z)" should be "f(x,y)". Jason Bai
July 10, 2022 P.118 Section 3.3.3 Just before equation (3.3.3), "(3.3.1)" should be "(3.3.2)". Jason Bai
July 14, 2022 P.161 Section 4.1.2 In the second last displayed equation of Section 4.1.2 $$-B_3(x,y,\tilde z$$ should be $$-B_3(x,y,\tilde z)$$. Jason Bai
July 14, 2022 P.167 Section 4.1.5 Just before the first figure in Section 4.1.5, "left arm point towards" should be "left arm pointing towards" and "your are facing" should be "you are facing". Jason Bai

This is a list of errors in the CLP 4 problem book identified since August 31, 2021.

Date Page Section Description of error Who reported it
November 25, 2021 P.327 Solutions to section 4.1 S-7b: The z component of the gradient should be 2z rather than 2. Simon Larose
February 4, 2022 P.31 Section 2.3 Q[15]: In the definition of F, the third term g(y)h'(z) should be multiplied by the standard unit vector in the z direction. Steven To
April 11, 2022 P.18 Section 1.6 Q[4]: Near the beginning, "radius r" should be "radius 1".
April 19, 2022 P.iv,31 Section 2.4 In the title of Section 2.4, "Integals" should be "Integrals". Eve Sankar
April 24, 2022 P.137,367 Section 4.2 The final answer to Q[40] of Section 4.2 is $$\pi\frac{23}{6} 5^3=\frac{2875}{6}\pi$$. Julia Rees
July 4, 2022 P.238 Section 2.4 The function in the solution to Q[2(c)] of Section 2.4 should have been the function given in the question. It really does give Option A. Jason Bai
July 14, 2022 P.69 Section 4.3 In Q[2] of Section 4.3, "couterclockwise" should be "counterclockwise". Jason Bai
July 15, 2022 P.33,238 Section 2.4 In Q[2(c)] of Section 2.4, and also in its solution, "1/z" should be "z". Jason Bai