Instructor: Brant Jones
Email: brant at math dot ucdavis dot edu
Office: Mathematical Sciences Building 3147
Class Meetings: MWF 9:00 am - 9:50 am in Wellman Hall Room 202
TA: Matt Rathbun, (mrathbun at math dot ucdavis dot edu)
Discussion section: F 8:00 am - 8:50 am in Wellman Hall Room 202
TA Office Hours: Wednesday 10:00 am - 11:00 am and Thursday 1:00 pm - 2:00 pm in MSB 2125.
Office Hours: Tuesday 11:30 am - 12:30 pm and 1:30 pm - 3:00 pm, Wednesday noon - 1pm in MSB 3147, or by appointment.
Final exam: Friday Dec. 14, 10:30 am - 12:30 pm in our usual room.
Final grades have been posted and exam solutions are available. I would like to thank each of you for all of your hard work this quarter!
Matt Rathbun will be holding regular office hours this week, and has kindly offered the following final review problems (with commentary). You might see if you can spot the flaws in the false arguments before reading his explanations...
Math cafe is a free-form peer study group available to any interested party. We provide an informal environment where individuals can help each other or receive help from grad students. The main focus is on females as they are an underrepresented minority in mathematics, but all people are welcome to visit. Come for snacks, conversation and answers to all your math concerns. We meet every Monday 5-7 pm in 114 North Hall inside the Women's Center Library. For more information, see http://wrrc.ucdavis.edu/mathcafe/
Some solutions from the most recent homework have been posted below. Also, the grader has offered the following comments on your homework solutions:
1) Be more rigorous. Most students have the right idea, but aren't proving and justifying answers enough. Use theorems, lemmas, and precise definitions to support your argument. When you say things are bounded, show how. When using induction, clearly show where you're using your inductive hypothesis.
2) Read the theorems carefully. Many students are using them incorrectly. They're useful, but you have to know exactly what conditions are necessary in order to use them.
3) Write arguments clearly. If the argument is just taking a random stab at the problem, it will not receive full points. If you have a solid argument, you should communicate it solidly.
Also, Matt Rathbun has kindly offered the following review problems (with solutions).
| September 28: | Discuss sets and axioms. Discuss 1.1. |
| October 1: | Discuss 1.1. Read sections 1.1-1.2. |
| October 3: | Discuss 1.2. |
| October 5: | Discuss 1.3. Homework 1 due! (1.4, 1.6, 1.9, Polya's paradox) |
| October 8: | Discuss 1.3. |
| October 10: | Discuss 1.4. |
| October 12: | Discuss 1.4, 1.5. Homework 2 due! (2.4, 3.4, 3.6, 3.8, 4.4 (g, j, q, s, t, u, v), 4.8, 4.10, 4.14) |
| October 15: | Discuss 2.7. (We will not be covering 1.6 in this class.) |
| October 17: | Discuss 2.8. |
| October 19: | Discuss 2.8, 2.9. Homework 3 due! (5.6, 7.3 (a, c, d, e, o, r, s, t), 7.4, 8.2 (a, c, e)) |
| October 22: | Discuss 2.9. |
| October 24: | Discuss 2.9. |
| October 26: | Discuss 2.10. Homework 4 due! (8.4, 8.10, 9.2, 9.4) |
| October 29: | Discuss 2.10. |
| October 31: | Discuss 2.10. |
| November 2: | Discuss 2.11. Homework 5 due! (9.11, 9.12, 9.14, 9.18, 10.1, 10.6, 10.10) |
| November 5: | Discuss 2.11. |
| November 7: | Discuss 2.12. |
| November 9: | Midterm review. Homework 6 due! (11.4, 11.10, 12.4, 12.10, 12.14) |
| November 12: | No class. |
| November 14: | Midterm exam. |
| November 16: | Discuss 2.13. |
| November 19: | Discuss 2.13. |
| November 21: | Discuss 2.13. |
| November 23: | No class. |
| November 26: | Discuss 2.13. |
| November 28: | Discuss 2.14. |
| November 30: | Discuss 2.14. Homework 7 due! (13.3, 13.8, 13.10 (a), 13.11) |
| December 3: | Discuss 2.14. |
| December 5: | Discuss 2.15. |
| December 7: | Final exam review. Homework 8 due! (14.2, 14.5, 14.6, 14.11, 15.1, 15.6) |
This class is an introduction to the theory of calculus. Over the course of the quarter, we'll discuss sets, proofs, as well as convergence of sequences and series. The text Elementary Analysis: The Theory of Calculus by Ross is available at the University Bookstore. You can also find it at the Shields Library.
There are several components to the grade you will receive in this class:
No books, notes or calculating devices will be allowed during the exams. There will be no exam makeups.
Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Student Disability Center (SDC). Faculty are authorized to provide only the accommodations requested by the SDC. If you have any questions, please contact the SDC at 530/752-3184 or sdc@ucdavis.edu."