## 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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