| DATE | ASSIGNMENT |
| 08/26 |
Review and Preparation,
Part I Proof Templates |
| 08/28 |
HW:
Review
and Preparation, Part II (includes homework assignment) HW: Section 1, p. 5: #1, 2, 5, 6, 8, 11 Peano Axioms and Expanding Number Systems |
| 08/30 |
HW: Finish proving the Rational
Zeroes Theorem HW: Section 2, p. 12: #1(sqrt(7)), 2(4thrt(13)), 5, 6 |
| 09/02 |
Labor Day Holiday |
| 09/04 |
Field
Properties and Their Consequences HW: Finish proving the remaining parts of the Consequences of Field Properties and Consequences of Ordered Field Properties Due Friday 09/06: Section 1.1-1.2 and Rational Zeroes Theorem (finished proof) |
| 09/06 |
HW: Finish proof of |ab| = |a| |b|
(cases 2 &4). Cases 1 & 3 done in
class HW: Section 3, p. 19: #5, 6, 7, 8 [Section 3 Homework Hints] Complete the first 4 colums of the Bounds worksheet before class next time. |
| 09/09 |
HW: Finish the Completeness
and Archimedean Property Worksheet and
#1(Corollaries) on p.2. |
| 09/11 |
HW: Section 4, p.
26: #1-4(a, e, i , m, q, u, w), 7(b), 8, 10, 11,
14 HW: Prove the following: Let A be a nonempty subset of R that is bounded above. If x < sup(A), then there is an element a in A such that x < a <= sup(A). |
| 09/13 |
Questions over Section 4 No New Homework |
| 09/16 |
HW: Section 7, p. 38: #1, 2,
3(b, h, k, l, m, p, q), 5(a, b) Quiz 1 postponed until Friday, September 20 |
| 09/18 |
HW: Section 8, p. 38: #1, 2,
8(a,b) Quiz Friday 9/20 over Sections 3 and 4 (Chapter 1) |
| 09/20 |
Quiz 1 Solutions No new homework |
| 09/23 |
HW:
Limit
Laws Worksheet
(Finish #4-5) [Proof of Claim -- done in Section
8, Example 6] HW: Section 8, p. 44: 3, 4, 5 ,6(a) HW: Section 9, p. 54: #1, 2, 5, 6 |
| 09/25 |
Questions over homework. No new
homework Sections 7 and 8 due Friday 9/27 |
| 09/27 |
Continue with Limit Laws in Section
9. No new homework. |
| 09/30 |
Review for Exam 1 Exam 1 List of Terms and Named Theorems |
| 10/02 |
Exam 1
Solutions |
| 10/04 |
HW: Finish the proof from
class (re-writing the proof of Theorem 9.10 from the
book) HW: Section 8, p. 44: #7 HW: Section 9, p. 54: #8, 9. Read through other diverging sequence limit laws #10-12 and give examples of specific sequences that illustrate the law, but do not prove them. Read and understand #13-15, but do not prove. Do #16 Quiz postponed to 10/23 Presentations postponed to week of October 16 & 18. |
| 10/07 |
HW: Read through Theorem 10.2 and
its proof. Rewrite the proof in your own style. |
| 10/09 |
HW: Section 2.10, p. 64: #1,
4(10.2 only), 7, 8, 9, 10 Examples for lim inf sn and lim sup sn Finish the examples on the worksheet. |
| 10/11 |
Class cancelled |
| 10/14 |
Fall Recess -- No Classes |
| 10/16 |
Need to update |
| 10/18 |
Need to update |
| 10/21 |
Need to update |
| 10/23 |
Need to update |
| 10/25 |
HW: Section 12, p. 76:
#1(Ignore sigma, just state n_k), 2-4 HW: Rewrite the construction by induction part of the in-class proof as a formal induction proof. |
| 10/28 |
Campus Closed - Classes Cancelled |
| 10/30 |
Geometric
Series No new homework. [Feel free to start #2 Homework on the worksheet] |
| 11/01 |
HW:
Cauchy
Criterion Worksheet HW: Section 15: #5, 6, 9 HW: Telescoping Problem (found at the end of the Cauchy Criterion Worksheet) HW: The Integral Test Worksheet |
| 11/04 |
HW:
Limit Comparison Test HW: Integral Test and Comparison Test -- Miscellaneous Problems |
| 11/06 |
Need to update Take-Home Quiz 2 Solutions |
| 11/08 |
HW: Alternating
Series and Absolute Convergence HW: Section 2.14, #7, 8 [Hint: Comparison Test(s)], Section 2.15 #6 |
| 11/11 |
HW: Section 14 #1(a,b,e), 2(a,d,e), 3(a,c,d),
4(a,c) |
| 11/13 |
Review for Exam 2 |
| 11/15 |
Exam 2
Solutions |
| 11/18 |
HW: Section 17: #1, 2, 4, 5 |
| 11/20 |
HW: Section 17: #6[does not
use epsilon-delta], 10 |
| 11/22 |
HW: Section 17: #9 HW: Continuity (epsilon-delta Property) |
| 11/25 |
HW: Section 19: #1, 2, 3 Important: Class on 11/27 will be held online. Check you email for accessing the class session on Blackboard Section 17 and Continuity Worksheet due Sunday, 12/1 by noon |
| 11/27 |
Online Class on Blackboard Limits of a Function HW: Section 20: #1, 2, 5*, 6*, 9, 10* [11-14 Use Limit Laws/Theorems] *Use sequence definition(s). |
| Thanksgiving Break! |
|
| 12/02 |
Derivatives Differentiation Rules HW: Finish Worksheet(s) HW: Finish Worksheet(s) and Section 28: #1, 2, 3,6, 7, 14(a) |
| 12/04 |
Absolute
Extrema Theorem and Intermediate Value Theorem Rolle's Theorem and The Mean Value Theorem HW: Finish Worksheet(s) HW: Section 18 #6, 7, 5(a). [How would the work for the example above and/or #6, 7 change if you used the result of #5(a)?] HW: Section 29: #1, 3(a) |
| 12/06 |
Review for Final Exam |
| Click link for Finals Week Schedule and Office Hours | |
| 12/09 |
Monday Optional Review Session (aka Office Hours) 9:15am - 10:15am Final Exam 10:30am-12:30pm The Final Exam covers the entire semester. Office Hours 2:45pm - 3:45pm |