# Approximate Schedule for Math 319

## Fall 2008

 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) 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