| Week | Day | Topic | Reading | Assignments |
|---|---|---|---|---|
| Reminder | MAT 319 and MAT 320 follow the joint schedule through February 29 | |||
| Week 1 Jan 22-26 |
Tuesday | Mathematical induction | Sections 1-5 | Homework 1 (Due Week 2) |
| Thursday | The completeness axiom | |||
| Week 2 Jan 29-Feb 2 |
Tuesday | Limits of sequences | Sections 7-8 | Homework 2 (Due Week 3) |
| Thursday | Limit theorems for sequences | Section 9 | ||
| Week 3 Feb 5-9 |
Tuesday | Cauchy sequences | Section 10 | Homework 3 (Due Week 4) |
| Thursday | Subsequences | Section 11 | ||
| Week 4 Feb 12-16 |
Tuesday | Snow day | Homework 4 (Due Week 5) | |
| Thursday | limsup and liminf | Section 12 | ||
| Week 5 Feb 19-23 |
Tuesday | Series | Section 14 | Homework 5 (Due Week 6) |
| Thursday | Convergence tests for series | Section 15 | ||
| Week 6 Feb 26-Mar 1 |
Tuesday | Review for Midterm I | Sections 1-5, 7-12, 14-15 | |
| Thursday | Midterm I Thursday, February 29, 11:30am-12:50pm, during class |
Cumulative | ||
| Everything from here is for MAT 319 only. The website for MAT 320 is in this link. | ||||
| Week 7 Mar 4-8 |
Tuesday | Continuous functions | Section 17 | Homework 6 (Due Week 8) |
| Thursday | Properties of continuous functions | Section 18 | ||
| Mar 11-15 | Spring break | No classes in session | ||
| Week 8 Mar 18-22 |
Tuesday | Inverse functions | Section 18 | Homework 7 (Due Week 9) |
| Thursday | Uniform continuity | Section 19 | ||
| Week 9 Mar 25-29 |
Tuesday | Uniform continuity | Section 19 | Homework 8 (Due Week 10) |
| Thursday | Limits of functions | Section 20 | ||
| Week 10 Apr 1-5 |
Tuesday | Derivatives | Section 28 | |
| Thursday | Midterm II Thursday, April 4, 11:30am-12:50pm, during class |
Cumulative (with focus on material after Midterm I) |
||
| Week 11 Apr 8-12 |
Tuesday | Derivatives | Section 28 | Homework 9 (Due Week 12) |
| Thursday | Mean value theorem | Section 29 | ||
| Week 12 Apr 15-19 |
Tuesday | L'Hospital's rules | Section 30 | Homework 10 (Due Week 13) |
| Thursday | Taylor's theorem | Section 31 | ||
| Week 13 Apr 22-26 |
Tuesday | The Riemann integral | Section 32 | Homework 11 (Due Week 14) |
| Thursday | Properties of the Riemann integral | Section 33 | ||
| Week 14 Apr 29-May 3 |
Tuesday | Properties of the Riemann integral | Section 33 | |
| Thursday | The fundamental theorem of calculus | Section 34 | ||
| May 14 | Tuesday | Final Exam
Tuesday, May 14, 11:15am-1:45pm Classroom: Library W4550 |
Cumulative (with focus on material after Midterm II) | |
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