This is a curious mathematics course in that it has a theoretical flavor, meaning that abstract thinking is central to the course, and yet it is an application-oriented mathematics course, meaning that we will develop mathematical tools as needed to solve specific problems. The moral of this story is that it is often the abstract nature of mathematics that allows it to correctly model and solve real-world problems. One catch with this particular book is that often the first applications we will see are mathematical puzzles and games. After studying the mathematical ideas behind these "recreationalâ€ť problems, we will then apply them to more practical applications, many of which come from the field of computer science. The course covers typical topics from discrete mathematics including logic and proof, sets and functions, combinatorics and probability, and graph theory.

**Section 1.2**. Problems 1, 2, 4 - 8, 12, 13, 21, 22, 24. Online problems are similar to 1, 2, 4, 5, 6, 12, 21, 24**Section 1.3**. Problems 1, 3 - 9, 11 - 15, 17, 18, 21. Online problems are similar to 6 - 9, 11, 13**Section 1.4**. Problems 1, 3 - 6, 8 - 11, 14 - 16. Online problems are similar to 3, 4, 6**Section 1.5**. Problems 1, 3 - 5, 7, 10 - 14, 16, 17, 19, 21, 23, 25 - 28, 30. Online problems are similar to 4, 5, 6, 10, 11, 23, 25-27**Section 2.1**. Problems 1-3, 4(a-d), 5, 6, 8, 9, 12, 13, 14(a,c). Online problems are similar to 4, 6, 8, 12, 13**Section 2.2**. Problems 1-6, 7(a-c), 13, 14, 29. Online problems are similar to 1-6**Section 2.3**. Problems 1, 2, 3(a-e), 4(a-c), 5, 6, 8(a-d), 10. Online problems are similar to 3 and 8.**Section 2.5**. Problems 1, 2, 3, 4, 5, 7, 22, 23, 24, 32. Online problems are similar to 1, 4, 7, 22, 23, 32**Section 2.6**. Problems 1, 2, 3, 4, 5, 9, 11, 13, 14, 15, 16, 21. Online problems are similar to 1-5, 14, -16**Section 3.1**. Problems 1-3, 5-7, 9-11, 15(a-d), 16(a-d), 17(b-e), 18, 26, 28, 29. Online problems are similar to**Section 3.2**. Problems 1-6, 12-17. Online problems are similar to**Section 3.3**. Problems 4, 5, 12, 14, 15, 16, 18, 19. Online problems are similar to**Section 5.1**. Problem 1-10, 12-14, 18, 20. Online problems are similar to**Section 5.2**. Problems 1-3, 6, 7, 9, 11, 12, 14, 15, 20, 21, 24-27, 29, 30, 36-39. Online problems are similar to**Section 5.3**. Problems 1, 3, 6, 9-15, 18, 20, 21, 23, 25, 29, 31-33. Online problems are similar to**Section 5.4**. Problems 1-5, 10, 12, 15-22. Online problems are similar to**Section 5.6**. Problems 1-4, 6-10. Online problems are similar to**Section 6.1**. Problems 1-9, 13-16, 18, 19.**Section 6.2**.* Problems 1-8, 13, 15-17, 24-26.**Section 6.3**.* Problems 1-10, 15, 18.**Section 4.1**. Problems 1-5, 8-11, 14, 15, 17, 18, 21, 22, 25-28.**Section 4.2**. Problems 3-7, 10, 14-17, 19**Section 4.3**. Problems 1-6, 11, 14, 15, 17

**Section 4.6**. Problems 1, 2, 4-8, 12-15, 18-21**Section 7.1**. Problems 1-4, 6-11, 13-16**Section 7.3**. Problems 1-5**Section 7.4**. Problems 1-7, 15

Douglas Ensley, Ph.D.

Professor of Mathematics

Shippensburg University

Shippensburg, PA 17257

Phone: 717.477.1406

deensley@ship.edu