MTH 311: ADVANCED CALCULUS

LECTURE: MWF 1400 - 1450 BEXL 416 CRN 36194
RECITATION: W 1300 - 1350 BEXL 416
Instructor: R.E. Showalter Kidder 286 show@math.oregonstate.edu
HW Grader: Dwight Holland CLC Sundays, 7-10pm
Office Hours: Mondays 1500, Wednesdays 1600, and by appointment.
Rigorous development of calculus: axiomatic properties and topology of the real line, convergence of sequences and series, limits and continuity of functions, derivatives and Riemann integration. Rigorous mathematical writing will be emphasized.
Prerequisites: MTH 255 or MTH 255H, and MTH 355, both courses completed with grade of C- or better.
Text: Fitzpatrick, Advanced Calculus, 2nd edition, 2009, ISBN 9780821847916
Accommodations for students with disabilities are determined and approved by Disability Access Services (DAS). If you believe you are eligible for accommodations but have not obtained approval, contact DAS immediately at 541-737-4098 or at their website. DAS notifies students and faculty members of approved academic accommodations and coordinates implementation of those accommodations. While not required, students and faculty members are encouraged to discuss details of the implementation of individual accommodations.
Grading: Homework (HW) = 50%, Quizzes (QU) = 10%, Midterm & Final Exams = 20% each.
Homework will be assigned Wednesdays and collected in class Fridays. Late Homework will not be accepted; the lowest HW score will be dropped.
The Quiz and Midterm dates will be announced, usually on Wednesdays. Check the website for current information. The lowest Quiz score will be dropped.
Midterm Exam: 2/08. Final Exam: 3/22, 1200-1400.
Schedule:
1. Snow Day (1/09)
2. Preliminaries & Appendix A, pp. 1-4, 559-564; HW p. 564: 1, 2, 3 due Friday.
3. 1.1 Completeness, pp. 6-11.
4. MLK Holiday (1/16)
5. 1.1, 1.2. HW: 1.1: 1, 15, 17, 19 due Friday.
6. 1.2 Integers & Rationals.
7. 1.3 Inequalities. HW: 1.2: 5 & 1.3: 4, 8, 12 due Friday. (1/23)
8. 2.1 Convergent Sequences. Quiz #1 on Ch 1.
9. 2.2 Closed sets.
10. 2.3 Monotone. HW: 2.1: 2a, 3b & 2.2: 2 & 2.3: 3 due Friday. (1/30)
11. 2.4 Compactness
12. 3.1 Continuity. Quiz #2 on 2.3 & 2.4.
13. Review: Extended Office Hours (2/06)
14. Midterm Chapters 1 & 2.
15. 3.1, 3.2.
16. HW: 3.1: 7, 13; 3.2: 3, 7 due Friday. (2/13)
17. 3.3 Intermediate-value Thm.
18. 3.4.Uniform continuity.
19. 3.5: Continuity again. (2/20)
20. Quiz #3 on 3.5: 1-5.
21. 3.6: Monotone functions, powers, roots.
22. 3.7: Limits. (2/27)
23. Review
24. 4.1: Derivative. (No Homework due today)
25. 4.2, 4.5: Inverse & composition. HW: 3.6: 2, 4, 13 due Friday. (3/06)
26. 4.3: Mean-Value Thm & Applications.
27. 6.1: Upper & lower integrals.
28. 6.2: Riemann theorem: monotone or step fucntions. (3/13)
29. 6.3-6.5: Continuous functions and derivatives.
30: Review: Chapters 2,3,4: All definitions, HW problems, Main Theorems, and 6.1:4; 6.2:3; 6.3: 6.

Review session (Dwight Holland): BEXL 103 from 10 am to noon on Monday, 3/20.
Office Hours: (Showalter): 2-4pm, Monday, 3/20.