Flipped Class: This is a flipped class. Before class, you will watch lecture videos asynchronously. During class, I will give targeted "mini-lectures" to explain important points, and you will work in groups on the homework, guided by our teaching assistant and learning assistants.
Class Location: South Hall 1431
Prof. Craig Office Hours: Wednesday 2-3pm and Thursday 10:45-11:45am (SH 6507)
TA Office Hours: Tuesday 5-7pm (math lab) and Wednesday 10:15-10:45am (SH 6431W)
Grading Scheme: quizzes: 5%, homework: 25%, highest midterm: 35%; final: 35%
The grading cutoffs are as follows: [97,100]: A+, [93,97): A, [90,93): A-, ... , [70,73): C-, [0,70): F
If you have questions about the grading of any assignment or exam, you have one week after it is graded to request a regrade.
Prerequisites: Math 8
Textbook: Elementary Analysis by Kenneth Ross, 2nd edition
Using the above link, you can purchase a paperback copy for $39.99 and download a PDF version for free. Do both.
Exams:
- There will two in class midterms and one in class final exam.
- There will be no retaking or rescheduling of exams under any circumstances. Since I understand that unexpected things happen (illness, family responsibilities, etc), I will automatically drop whichever score is lowest: Midterm 1 or Midterm 2.
- In order to reduce time pressure and stress during midterms, I am giving you twice the usual amount of time to take the midterms, while keeping the number of questions the same. You will receive half of the questions on the first day and half on the second day.
- In order to reduce time pressure and stress during the final exam, the number of questions on the final exam will be similar to the number of questions on the midterm exams.
- Incidences of academic dishonesty will be treated harshly.
- Midterm 1: Tuesday, February 6th and Thursday, February 8th
- Midterm 2 Tuesday, March 5th and Thursday, March 7th
- Final Exam: Tuesday, March 19th, 8-11am
Quizzes:
- In order to help motivate everyone to watch the videos before class, each class will begin with a 5 minute quiz over the material discussed in the videos. The quizzes will be very easy if you have watched the videos and taken notes.
- During the quizzes, you are allowed to use your own notes, but not the textbook, the videos, the internet, or another person's notes.
- You must take the quiz while physically in the classroom. Incidences of academic dishonesty will be treated harshly.
- Quizzes will be taken via gradescope.
- I understand that many unexpected things can happen over the course of the quarter (illness, family responsibilities, etc). Consequently, I automatically drop the four lowest quiz grades. No further exceptions will be offered.
Homework:
- Homework assignments will be posted on the course website and will be due Fridays at 11:59pm.
- Homework will be turned in via gradescope.
- Only problems marked with an asterisk (*) should be submitted for grading.
- At least one problem on each of the exams will be chosen from the non-asterisked homework problems.
- I understand that many unexpected things can happen over the course of the quarter (illness, family responsibilities, etc). Consequently, I automatically drop the two lowest homework grades. No further extensions will be offered.
|
| week |
day |
topics/videos |
reading/study materials |
assignments |
| 1 |
1/9 (T) |
N,Z,Q,R & induction (no videos for first class)
|
Sec1-2, appendix
LEC1
|
HW1
HW1SOL |
| 1 |
1/11 (Th) |
Lec2a: Sqrt(2) is not rational
Lec2b: Definition of a field
|
Sec3
LEC2
LEC2_Highlights
|
|
| 2 |
1/16 (T) |
Lec 3a: Ordered field, max, min, bounded above, bounded below
Lec 3b: Supremum, infimum, definition of real numbers |
Sec4
LEC3
LEC3_Highlights
|
HW2
HW2SOL |
| 2 |
1/18 (Th) |
Lec 4a: Archimedean property
Lec 4b: Q is dense in R, unbounded above/below |
Sec5 and 7
LEC4
LEC4_Highlights
|
| 3 |
1/23 (T) |
Lec 5a: Sequences
Lec 5b: Convergence
Lec 5c: Bounded Sequences
|
Sec8
LEC5
LEC5_Highlights
|
HW3
HW3SOL
|
| 3 |
1/25 (Th) |
Lec 6a: Limit of Sum
Lec 6b: Limit of Product |
Sec9
LEC6
LEC6_Highlights
|
| 4 |
1/30 (T) |
Lec 7a: Divergence to Infinity
Lec 7b: Bounded Monotone Sequences Converge |
Sec10
LEC7
LEC7_Highlights
| HW4
HW4SOL
|
| 4 |
2/1 (Th) |
Lec 8a: Unbounded Monotone Sequences Diverge
Lec 8b: Liminf and Limsup |
Sec10
LEC8
LEC8_Highlights
|
| 5 |
2/6 (T) |
Midterm 1a (Covering Lectures 1- 8a)
|
PracMid1
,PracMid1SOL
OfficeHoursVideo_040524
OfficeHoursNotes_040524
Mid1a,Mid1b, Mid1SOL |
|
| 5 |
2/8 (Th) |
Midterm 1b (Covering Lectures 1- 8a)
|
| 6 |
2/13 (T) |
Lec 9: When does Lim = Liminf = Limsup? |
Sec10
LEC9
|
HW5
HW5SOL
|
| 6 |
2/15 (Th) |
Lec 10a: Cauchy sequences
Lec 10b: Cauchy iff convergent; review types of sequences |
Sec10
LEC10
LEC10_Highlights
|
|
| 7 |
2/20 (T) |
Lec 11a: Subsequences
Lec 11b: Main Subsequences Theorem |
Sec11
LEC11
LEC11_Highlights
|
HW6
, HW6SOL
|
| 7 |
2/22 (Th) |
Lec 12: Bolzano Weierstrass |
Sec11
LEC12
LEC12_Highlights
|
|
| 8 |
2/27 (T) |
Lec 13: limsup/liminf & subsequential limits |
Sec12 and 14
LEC13
LEC13_Highlights
|
HW7
HW7SOL
|
| 8 |
2/29 (Th) |
Lec 14a: continuous functions
Lec 14b: continuous functions example |
Sec17
LEC14
Midterm2Review
| |
| 9 |
3/5 (T) |
Midterm 2a (Covering Lectures 1-13) |
PracMid2
PracMid2SOL
Mid2a,Mid2b,Mid2SOL
|
| 9 |
3/7 (Th) |
Midterm 2b (Covering Lectures 1-13)
|
| 10 |
3/12 (T) |
Optional: Lec14z: more examples of continuous functions
Lec 15a: combining continuous functions
Lec 15b: cts functions attain max and min on closed interval | -->
Sec18
LEC14_Optional
LEC15
LEC15_Highlights
|
HW8
, HW8SOL
PracticeFinal,
PracFinalSOL
|
| 10 |
3/14 (Th) |
Lec 16a: intermediate value theorem
|
LEC16, LEC16_Highlights
|
|
| - |
3/19 (T) |
Final Exam, 8-11am |