Course notes
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Course notes errata

Location (Chap. 1) Correction
Location (Chap. 2) Correction
page 6 The text above Remark 1 should read "Replacing C by -f(a) ..."
page 6some of the decimal expansions in the box at the top are approximate (not exactly equal); same with 1/3 further down
page 12line 5 formula has extra f(x_k) and delta x; on line 7, extra delta x
page 15first integral has value 100/3 (only approximately 333.33)
Location (Chap. 3) Correction
page 8in solution of 3., cos(0)=1 (not -1)
Location (Chap. 4) Correction
page 4in (4.3), y(0) = y_0 (not 0)
Location (Chap. 5) Correction
Section 5.1Most references to "surface" in this section should actually refer to "volume".
Location (Chap. 6) Correction
page 3line 9: in defn. of f'(x), limit as Delta x -> 0 (not x -> 0)
page 23About 1/3 of the way down the page: "Then du = sec(x) tan(x) dx while dv = ...". The "dv" should be a "v".
page 25#5 should be -cos(u) + C (not cos(u) + C)
Location (Chap. 8) Correction
page 4The formulas for (and explanation of) mean and variance are a little confusing. First of all, the xi here are not the same as in Fig. 8.1. The x is a random variable -- some quantity we are interested in (such as the number of "heads") which depends on the outcome of the random events (such as tossing a coin) -- which can take on the possible values x0, x1, x2, etc. For the example where x = # of "heads" in n coin tosses, the possible values are x0=0, x1=1,...,xn=n; that is, xi = i for i=0,1,...,n (the index set doesn't always have to be i=0,1,..,n, but it is in this example). Then the expected value (or mean) of the random variable x is given by
sum{i=0}n xi p(xi) = x0 p(x0) + x1 p(x1) + ... + xn p(xn),
where p(xi) is the probability that x takes the value xi (you could also write this as p(x = xi)).
page 8The "multiplication principle" can be stated more generally for any two events e1 and e2:
P(e1 and e2)=P(e1)P(e2 assuming that e1 happened.)
page 9The "addition principle" as stated is for mutually exclusive events e1 and e2 (not independent events). More generally, for any two events (mutually exclusive or otherwise):
P(e1 or e2) = P(e1) + P(e2) - P(e1 and e2)
page 16in Fig. 8.3 (b) and (c) it should be P(n,k) = n(n-1)(n-2)...(n-k+1) (the product should not go to (n-k) as shown)
Location (Chap. 9) Correction
page 8 Section 9.2.1 should be titled Random Non-assortative Mating. Assortative mating refers to the case in which individuals with the same alleles are more likely to mate with each other than with those having the other alleles (e.g. AA mates with AA preferentially over Aa).