Math 233

DRAFT Syllabus

Section | Day/Time | Room Location | Instructor |
---|---|---|---|

1 | MWF 9-10 | Prof Blake Thornton | |

2 | MWF 10-11 | Prof Blake Thornton | |

3 | MWF 12-1 | Brown 118 | Prof Steven Frankel |

4 | MWF 1-2 | Wilson 214 | Prof Steven Frankel |

5 | MWF 2-3 | Wilson 214 | Prof Wanlin Li |

**Instructors:**-
**Prof Blake Thornton**

Office: Cupples 1, Room 108A

Email: bthornton@wustl.edu

Office Hours: See**Google Course Calendar****Prof Steven Frankel**

Office:

Email: s.cao@wustl.edu

Office Hours: See**Google Course Calendar****Prof Wanlin Li**

Office:

Email: rrudy@wustl.edu

Office Hours: See**Google Course Calendar**Google Calendar of Math 233 Office Hours Math Help Room Schuedule **Assistants to Instructors**-
Name Email Sections TBA TBA TBA **Lecture:**- Lecture is MWF every week. You must attend this.
**Communication:**We will make announcements in canvas announcements. If you have questions about the material, please visit office hours or post in Piazza (linked in canvas). If you have administrative questions, please email and copy in all instructors (Prof Thornton, Prof Cao and Prof Rodsphon).**Help and Assistant Office Hours:**Mathematics Help Room.- You are encouraged to attend at any open time--all available assistants should be able to help you with our course.
**Syllabus**- At the link above (which should take you to the bottom of this page), you can find information on textbook, discussion sections, help, clickers, calculators, homework, PLTL, study suggestions, exams, grades, grading scale and more.
**Tentative Schedue:**- The schedule is tentative and will be updated regularly.

We will do our best to follow this schedule but don't be surprised if topics are shifted from one week to another as the semester progresses. -
**Week****Dates****Sections Covered****Notes**1 Mon Aug 29 1: The Geometry of R3

1.1: R3 and Basic GraphsTues Aug 30 Discussion Sections Wed Aug 31 1.2: Functions, Limits, Continuity Fri Sept 2 1.3 Graphing and Slices 2 Mon Sept 5 No Class: Labor Day Tues Sept 6 Discussion Sections Wed Sept 7 1.4 Vectors and Lines Fri Sept 9 1.5 Dot Products, Angles and Projections 3 Mon Sept 12 1.6 Determinants and Cross Product Tues Sept 13 Discussion Sections Wed Sept 14 1.7 Planes Fri Sept 16 2 Parametric Curves and Surfaces

2.1 Parametric Curves4 Mon Sept 19 2.2 Calculus of Curves Tues Sept 20 Discussion Sections Wed Sept 21 2.3 Coordinates: Polar, Cylindrical, Spherical Fri Sept 23 2.4 Parametric Surfaces 5 Mon Sept 26 3 Differential Calculus of Multivariable Functions

3.1 The DerivativeTues Sept 27 Discussion Sections Wed Sept 28 3.2 Tangent Planes and Approximations Fri Sept 30 3.3 Chain Rule 6 Mon Oct 3 3.4 Directional Derivatives Tues Oct 4 Discussion Sections Wed Oct 5 3.5 Local Extrema Fri Oct 7 3.6 Global Extrema 7 Mon Oct 10 No Class: Fall Break Tues Oct 11 Discussion Sections Wed Oct 12 3.7 Lagrange Multipliers Fri Oct 14 4 Integral Calculus of Multivariable Functions

4.1 Double and Triple Integrals over Rectanglar Regions8 Mon Oct 17 4.2 Double Integrals over General Regions Tues Oct 18 Discussion Sections Wed Oct 19 4.3 Triple Integrals over General Regions Fri Oct 21 4.4 Change of Variables 9 Mon Oct 24 4.5 Polar Coordinates Tues Oct 25 Discussion Sections Wed Oct 26 4.6 Cylindrical Coordinates Fri Oct 28 4.7 Spherical Coordinates 10 Mon Oct 31 4.8 Surface Area and Surface Integrals Tues Nov 1 Discussion Sections Wed Nov 2 5 Vector Calculus

5.1 Vector FieldsFri Nov 4 5.2 Vector Line Integrals and Work 11 Mon Nov 7 5.3 Fundamental Theorem and Independence of Path Tues Nov 8 Discussion Sections Wed Nov 9 5.4 Surface Integrals of a Vector Field, Flux Integrals Fri Nov 11 5.5 Stokes' Theorem 12 Mon Nov 14 5.6 Green's Theorem: Stokes' Theorem for the Plane Tues Nov 15 Discussion Sections Wed Nov 16 5.7 Divergence Theorem Fri Nov 18 13 Mon Nov 21 Tues Nov 22 Discussion Sections Wed Nov 23 Thanksgiving Break: NO Class Fri Nov 25 Thanksgiving Break: NO Class 14 Mon Nov 28 Tues Nov 29 Discussion Sections Wed Nov 30 Fri Dec 2 15 Mon Dec 5 Tues Dec 6 Discussion Sections Wed Dec 7 Fri Dec 9 Last Day 15 Final Exam **Text 0 (Lecture Notes):**Calculus 3 Lecture Workbook-
You will almost certainly want a physical copy of this to work through as it contains the
problems that we will work through in lecture.
Solutions/answers will be posted in the schedule above as we work through the book.

