COURSE INFO

SCHEDULE

SYLLABUS

HOMEWORK

OFFICE HOURS


MATH 260, SPRING 2012

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

1/17 T 1.1: Statements and Truth Tables
1/19 R 1.2: Quantifiers
1/20 F 1.3: de Morgan's Laws
1/24 T 1.4: Mixed Quantifiers
1/26 R 1.5-6: Logic, Sets, Families of Sets
1/27 F 1.7: Equivalence Relations
1/31 T 2.1: Introduction to Proof
2/2 R 2.2 Divisibility and Existence Proofs
2/3 F 2.3-4 More on Existence Proofs, Inroduction to Induction
2/7 T 2.5: More on Mathematical Induction, the Binomial Theorem
2/9 R Review for Exam 1
2/10 F EXAM 1
2/14 T 2.6: Strong Induction
2/16 R 2.7: Well-Ordering Property
2/17 F 2.8: Indirect Proof
2/21 T 3.1-2: Congruence and Modular Addition
2/23 R 3.3: The Euclidean Algorithm
2/24 F 3.4: Modular Multiplication
2/28 T 3.5: GCD's and LCM's
3/1 R 3.6: The Fundamental Theorem of Arithmetic
3/2 F 3.7: Wilson's and Euler's Theorems
3/6 T 4.1-2: Introduction to Functions, Functions on Sets
3/8 R Review for Exam 2
3/9 F EXAM 2
3/27 T 4.3-4: One-to-one and Onto Functions
3/29 R 4.5: PseudoInverses
3/30 F 4.6: Injections and Surjections
4/3 T 4.7: Cardinality and Countability
4/5 R 4.8: To Infinity...And Beyond!
4/6 F The Continuum Hypothesis
4/10 T Undergraduate Conference
4/12 R Review for Exam 3
4/13 F EXAM 3
4/17-4/20 Graph Theory
4/24-4/27 Abstract Algebra
5/1-5/4 Real Analysis and Topology
5/8 Course Recap-Final Exam Review


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