LECTURE: | MWF 1400 - 1450 | BEXL 416 | CRN 36194 |
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RECITATION: | W 1300 - 1350 | BEXL 416 | |

Instructor: | R.E. Showalter | Kidder 286 | show@math.oregonstate.edu |

HW Grader: | Dwight Holland | CLC | Sundays, 7-10pm |

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.

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 theirwebsite. 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.

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.

1.

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.

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.

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.