COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
OFFICE HOURS
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MATH 260, FALL 2016
Introduction to Higher Mathematics
Homework
The majority of the topics for this course will be taken from Keef and Guichard's An Introduction to Higher Mathematics
. We will be working at the pace of approximately one section per day
Assignments
8/31 W |
1.1: Statements and Truth Tables |
1, 2 (a,c), 4, 5
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9/2 F |
1.2: Quantifiers |
1, 2, 3, 4, 5
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9/5 M |
1.3:De Morgan’s Laws |
2,3,4,5,7
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9/7 W |
1.4: Mixed Quantifiers and Definitions |
1, 2(ab), 4, 5
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9/9 F |
1.5: Sets, Unions, and Intersections |
1, 2,5,8,9
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9/12 M |
1.6: Families of Sets, Power Sets |
2,3,4, 7,8,9
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9/14 W |
1.7 Equivalence Relations |
1,2,3,6,7,8 (Due Monday)
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9/16 F |
1.7, 2,1 Intro to Proofs |
HW TBA
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9/19 M |
1.7, 2,1 Intro to Proofs |
HW 2.2: 2,4,5,7,8,9 (Due 9/28) |
9/21 W |
1.7, 2,1 Intro to Proofs |
Review for Exam 1 |
9/23 F |
EXAM 1 |
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9/26 M |
2.2 Existence Proofs, The Divisor Game |
HW 2.3: 2,3,6,8,9,12 (Due 9/30) |
9/28 W |
2.3 Induction Proofs |
HW 2.4: 2,3,5,6,7,12,13,14 |
9/30 F |
More on Induction |
(It is that important!)
|
10/3 M |
2.5 Pascal’s Triangle and the Binomial Theorem |
HW 2.5: 3, 5, 8, 10, 12 (Due 9/30) |
10/5 W |
2.5: The Arithmetic-Geometric Mean Inequality |
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10/10 M |
2.6 Strong Mathematical Induction and the Fundamental Theorem of Arithmetic |
HW 2.6: 1,2,3,4,6
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10/12 W |
2.6: Number Sequences and Induction: The Fibonacci Numbers |
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10/13, R |
2.7 Well Ordering Principle |
HW 2.6 5dghi, 2.7: 1, |
10/14 F |
More on Induction |
(It is that important!)
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10/17 M |
2.8 Indirect Proofs, Proofs by Contradiction |
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10/19 F |
Wrap up of Ch 2, Exam 2 Review |
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10/20 R |
Exam 2 |
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10/24 M |
3.1 Congruences and Modular Arithmetic |
HW: 1,3,4,5,6,7,8,9,12
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10/26 W |
3.2: The Space Z(n) |
HW: 4, 5, 6, 7, 8, 9, 10
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10/28 F |
3.3: The Euclidean Algorithm |
HW: 1 (enough to become familiar with the Euclidean Algorithm), 2, 6, 7, 9, 10, 12 (Due Monday, 10/31)
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10/31 M |
3.4: The Spaces U(n) |
HW: 4,5,6,9,12,15 (Due Wednesday, 11/2)
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11/2 W |
3.5: The GCD and the LCM |
HW: 2,5,6,8,9,10 (Due Friday, 11/4)
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11/3 R |
The Fundamental Theorem of Arithmetic |
HW: 1,2,3,7,10,12,13,14,15
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