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Models of Computation - Mathematics 450 - Spring 2001



HW #    Due Date    Read Do
-- Tue 8 May Final Exam  
15 Wed 2 May Pages.123-4, 126, + Theorems 2.3, 2.6, 2.7, 2.9, 2.14. p. 132: 2, 5, 7, 8.
14 Wed 25 Apr Page 121, + Theorem 1.3 on page 122.. p. 119: 5, 7(b,c -- don't have to use book's hints or methods; use Church's Thesis to just prove the conclusions).
p. 122: 1(a). 
13 Mon 23 Apr Section 6.6. p. 119: 1, 3, 4.
12 Wed 18 Apr Section 6.3 (page 107). p. 106: 1bcdeh.
11 Mon 16 Apr Section 6.1. (For proofs that use the s-m-n Theorem or the universal function, try to modify them to use Church's Theorem only.) p. 106: 1afgi, 2.
-- Wed 4 Apr Midterm #2  
-- Mon 2 Apr Work on Practice Midterm #2 Nothing to turn in.
10 Wed 28 Mar Review for Midterm #2, Wed 4/4/01. p. 94: 1-4.  (For all these problems, use Church's Thesis to give informal proofs.)
9 Wed 14 Mar Pages 85-86. p. 90: 1(iii), 2. (For both problems, use Church's Thesis to give informal proofs; or for 1(iii), prove (i) and (ii).)
8 Mon 12 Mar Pages 72-73, 79-80, + handout: Counting Programs See bottom of page 2 of handout: Counting Programs
7 Mon 5 Mar Section 3.7 p. 71: 1-4.
-- Mon 26 Feb Midterm #1: Covers Chapters 1 and 2. Practice Midterm #1 (Postponed from Wed 21 Feb)
6 Wed 21 Feb Pages: 48-9, 52-57 p. 57: 1, 2.
5 Wed 14 Feb -- Postponed to Wed 21 Feb Section  2.5: Minimalization. p. 45: 1, 3.
4 Mon 12 Feb -- Postponed to Wed 14 Feb Section  2.4 again: Recursion; bounded minimalization. p. 41: 1(d,e), 2, 3, 4(b,c).
3 Wed 7 Feb Sections 1.4: Decidability, 2.4: Recursion p. 23: 4.3; p.32: 3. p. 41: 1(a,b,c).
2 Mon 5 Feb Sections 2.1-2.3: Joining programs; substitution. 3.4; p. 32: 1, 2.
1 Fri 2 Feb Sections 1.1-1.3 URM-computable functions. 2.2, 2.3; p. 21: 3.3: [1abc], 1def, 2-4.

Square Brackets [ ] mean "do but don't turn in". These are usually easier problems that make for good warm-up or practice exercises. You are expected to know how to do them but don't need to write them up and turn them in.

CH: Challenge Problems are optional. If you do them, do not turn them in with your regular homework; instead come show them during office hours. These are problems that are interesting and sometimes more challenging; but you are not responsible for them.


Updated: 31 August, 2009 17:44:19