Errata - CLP 2

This is a list of errors in the CLP 2 textbook identified since May 13, 2023.

Date Page Section Description of error Who reported it
August 4, 2023 P.210 Section 1.12 The last integral in Theorem 1.12.22 is missing the "dx". Vicky Nguyen
December 4, 2023 P.257 Section 2.4 In the second last bullet of Example 2.4.15, "12.7 billion" should be "25.4 billion". Saksham Joshi
January 12, 2024 P.16 Section 1.1.3 The last word of Section 1.1.3 should be "function" rather than "functional". Lyndon Ho
January 13, 2024 P.27 Section 1.1.6 Near the end of Example 1.1.18, "This exactly the left Riemann sum" should be "This is exactly the left Riemann sum". Raymond Lu
January 29, 2024 P.161 Section 1.10 The very last term of Equation 1.10.11 in Section 1.10 should have $$C_{k,n_k}$$ instead of $$C_{1,n_k}$$ in the numerator. Pinn Yee Scott
February 18, 2024 P.255 Section 2.4 In the second sentence of Example 2.4.13 "temperature of the body 1s" should be "temperature of the body is". Riku Komiya
February 21, 2024 P.185 Section 1.11.4 Just before the figure in Section 1.11.4 $$\text{approx value of $\int_a^b f(x)\,dx$ given by $n$ Simpson's steps } \approx \int_a^b f(x)\,dx+K_M\cdot \frac{1}{n^4}$$ should be $$\text{approx value of $\int_a^b f(x)\,dx$ given by $n$ Simpson's steps } \approx \int_a^b f(x)\,dx+K_S\cdot \frac{1}{n^4}$$ Raymond Lu
March 17, 2024 P.100 Section 1.6 In the second last bullet of Example 1.6.9 "When we rotate the region about the line y=0" should be "When we rotate the region about the y-axis". Caleb Cheuk
March 31, 2024 P.196 Section 1.12 The first sentence after Definition 1.12.4 should end with a period. Omar Bseiso
April 7, 2024 P.273 Section 3.1 In the second last line of Example 3.1.11 $$a_n=1,\ b_n=1+\frac{\pi_n}{n},\ \text{and}\ c_n=1+\frac{9}{n}$$ should be $$a_n=1,\ c_n=1+\frac{\pi_n}{n},\ \text{and}\ b_n=1+\frac{9}{n}$$ Emma Savu
April 17, 2024 P.187 Section 1.11.4 In the third paragraph after Figure 1.11.1 in Section 1.11.4, "0000166" appears three times. It should be "0.0000166". Seabert Yuan

This is a list of errors in the CLP 2 problem book identified since May 13, 2023.

Date Page Section Description of error Who reported it
June 17, 2023 P.300 Solutions section 1.4 In Solution S-19, just before the first displayed equation $$\tan^2 = \sec^2\theta-1$$ should be $$\tan^2\theta = \sec^2\theta-1$$. Peter Gledhill
July 24, 2023 P.83 Section 2.4 In Q[3] of Section 2.4, the first displayed equation should end with $$ f(x)\,g(y(x))$$ rather than $$ f(x)\,g(y(x)))$$. Manav Gill
August 27, 2023 P.118 Section 3.5 At the end of the first sentence of Q[24] of Section 3.5, "covergence" should be "convergence". Manav Gill
November 28, 2023 P.670 Section 3.4 In S[14] of Section 3.4, "379/720" should be "389/720". Jaibrian Greer
January 2, 2024 Section 1.11.6 In 1.11.6.15 in the solutions section of the online version, "cross--sectional" should be "cross-sectional". Vicky Nguyen
January 22, 2024 P.265 Section 1.2 In Solution S-3(a) of Section 1.2, $$-\int_{3}^{2} f(x) dx = -1$$ should be $$-\int_{3}^{2} f(x) dx = 1$$. Martin Wong
March 11, 2024 P.437 Section 1.11 About one third of the way through Solution S-33 of Section 1.1, $$\left|\frac{25(5x^4-10x^2+1)}{(x^2+1)^5}\right|$$ should be $$\left|\frac{24(5x^4-10x^2+1)}{(x^2+1)^5}\right|$$. Martin Wong
March 17, 2024 P.315 Section 1.5 In the last bullet of Solution S-17 in Section 1.5, $$A_2=\frac{9\pi}{8}$$ should be $$A_3=\frac{9\pi}{8}$$. Oliver Hartley
March 19, 2024 P.339 Section 1.7 At the end of Solution S-6 in Section 1.7, $$\int\underbrace{x}_{u}\underbrace{\log x\,d{x}}_{d{v}}$$ should be $$\int\underbrace{\log x}_{u}\ \underbrace{x\,d{x}}_{d{v}}$$. Steven Qin
April 17, 2024 P.120,224,692 Section 3.6 In part (c) of Question 4 in Section 3.6, change the definition of h to $$h(x)=\frac{\arctan(5x^2)}{x^2}$$ Then the answer becomes $$h^{(20)}(0)=-\frac{20!\cdot 5^{11}}{11};\quad h^{(22)}(0)=0$$
April 17, 2024 P.689 Section 3.5 In the second displayed equation of Solution S-27 in Section 3.5, "N(n+1)+1" should be "2(N+1)+1". Anthony Sheu
April 19, 2024 P.722 Section 3.6 In the big multiline displayed equation of Solution S-53 in Section 3.6, the red terms on the right hand sides of rows three and four should have denominator (2n+1)!, and blue terms on the right hand sides of rows three, four and five should have denominator (2n)!. Anthony Sheu