| Week | Topic | Reading | Assignments | |
|---|---|---|---|---|
| General reminders |
Homework assignments are due in the beginning of Wednesday's lecture. | |||
| Week 1 Jan 23-27 |
Introduction to Analysis Integers, rationals, and reals |
1.1, 1.2 | Homework 1 (due Week 2) Solutions |
|
| Week 2 Jan 30-Feb 3 |
Completeness and consequences | 1.3, 1.4 | Homework 2 (due Week 3) Solutions |
|
| Week 3 Feb 6-10 |
Cardinality and Cantor's theorem | 1.5, 1.6 | Homework 3 (due Week 4) Solutions |
|
| Week 4 Feb 13-17 |
Limits of sequences | 2.1, 2.2, 2.3 | Homework 4 (due Week 5) Solutions |
|
| Week 5 Feb 20-24 |
Quiz on Monday, February 20Monotone sequences Subsequences |
2.4, 2.5 | Homework 5 (due Week 6) Solutions |
|
| Week 6 Feb 27-Mar 3 |
The Bolzano-Weierstrass theorem The Cauchy criterion Infinite series |
2.5, 2.6, 2.7 | Homework 6 (due Week 8) Solutions |
|
| Week 7 Mar 6-10 |
Infinite Series Review for midterm |
2.7 | ||
| Mar 8 | Midterm Wednesday, March 8, 4:25pm-5:45pm |
Cumulative | Practice exams from previous semesters: Practice midterm 1 (Solutions) Practice midterm 2 Do not expect that the actual exam will contain exactly these kinds of problems! |
|
| Mar 13-17 | Spring Break No classes in session |
|||
| Week 8 Mar 20-24 |
Open and closed sets Compactness |
3.2, 3.3 | Homework 7 (due Week 9) Solutions |
|
| Week 9 Mar 27-31 |
Quiz on Monday, March 27Limits of functions | 4.1, 4.2 | Homework 8 (due Week 10) Solutions |
|
| Week 10 Apr 3-7 |
Continuity | 4.3, 4.4, 4.5 | Homework 9 (due Week 11) Solutions |
|
| Week 11 Apr 10-14 |
Derivatives The mean value theorem |
5.1, 5.2, 5.3 | Homework 10 (due Week 12) Solutions |
|
| Week 12 Apr 17-21 |
Quiz on Monday, April 17 L'Hospital's rule A nowhere differentiable function |
5.3, 5.4 | Homework 11 (due Week 13) Solutions |
|
| Week 13 Apr 24-28 |
The Riemann integral | 7.1, 7.2, 7.3 | Homework 12 (due Week 14) | |
| Week 14 May 1-5 |
The fundamental theorem of calculus Review for final |
7.4, 7.5 | ||
| May 11 | Final Exam
Tuesday, May 16, 2:15pm-5:00pm |
Cumulative | Practice exams from previous semesters:
Practice final 1 (except Problems 1a and 8) Do not expect that the actual exam will contain exactly these kinds of problems! |
|
Back to the main page of the course