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Exams

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LectureNotes

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README.html

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README.md

README.md

 
 

Syllabus.pdf

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README.md

MA 112: Discrete Mathematics I (logic, basics, and foundations)

Resources

Homeworks

(For all the homewroks, you are required to submit to your TA only the even-number problems. Of course, you are encouraged to solve more problems if you want to be smarter in Mathematics)

  • Sec. 1.1, solve problems: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 16, 21, 27, 28, 50, 51.
  • Sec. 1.2, solve problems: 7, 8, 9, 11, 16, 17, 22, 23, 24, 25, 40, 41, 42, 43, 44, 55, 56, 57, 58.
  • Sec. 1.3, solve problems: 1, 2,5, 6, 7, 8, 9, 10, 15, 16, 17, 18, 21, 22, 23, 24, 30, 31, 35, 36, 41, 42, 43, 44, 49, 50, 51.
  • Sec. 1.4, solve problems: 1, 2, 13, 15, 16, 17, 18, 19, 20, 24, 25, 27, 28, 34, 35, 39, 40, 48, 49, 50, 52.
  • Sec. 1.5, solve problems: 3, 4, 13, 14, 19, 20, 23, 24, 26, 27.
  • Sec. 1.6, solve problems: 1, 2, 11, 12, 15, 16, 17, 18, 21, 22, 24, 25, 34, 35, 36, 37, 38.
  • Sec. 1.7, solve problems: 5, 17, 20, 21, 22, 25, 27, 28, 30. In addition, go to www.YouTube.com and search for "fermat's last theorem" you will find 5 parts (part 1, part 2,...etc), each is about 10 min. Please, watch the five parts.
  • Sec. 2.1, solve problems: 1, 2, 3, 4, 5, 6, 10, 11, 15, 16, 17, 18, 20, 21, 23, 26, 27, 30, 31, 33, 34, 37, 39.
  • Sec. 2.2, solve problems: 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 26, 27, 29, 30, 31, 44, 45, 46, 48, 49.
  • Sec. 2.3, solve problems: 1, 2, 8, 9, 10, 11, 14, 15, 16, 17, 18, 19, 24, 25, , 27, 28, 29, 30, 31, 35, 36, 37, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 61, 62, 69, 71, 75, 76.
  • Sec. 2.4, solve problems: 3, 4, 5, 7, 8, 9, 10, 13, 14, 21, 22, 27, 28, 31, 32, 36, 37, 38.
  • Sec. 3.4, solve problems: 1, 3, 4, 5, 9, 10, 11, 12, 13, 14, 15, 16, 17, 23, 24, 26, 33, 34, 35.
  • Sec. 3.5, solve problems: 3, 4, 5, 6, 7, 9, 11, 12, 15, 25, 26, 32, 31, 34, 37.
  • Sec. 4.1, solve problems: 3, 4, 7, 8, 10-12, 18-30, 34-37, 43, 47-49, 59, 62, 70.
  • Sec. 4.2: Read very well pages 283-287 (except Example 3) and solve problems: 9, 12, 28-31, 37, 41-43.
  • Sec. 4.3, solve problems: 3-6, 9-11, 14-16, 20-21, 26-27, 32, 34-36, 56-59.
  • Sec. 5.1: Read the section very well, then solve problems:3, 7-13, 17-18, 21-22, 27-33, 39, 42-45, 49-51, 59-60, 62.
  • Sec. 5.2, solve problems: 1-9.
  • Sec. 5.3, solve all odd problems and all problems that are multiple of 4.
  • Sec. 7.1: Consider only the first 48 problems and solve all odd problems and any multiple of 4.
  • Sec. 7.5: Consider only the first22 problems and solve all odd problems and any multiple of 4.

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