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MA2321—Michaelmas Term 2015 Errata in distributed printed notes p.27, line 2 L.H.S. of displayed equation should read h(t2 ) − h(t1 ) p 30 last √ line of√second √ example√- change s + h − s to s + h + s in denominator. p.47 the definition of interval in the first sentence of subsection 4.11 has been corrected, replacing (s, t) ∈ I by (s, t) ⊂ I, replacing X by R. In the following sentence, t has been replaced by x. p.47, Lemma 4.20 replace p(s + th) by p(t) p.47, 1 line from bottom replace p(n) by p(n) (0); hn f (n) (s) f (n) (s) by p.47, bottom line replace n! n! p.54, line 3 leading term of pn (x) should be (−1)k−1 k!xk−1 p.64, bottom Insert closing parenthesis after f (xi−1 ) to balance the opening parenthesis in the summation p.86, swap “odd” and “even”, as in revised version p.87, 6.20 line 11 of proof of Theorem 6.20 change m − 1 to n − 1. p.105, bottom correct expression for derivative of ub,c . p.106 function f in statement of Proposition 7.10 is not required to be continuous. p.106 change δ to δ0 . p. 115-121 the text of subsection 7.7 has been edited to eliminate references to “C 2 ” functions. Updated April 24, 2015. 1