|
Reading Assignments and Suggested Exercises
Book: | Discrete Mathematics and Its Applications, 7th edition | Author: | Kenneth Rosen |
Section | Topic | Reading | Exercises | 1.1 | Propositional Logic | All | 1,3,5,9,11,13,15,17,21,25,27,29,33,37 |
1.2 | Applications of Propositional Logic | All | 1,3,5,7,9,17,39,41,43 |
1.3 | Propositional Equivalences | All (skim 32-33) | 1,5,7,9,11,13,15,17,21,29,41,59,61 |
1.4 | Predicates and Quantifiers | 36-43 | 1,3,5,11,13,35,43,51 |
1.6 | Rules of Inference | All | 3,7,15 |
1.7 | Introduction to Proofs | All | 1,3,5,9,15,17,23,31 |
2.1 | Sets | All | 1,3,5,7,9,11,13,15,17,19,21,23,27,29,35,37 |
2.2 | Set Operations | All | 1,3,9,13,15,17,19,25,27,29,47,53,55, 57 |
2.4 | Sequences and Summations | All | 1,3,5,7,9,13,15,17,19,21,25,31,33,35,39 |
2.6 | Matrices | All | 1,3,11,15,27,29 |
4.1 | Divisibility and Modular Arithemtic | 237-242 | 1,9,21,29,31,33 |
4.2 | Integer Representation and Algrothms | 245-249, 253-254 (Modular Exponentiation) | 1,3,25,27 |
4.3 | Primes and Greatest Common Divisors | 257-261 (top 3 lines), 265-269 (stop at gcd as Linear Combination) | 1,3,25,29,33 |
4.5 | Applications of Congruences | All | 1,3,5,17,19,25 |
4.6 | Cryptography | All | 1,3,5,9,24 |
5.1 | Mathematical Induction | All | 3,5,11,13,19,31,49,50,51 |
5.3 | Recursive Definitions and Structural Induction | 344-347 (skip Lame's Theorem/Proof), 349-353 | 1,3,5,7,9,13,15,23,25 |
6.1 | The Basics of Counting | All | 1,3,7,11,13,17,25,29,31,41,47,49,55,57,61 |
6.2 | The Pigeonhole Principle | All | 1,3,9,15,17,19,27,31,35,37 |
6.3 | Permutations and Combinations | All | 1,3,5,6,11,13,19,21,23,25,31,37 |
6.4 | Binomial Coefficients and Identities | All | 1,5,7,9,15,19,29 |
6.6 | Generating Permutations and Combinations | All | 1, 5, 7, 9 |
|
|
|
|