Week 1: Mostly section 1.62

• June 18: Triangle Inequality, Sequences, Definition of Limit
• June 20: Examples of Limits Continued, Limit Laws
• June 22: Monotone and Bounded Sequences

Week 2: Chapter 2

• June 25: Definition of e, Axioms of an ordered field
• June 27: Irrational Numbers, Axiom of Continuity, and Construction of the Real Numbers
• June 29: Sup, Inf, Properties of the Real Number Line

Week 3: Sections 16.1 and 16.2

• July 2: Quiz 2, Nested Interval Theorem, Countable vs Uncountable Sets
• July 4: No Class
• July 6: Examples of uncountable sets, Open sets

Week 4: Sections 16.3 and 16.31

• July 9: Quiz 3, Closed sets, Accumulation Points
• July 11: Bolzano-Weierstrass and Consequences
• July 13: Review Day

Week 5: Finish Chapter 16

• July 16: Midterm Exam
• July 18: Brief review of midterm, Cauchy Sequences
• July 20: Introduction to Infinite Series

Week 6: Sections 19.2 and 19.3 (with all subsections)

• July 23: Quiz 4, Harmonic Series, Comparison Test
• July 25: More Comparison Tests, Integral Test, p-Series
• July 27: Ratio Test, Absolute and Conditional Convergence

Week7: Sections 19.4, 19.6, 19.7

• July 30: Quiz 5, Alternating Series Test, Tests for absolute convergence
• August 1: Finish Absolute Convergence, Products of series
• August 3: Abel's Test, Dirichlet's Test

Week 8: Sections 21.1, 20.1, 20.2

• August 6: Quiz 6, Power Series, Introduction to sequences of functions
• August 8: Pointwise vs Uniform Convergence and examples
• August 10: Comparison Test, Weierstrass M-test

Week 9: Final Week

• August 13: Teaching Evaluations, Problem Day
• August 15: Review Day
• August 17: Final Exam