COURSE INFO

SCHEDULE

SYLLABUS

HOMEWORK

OFFICE HOURS


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
9/2 F 1.2: Quantifiers 1, 2, 3, 4, 5
9/5 M 1.3:De Morgan’s Laws 2,3,4,5,7
9/7 W 1.4: Mixed Quantifiers and Definitions 1, 2(ab), 4, 5
9/9 F 1.5: Sets, Unions, and Intersections 1, 2,5,8,9
9/12 M 1.6: Families of Sets, Power Sets 2,3,4, 7,8,9
9/14 W 1.7 Equivalence Relations 1,2,3,6,7,8 (Due Monday)
9/16 F 1.7, 2,1 Intro to Proofs HW TBA
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
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
10/10 M 2.6 Strong Mathematical Induction and the Fundamental Theorem of Arithmetic HW 2.6: 1,2,3,4,6
10/12 W 2.6: Number Sequences and Induction: The Fibonacci Numbers
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!)
10/17 M 2.8 Indirect Proofs, Proofs by Contradiction
10/19 F Wrap up of Ch 2, Exam 2 Review
10/20 R Exam 2
10/24 M 3.1 Congruences and Modular Arithmetic HW: 1,3,4,5,6,7,8,9,12
10/26 W 3.2: The Space Z(n) HW: 4, 5, 6, 7, 8, 9, 10
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)
10/31 M 3.4: The Spaces U(n) HW: 4,5,6,9,12,15 (Due Wednesday, 11/2)
11/2 W 3.5: The GCD and the LCM HW: 2,5,6,8,9,10 (Due Friday, 11/4)
11/3 R The Fundamental Theorem of Arithmetic HW: 1,2,3,7,10,12,13,14,15


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