Week | Topics | Reading | Homework |
9/1 | Administrivia. Logic Review: Sets. Induction. |
1.1, 1.2 |
Section 1.1: 4, 5, 8, 18, 19, 22. Section 1.2: 2, 16, 20. (due Wed. 9/10) Here are the solutions. |
9/8 | Finite and infinite sets. Algebraic and order properties of R. Absolute value, the real line. | 1.2, 2.1, 2.2. |
Section 1.3: 4, 11
Section 2.1: 3, 4, 8, 9, 18, 23. Section 2.2: 2, 5, 14. (due Fri. 9/19) Here are the solutions. |
9/15 | The completeness property. Applications of the supremum property. | 2.3, 2.4 | 2.3: 2, 4, 6, 8, 11, 12
2.4: 1, 3, 6, 7 (due Fri. 9/26) Here are the solutions. |
9/22 | Supremums continued. Intervals. | 2.4, 2.5 | 2.4: 18.
2.5: 2, 6, 7, 8, 12, 14, 17. (due Fri. 10/3) Here are the solutions. |
9/29 | Sequences and limits.
Limit Theorems.
no class on 10/1 (Rosh Hashanah) |
3.1 | No homework because of upcoming exam and Rosh Hashanah. |
10/6 | Midterm 1, Wednesday 10/8 in class.
Information about the first exam. Limit Theorems. |
3.1 | 3.1: 3, 5, 11, 16. 3.2: 6, 9, 13, 20. (due Fri. 10/24) Here are the solutions. |
10/13 | Monotone Sequences. Courses divide this week. |
3.2 | |
10/20 | Subsequences and Bozano-Weierstrauss. Cauchy sequences. | 3.4, 3.5 | 3.3: 4, 7, 10, 15. 3.4: 3, 8, 9. 3.5: 2, 5. (due Fri. 10/31) Here are the solutions. |
10/27 | More on Cauchy sequences. Properly divergent sequences. Intro to Infinite series. Limits of functions. | 3.5, 3.6, 4.1. | 3.5: 13. 3.6: 7, 8. 3.7: 4, 5. 4.1: 2, 10. (due Fri. 11/7) Here are the solutions. |
11/3 | More on limits of functions.
Limit theorems.
Extensions of the limit concept.
11/3: last day to withdraw or P/NC |
4.1, 4.2, 4.3 | 4.1: 4, 9, 14. 4.2: 1, 4, 9, 10. 4.3: 2, 3, 8. (due Fri. 11/14) Here are the solutions. |
11/10 | Continuous functions. Combinations of continuous functions. Continuous functions on intervals. | 5.1, 5.2, 5.3. | 5.1: 5, 6, 11, 12. 5.2: 1, 3, 12. 5.3: 4, 6, 13. (due Wed. 11/26) |
11/17 | Monotonicity and inverse functions. The Derivative. The Mean Value Theorem. | 5.6, 6.1, 6.2. | |
11/24 | Second midterm on monday, 11/24.
Nothing of substance on 11/26, No class 11/28 (thanksgiving) |
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12/1 | The Riemann Integral | 7.1, 7.3 | |
12/8 | Student presentations of projects. | ||
12/15 | Dec. 15 follows a thursday schedule so no class this week. | ||
Final Exam, Monday 12/22 at 2pm |