Paul-Robert Chouha: paul.chouha@mcgill.ca
CMSC 000 – Foundations of Mathematic∫.
Chapter 1: Review: The Real Number System
Homework/List of Problems 0
Instructions:
Students are encouraged to attempt all suggested problems on the list. The suggested
due date is to help you organize and plan your studies and it serves to remind the student
that by that date, the student should have acquired the knowledge of the material covered in
that assignment. You do not have to hand in your work.
A detailed solution of the assignment can be found in the solution manual for the 2nd custom
edition problems, while some of the solutions will be posted on MyCourses for the older version
of the textbook.
Problem I: Older Text Book (Section 1.1)1 (10 probs.)
Do all the following problems from the textbook:
On page
9: Problems {2, 4, 14 and 16}.
On page 10: Problems {50, 56, 57, 59, 78 and 79}.
Problem I: 2nd Edition Text Book (Section 1.1)2 (10 probs.)
Do all the following problems from the textbook:
On page 2: Problems {1 and 3}.
On page 4: Problems {25 and 27}.
On page 6: Problems {47, 51 and 52}.
On page 8: Problem {61}.
On page 9: Problems {83 and 85}.
Problem II: Older Text Book (Section 1.2) (20 probs.)
Do all the following problems from the textbook:
On page 16: Problems {4, 8, 28, 34, 52, 66 and 68}.
On page 17: Problems {78, 82, 84, 86, 88, 90, 92, and 98}.
On page 18: Problems {106, 108, 110, 112 and 114}.
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Foundations of Mathematics; Custom Edition. Publisher: Nelson Education Ltd. Canada; ISBN: 017666373-8
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Foundations of Mathematics; 2nd Custom Edition. Publisher: Nelson Education Ltd. Canada; ISBN: 017674357-X
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CMSC 000: Foundations of Mathematic∫. HW0.
Paul-Robert Chouha: paul.chouha@mcgill.ca
Problem II: 2nd Edition Text Book (Section 1.2) (10 probs.)
Do all the following problems from the textbook:
On page 10: Problems {4, and 8}.
On page 12: Problems {37 and 43}.
On page 14: Problems {71, 73, 82, 87 and 88}.
On page 17: Problems {107}.
Problem III: Older Text Book (Section 1.3) (20 probs.)
Do all the following problems from the textbook:
On page 28: Problems {4, 22, 24, 28, 52, 56, 58 and 60}.
On page 29: Problems {76, 82, 88, 92, 94, 96, 104, 105, 106 and 108}.
On page 30: Problems {109 and 114}.
Problem III: 2nd Edition Text Book (Section 1.3) (18 probs.)
Do all the following problems from the textbook:
On page 18: Problems {11, 17, 18 and 19}.
On page 20: Problems {45, 47, 49 and 51}.
On page 22: Problems {75, 78, 86, 95 and 97}.
On page 26: Problems {121 and 135}.
On page 27: Problems {139, 141, 133}.
Problem IV: Older Text Book (Section 1.4) (25 probs.)
Do all the following problems from the textbook:
On page 42: Problems {8, 16, 18, 22, 24, 34, 46, 48 and 52}.
On page 43: Problems {58, 64, 70, 72, 74, 76, 84, 86, 100, 114, 120 and 124}.
On page 44: Problems {154, 156 and 160}.
On page 45: Problem {173}.
Problem IV: 2nd Edition Text Book (Section 1.4) (15 probs.)
Do all the following problems from the textbook:
On page 30: Problems {7, 11 and 15}.
On page 31: Problem {21}.
On page 32: Problems {29, 31 and 39}.
On page 33: Problem {51}.
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CMSC 000: Foundations of Mathematic∫. HW0.
Paul-Robert Chouha: paul.chouha@mcgill.ca
On page 34: Problems {55, 67 and 71}.
On page 38: Problems {113 and 131}.
On page 39: Problems {140 and 153}.
Problem V: Older Text Book (Section 1.5) (25 probs.)
Do all the following problems from the textbook:
On page 53: Problems {2, 6, 8, 12, 22, 38, 40 and 50}.
On page 54: Problems {60, 62, 66, 70, 72, 74, 98, 100, 102, 106 and 108}.
On page 55: Problem {126}.
On page 56: Problems {130, 132 and 135}.
On page 57: Problems {149 and 150}.
Problem V: 2nd Edition Text Book (Section 1.5) (16 probs.)
Do all the following problems from the textbook:
On page 40: Problems {1 and 9}.
On page 42: Problems {31, 33 and 51}.
On page 46: Problems {85, 91 and 93}.
On page 47: Problems {107 and 111}.
On page 52: Problems {169}.
On page 53: Problems {199, 201, 209, 211 and 213}
~ End of Assignment 0 ~
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CMSC 000: Foundations of Mathematic∫. HW0.
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