Tentative calendar for MAT378.
Thursday, September 09 | Sections 2, 5 | Introduction, Quantifiers, Basic Set Operations |
Tuesday, September 14 | Sections 5-7 | Basic Set Operations, Relations, Functions |
Thursday, September 16 | Section 8 | Cardinality |
Tuesday, September 21 | Section 10 | Natural Numbers and Induction |
Thursday, September 23 | Section 11 | Ordered Fields |
Tuesday, September 28 | Sections 12-13 | The Completness Axiom, Topology of the Reals |
Thursday, September 30 | Section 14 | Compact Sets |
Tuesday, October 05 | Sections 16-17 | Convergence, Limit Theorems |
Thursday, October 07 | Section 18 | Monotone Sequences and Cauchy Sequences |
Tuesday, October 12 | Sections 19-20 | Subsequences, Limits of Functions |
Thursday, October 14 | Review for the Midterm Test | |
Tuesday, October 19 | Midterm Test | |
Thursday, October 21 | Discussion of the Midterm | |
Tuesday, October 26 | Sections 21-23 | Properties of Continuous Functions, Uniform Continuity |
Thursday, October 28 | Section 25 | The Derivative |
Tuesday, November 02 | Sections 25-26 | The Derivative, The Mean Value Theorem |
Thursday, November 04 | Section 27 | The Mean Value Theorem |
Tuesday, November 09 | Sections 28-29 | L'Hospital's Rule, Taylor's Theorem, The Riemann Integral |
Thursday, November 11 | Section 30 | Properties of the Riemann Integral |
Tuesday, November 16 | Sections 31-32 | The Fundamental Theorem of Calculus, Convergence of Infinite Series |
Thursday, November 18 | Section 33 | Convergence Tests |
Tuesday, November 23 | Sections 33-35 | Convergence Tests, Power Series, Pointwise and Uniform Convergence |
Thursday, November 25 | Section 36 | Applications of Uniform Convergence |
Tuesday, November 30 | Section 36 -37 | Applications of Uniform Convergence, Uniform Convergence of Power Series |
Thursday, December 02 | Section 37 | Uniform Convergence of Power Series |
Tuesday, December 07 | Review for the Final Exam |