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

53185 | Tuesday & Thursday 12:30 - 14:00 | Zoom: 997 8164 1087 |

53190 | Tuesday & Thursday 12:30 - 14:00 | Zoom: 997 8164 1087 |

53225 | Tuesday & Thursday 15:30 - 17:00 | Zoom: 992 0871 5239 |

53230 | Tuesday & Thursday 15:30 - 17:00 | Zoom: 992 0871 5239 |

Instructor:
Florian Stecker

e-mail: stecker@utexas.edu

office hours:

Tuesday | 17:00 - 18:00 | Zoom: 945 9443 6840 |

Wednesday | 10:00 - 11:00 | Zoom: 943 5713 1454 |

Thursday | 14:00 - 15:00 | Zoom: 990 5841 4324 |

Discussion sessions:

53185 | Monday & Wednesday 11:00 - 12:00 | Skye Tian | Zoom: 941 1299 8370 |

53190 | Monday & Wednesday 17:00 - 18:00 | Skye Tian | Zoom: 997 1385 8969 |

53225 | Monday & Wednesday 10:00 - 11:00 | Yunhui Cai | Zoom: 919 4084 6003 |

53230 | Monday & Wednesday 16:00 - 17:00 | Yunhui Cai | Zoom: 984 5554 6000 |

TAs:

Yuyao (Skye) Tian | skyetian@utexas.edu | office hours Wednesday 14:00 - 15:00 | Zoom: 932 7635 4105 |

Yunhui Cai | caiyh@utexas.edu | office 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) | notes: 185/190 225/230, recording |

Dec 3 | double integrals, more examples | notes: 185/190 225/230, recording |

Dec 10 | exam 3 | solutions |

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).

Some voluntary extra problems for the last block of the class are here (and solutions here). There were mistakes in problems 3b and 5, they are fixed now. Number 4 is pretty difficult and maybe more of a puzzle to solve during the break instead of a preparation for the exam.

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:

- Exam1: Tuesday, September 29
- Exam2: Thursday, October 29
- Exam3: Thursday, December 10

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.