M408D (53185/53190/53225/53230): Calculus 2

Place & Time: Fall 2020, online on Zoom; all times are in the Austin time zone (CT)

53185Tuesday & Thursday 12:30 - 14:00 Zoom: 997 8164 1087
53190Tuesday & Thursday 12:30 - 14:00 Zoom: 997 8164 1087
53225Tuesday & Thursday 15:30 - 17:00 Zoom: 992 0871 5239
53230Tuesday & Thursday 15:30 - 17:00 Zoom: 992 0871 5239

Instructor: Florian Stecker
e-mail: stecker@utexas.edu

office hours:
Tuesday17:00 - 18:00 Zoom: 945 9443 6840
Wednesday10:00 - 11:00 Zoom: 943 5713 1454
Thursday14:00 - 15:00 Zoom: 990 5841 4324

Discussion sessions:

53185Monday & Wednesday 11:00 - 12:00Skye Tian Zoom: 941 1299 8370
53190Monday & Wednesday 17:00 - 18:00Skye Tian Zoom: 997 1385 8969
53225Monday & Wednesday 10:00 - 11:00Yunhui Cai Zoom: 919 4084 6003
53230Monday & Wednesday 16:00 - 17:00Yunhui Cai Zoom: 984 5554 6000

TAs:

Yuyao (Skye) Tianskyetian@utexas.eduoffice hours Wednesday 14:00 - 15:00 Zoom: 932 7635 4105
Yunhui Caicaiyh@utexas.eduoffice hours Wednesday 14:00 - 15:00 Zoom: 946 6656 9928

Textbook: Calculus: Early Transcendentals, 8th edition, by James Stewart

Schedule
We roughly follow the standard syllabus for 408D. Stewart sections are given in paratheses. The recordings are usually from the 225/230 lecture, but I publish notes from both (should be almost identical).

Aug 27 Functions and derivatives notes: 185/190 225/230, recording
Sep 1 Fundamental theorem of calculus, substitution, integration by parts (7.1) notes: 185/190 225/230, recording
Sep 3 Trigonometric functions review (Appendix D), trigonometric integrals (7.2) notes: 185/190 225/230, recording
Sep 8 More trigonometric integrals notes: 185/190 225/230, recording
Sep 10 integration of rational functions (7.4) notes: 185/190 225/230, recording
Sep 15 trigonometric substitution (7.3) notes: 185/190 225/230, recording
Sep 17 improper integrals (7.8) notes: 185/190 225/230, recording
Sep 22 differential equations (9.1) notes: 185/190 225/230, recording
Sep 24 separable differential equations (9.3) notes: 185/190 225/230, recording
Sep 29 exam 1 solutions
Oct 1 linear differential equations (9.5), direction fields (9.2) notes: 185/190 225/230, recording
Oct 6 sequences: definition of convergence, limit rules (11.1) notes: 185/190 225/230, recording
Oct 8 squeeze and monotone convergence theorems (11.1), series (11.2) notes: 185/190 225/230, recording
Oct 13 the integral test (11.3), the comparison test (11.4) notes: 185/190 225/230, recording
Oct 15 the ratio and root tests (11.6), alternating series (11.5) notes: 185/190 225/230, recording
Oct 20 power series (11.8, 11.9) notes: 185/190 225/230, recording
Oct 22 Taylor series (11.10) notes: 185/190 225/230, recording
Oct 27 more power series and review notes: 185/190 225/230
Oct 29 exam 2 solutions
Nov 3 parametric curves (10.1) notes: 185/190 225/230, recording
Nov 5 parametric curves: tangents, length, curvature (10.2, 13.3) notes: 185/190 225/230, recording
Nov 10 polar coordinates (10.3, 10.4) notes: 185/190 225/230, recording
Nov 12 functions of multiple variables (14.1, 14.2) notes: 185/190 225/230, recording
Nov 17 partial derivatives (14.3) notes: 185/190 225/230, recording
Nov 19 the chain rule (14.5) notes: 185/190 225/230, recording
Nov 24 double integrals (15.1, 15.2) notes: 185/190 225/230, recording
Dec 1 double integrals in polar coordinates (15.3)

Homework: I will post a homework sheet on Quest every week. These are due every Friday at 3 pm. You are allowed (and encouraged) to work in groups of two or three. However, do not copy solutions or look them up on the internet! Some extra practice problems which are meant to be a bit harder can be found here (and solutions for all but the last two of them here).

Piazza: Piazza is an online forum in which you can ask questions and your classmates, the TA or the professor can answer them. You could use it for example if you are stuck on a problem, or you didn't understand something that was said in class, or for anything else that comes to your mind (as long as it's at least slightly class related). It can be extremely useful - if many of you participate and ask/answer questions! You can find our Piazza forum here.

Exams: We will have three exams. You will have 90 minutes to work on each of them. You can choose the time slot arbitrarily, as long as it is on the exam day. I recommend doing it during the class time. The dates are:

Grading: The final grade will be a weighted average of homework (60%) and exams (40%). The lowest score of each the homeworks and the exams will be dropped. The precise computation goes as follows. Decide one homework sheet and one exam to drop. Add the scores (up to 10 on each problem) you got on each of the remaining problems and divide this by the maximal possible total score on these problems (this number depends on which homework you dropped). Multiply the result by 0.6 and add 0.2 times points on the exam divided by maximal points on that exam (21 and 18 for #1 and #2) for each of the two exams you didn't drop. Do not round at any step. Then convert the result to a letter grade using this table.

93% - 100%A
90% - 93%A-
87% - 90%B+
83% - 87%B
80% - 83%B-
77% - 80%C+
73% - 77%C
70% - 73%C-
60% - 70%D
0% - 60%F

Syllabus: Here you can find the first day handout which contains the information from this website plus some rules and disclaimers.