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MAT 25

Summer Session II 2015




Instructor Patrick Weed
Lecture MTWF 10:00AM - 11:40AM in CHEM 176
Email 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 Bolzano-Weierstrass 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 Heine-Borel 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