MAT385: Discrete Math

Schedule and Assignments

Day Date Activity Assignment (due one week from assignment date, unless otherwise stated)
Tue1/18 Welcome, Masked Students! Read Section 1.1 (Statements, Symbolic Representations, and Tautologies), while working on highlight worksheet 1.1 as you go along. Homework: p. 16--, #2, 9, 11(d,e), 15(c,d,e), 17(b,c), 19, 23, 41(a,c), 47, 48, 49, 57 (due 1/26, midnight -- submit as a single pdf on Canvas.)
Thu1/20 Section 1.1 Read Section 1.2 (Propositional Logic), while working on highlight worksheet 1.2 as you go along. Homework problems, p. 35--, #6, 11, 12, 15, 18, 20, 27, 35, 37, 44, 45, 49, 55, 56 (use statement letters I, K, J, O, H). (Due Monday, 1/31, at midnight.)
Tue1/25 Section 1.2 Read Section 1.3 (Quantifiers, Predicates, and Validity), while working on highlight worksheet 1.3 as you go along. Homework problems, p. 50--, #1, 5, 8, 9(a,b), 13(b,f,j), 17, 21(a,f), 22(a-d), 25(a-d), 27(a,b), 24(a-c), 34(a,c), 36(a,c) (due Wednesday, 2/2, at midnight.)
Thu1/27 Section 1.3 Read Section 1.4 (Predicate Logic), while working on highlight worksheet 1.4 as you go along. Homework problems, p. 69--, #7, 9, 10, 13, 15, 18, 22, 23, 26, 28, 31, 34, 42 (due Wednesday, 2/9, at midnight)
Tue2/1 Section 1.4 Read Section 2.1 (Proof Techniques), while working on highlight worksheet 2.1 as you go along. Homework problems, p. 107--, #4, 10, 15, 19, 20, 32, 44, 61, 66, 71, 74 (due Monday, 2/14, at midnight)
Thu2/3 Snow Day -- school closed  
Tue2/8 Section 2.1 Read Section 2.2 (Induction), while working on highlight worksheet 2.2 as you go along. Homework problems, pp. 123--, 4, 7, 16, 22, 27, 28, 31, 32, 41, 50, 61, 55, 56 (due Wednesday, 2/23, at midnight)
Thu2/10 Section 2.2 Prepare for exam....
Tue2/15 Review  
Thu2/17 Exam 1 Read Section 3.1 (Recursive Definitions), while working on highlight worksheet 3.1 as you go along. Homework problems, pp. 171--, #1, 3, 6, 16, 18, 21, 24, 26, 42, 50, 58 (due Monday, 2/28)
Tue2/22 Section 3.1 Read Section 3.2 (Recurrence Relations), while working on highlight worksheet 3.2 as you go along. Homework problems, pp. 197--, #1, 6, 12, 15, 21, 23, 24, 41, 48 (due Monday, 3/14)
Thu2/24 Section 3.2 Please read Section 3.3 (Analysis of Algorithms), while working on highlight worksheet 3.3 as you go along. Homework problems, pp. 214--, #9, 10, 13, 14, 38, 40 (due Wednesday, 3/16)

If you need to revise your project (or if, for any reason, you have not received approval for your project), please resubmit on Canvas.

Tue3/1 Section 3.3  
Thu3/3 Section 3.3, encore: the Euclidean Algorithm Please read Section 4.1 (Sets), while working on the highlight worksheet. Homework problems, pp. 239--, #2, 4, 6, 8, 13, 18, 26, 29, 32, 33, 35 (due Monday, 3/21)
Tue3/8 Spring Break  
Thu3/10 Spring Break  
Tue3/15 Section 4.1 Project proposals are due. For next time, please read Section 6.1 (Graphs and Their Representations), while working on the highlight worksheet. Homework problems, pp. 498--, #3, 5, 8, 15, 16, 20, 24, 28, 41, 44, 55, 59, 64 (due Monday, 3/28 -- revised)
Thu3/17 Section 6.1 For next time, please read Section 6.2 (Trees and Their Representations), while working on the highlight worksheet. Homework problems, pp. 521, #2, 5, 8, 11, 12; 16, 17 (note the upshot of part b!), 18; 20, 23, 24; 29, 30; 34, 36; 55, 56 (due Wednesday, 3/30 -- revised)
Tue3/22 Section 6.1, cont.  
Thu3/24 Section 6.2 Please read Section 6.3 (Decision Trees), while working on the highlight worksheet. Homework problems, pp. 536--, #2, 4, 6, 8, 10, 12 (don't worry about capitalization), 16, 17, (due Monday, 4/4).
Tue3/29 Section 6.3 Please read Section 7.2 (Euler Paths and Hamiltonian Circuits), while working on the highlight worksheet. Homework problems, pp. 577--, #1-5, 9, 11, 16, 23, 24, 31, 33, 34 (due Monday, 4/11)
Thu3/31 Section 7.2  
Tue4/5 Review  
Thu4/7 Exam 2 Please read Section 7.3 (Shortest Paths and Minimal Spanning Trees), while working on the highlight worksheet. Homework problems, pp. 591--, #1, 5, 10, 11, 14, 16, 17, 18, 21, 22, 27, 28 (due Wednesday, 4/20)
Tue4/12 Section 7.3 Please read Section 7.4 (Traversal Algorithms), while working on the highlight worksheet. Homework problems, pp. 604--, #2, 5, 9, 10, 12, 15, 19, 20, 29, 30, 36 (due Friday, 4/22)
Thu4/14 Section 7.4 Please read Section 8.1 (Boolean Algebra Structure), while working on the highlight worksheet. Homework problems, pp. 631--, #1, 3, 9(a,b,c), 10(a,c,d), 12, 15 (due Monday, 4/25)
Tue4/19 Section 8.1 Please read Section 8.2 (Logic Networks), while working on the highlight worksheet. Homework problems, pp. 655-, #1, 3, 4, 6, 8, 11, 14, 18, 22, 23, 29, 30, 33 (due Wednesday, 4/27)
Thu4/21 Section 8.2 Please read Section 8.3 (Minimization), while working on the highlight worksheet. Homework problems, pp. 678--, #2, 3, 6, 8, 9, 14, 17, 21, 22, 26, 28 (due Monday, 5/2)
Tue4/26 Section 8.3 Please read 9.3 (Finite State Machines), while working on the highlight worksheet. Homework problems: pp. 750--, #1, 2, 3, 6, 8, 11, 12, 14, 20 (due Wednesday, 5/4)
Thu4/28 Section 9.3  
Tue5/3 Section 9.3 Homework: more 9.3 problems: pp. 750--, #22, 24, 25a, 26a, 26c, 27a, 28a, 34, 38, 46, 66 (draw the two state graphs -- new and improved), 68 (draw both graphs). This homework is optional, and due at the time of the final (it will replace a weaker one, if you choose to do it -- but it's good prep for the final).
Thu5/5 Review  
Tue5/10 Rest  
Thu5/12 Final Exam (4:40-6:40)  

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