MAT 25
Summer Session II 2015
Instructor  Patrick Weed 
Lecture  MTWF 10:00AM  11:40AM in CHEM 176 
psweed@math.ucdavis.edu  
Office Hours  MTW 12:00PM  1:00PM or by appointment in MSB 2117 
Course Information
Day  Agenda  Handouts and Comments 
August 3 
1.1  Irrationality of the square root of 2 1.2  Sets 
Syllabus Homework 1 Assignment 
August 4  1.2  Functions, logic and proofs, induction  Homework 2 Assignment 
August 5  Discussion 1 
Discussion 1 worksheet Discussion 1 worksheet solutions 
August 6 
Homework 1 due Quiz 1 8.4  Field and order axioms 1.3  Completeness, infimum, and supremum 
Homework 1 Solutions Quiz 1 Quiz 1 Solutions Homework 3 Assignment 
August 10 
1.4  NIP and Density 2.1  Rearrangements 

August 11 
Homework 2 due 2.2  The Limit of a Sequence 
Homework 2 solutions Homework 4 Assignment 
August 12  Discussion 2 
Discussion 2 worksheet Discussion 2 worksheet solutions 
August 13 
Homework 3 due Quiz 2 2.3  Algebraic Limit Theorems 
Homework 3 solutions Quiz 2 Quiz 2 solutions Homework 5 assignment 
August 17 
2.3  Order Limit Theorems 2.4  Monotone Convergence Test, limit supremum, limit infimum 

August 18 
Homework 4 due 2.4  limit supremum and limit infimum 2.5  Subsequences 
Homework 4 solutions Homework 6 assignment 
August 19  Discussion 3 
Discussion 3 worksheet Discussion 3 worksheet solutions 
August 20 
Homework 5 due Quiz 3 2.5  The BolzanoWeierstrass Theorem 2.6  Cauchy Sequences 
Homework 5 solutions Quiz 3 Quiz 3 solutions Homework 7 assignment 
August 24 
2.4  Series 2.7  Convergence and Divergence of Series 

August 25 
Homework 6 due Convergence and Divergence of Series 
Homework 6 solutions Homework 8 assignment 
August 26  Discussion 4 
Discussion 4 worksheet Discussion 4 worksheet solutions 
August 27 
Homework 7 due Midterm 
Homework 7 solutions Midterm Exam Midterm solutions Homework 9 assignment 
August 31  Metric Spaces  
September 1 
Homework 8 due Open and closed sets Complements 
Homework 8 solutions Homework 10 Assignment 
September 2  Discussion 5 
Discussion 5 worksheet Discussion 5 worksheet solutions 
September 3 
Homework 9 due Quiz 4 Closures Compact Sets 
Homework 9 solutions Quiz 4 Quiz 4 solutions Homework 11 
September 7  Labor day  no class  
September 8 
The HeineBorel Theorem The Cantor Set 

September 9 
Homework 10 due Discussion 6 
Homework 10 solutions Discussion 6 worksheet Discussion 6 worksheet solutions 
September 10 
Homework 11 due Final 
Homework 11 Solutions Final exam Final exam solutions 
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Last modified on September 09, 2015