**Feedback from students:**Most, but not all previous students generally reported this text as being useful. Many students reported that every student should be required to have a physical copy of this workbook.

**Old Editions:**You will want the current edition of this---everything has been completely reworked and an old edition won't work. **Text 1 (Textbook):**In the past I have recommended traditional textbooks. I still like these books, but I have found that most students do not find these useful and more of a waste of money. That said, here are two recommendations:- Stewart, Calculus, Edition 7 (any edition is fine) This is a nice textbook, and a used copy is easy to find. It is especially good for examples and exercises.
- Lang, Calculus of Several Variables This is a nice mathematics book. The writing is great. The theory is great, but it is a bit light on exercises and practical problems. It is also a bit more expensive, but I like the book.

**Are you in the right class?**We want you to succeed, without repeating a large amount of material.**Math 131 Calculus 1:**Limits, Derivatives, maxima and minima, L'Hopital's Rule**Math 132 Calculus 2:**Integration, area, volumes, surface area, infinite series, Taylor series**Math 233 Calculus 3:**Three space, partial derivatives, multiple integration, Green's theorem and vector calculus**Google Course Calendar**:- You can find a calendar on the course including instructor office hours below.
**Discussion Sections**- You will meet with your Assistant to Instructor (AI) every Tuesday (starting with the first Tuesday of classes). In these meetings, you will learn new material and topics as well as work on problem solving. Come to these meetings prepared by doing your homework. You will have group work to do that will be graded and part of your grade.
**Where to go for Help:**- Instructor Office Hours.
- Assistant to Instructor Office Hours: Mathematics Help Room. Available M-F between 10AM-4PM.
- The Learning Center
- Engineering Tutoring Services (only available to EN students)
- RPMs

**Peer Led Team Learning (PLTL)**- The
PLTL program
is voluntary but highly recommended.
If you want to participate, you must sign up the first week of class
by completing an application:
PLTL Applications

Applications are available on Aug 30 and will be closed on Friday Nov 3. - Learning Center: PLTL Page
**Calculators:**- While you are free to use any calculator for your homework,
you will not be allowed to use a calculator for exams:

**NO CALCULATOR ALLOWED FOR EXAMS** **Canvas**- You can find your grades, access WeBWorK and more at Canvas. All the sections are merged into section 1, so log on to Math 233, section 1.
**WeBWorK**- Webwork is due every Wednesday evening.
- To log in, go to Canvas and click on "Assignments."
- You will do weekly homework online. You are responsible for making sure this is done by the due date.
**Important!**There may be more than one set due each week!**Collaboration:**Feel free to work together but remember, you have to be able to perform by yourself on exams!**Recommended Homework**- The textbook contains an enormous number of homework exercises at the end of each section. You will get the most out of the course if you do all of these. I will recommend a subset of these problems for you to focus on. These will not be collected or graded.
**Exams:**- Exams will be a mix of multiple choice questions (probably around 15-20 of these) and hand graded questions (probably 2 of these).
- The final exam will be entirely multiple choice.
- You will not be allowed anything other than writing tools at the exams.
- Find your room and seat before the exam: Exam Seating
- Find your multiple choice score the day after the exam here: (Update: Fall 2021 we changed multiple choice systems, MC grades won't be available right away, sorry!!)
- View past exams here: Old Exams (some semesters are more helpful than others).

- Find all your grades here: Canvas. Webwork grades will be uploaded to Canvas at the end of the semester.
- Do not miss an exam. Make up exams (one different days) are not given. If something happens (you are sick, family emergency, etc) contact Prof. Blake Thornton as soon as possible. You may be able to receive an excused absence for one exam. (Make-up exams are not allowed but we do excuse exams so that the missing grade will not impact your final grade.)
- The final exam covers all material from the course.
- The Exam schedule can be found on this page, in the course description in Webstac.
**Curving**:- If the average of the exam is below 75% then all exam scores will be adjusted upwards by adding a constant to everyone's score so that the average is 75%.
- If the average of an exam is above 75%, no adjustments will be made.
- Example: You get a 80% on Exam 1 and the actual average of Exam 1 is 50.0%. Thus, everyone will receive 25.0 "curve points" for Exam 1. Your score (to be used in grade calculations) for Exam 1 will therefore be 105%.

**Exam Schedule**-
Exam Schedule Exam 1 Wed Nov 22, 6:30-8:30PM Exam 2 Wed Nov 20, 6:30-8:30PM Exam 3 Wed Nov 17, 6:30-8:30PM Final Thurs Dec 16, 3:30-5:30PM **Final Exam**- The final exam will be as scheduled.
**Study Suggestions - What to do daily and weekly**- Read the relevant section in the Stewart text before attending lecture.
- Do all the problems in the workbook! (It is okay to skip those marked "overkill" or "difficult".)
- Do the WebWork homework early.
- Do the Recommended Problems from the Stewart text.
- Go to your discussion section prepared.
This means that you have:
- Read the relevant sections in the Stewart text.
- Worked on the relevant workbook problems.
- Looked at and at least started the WeBWorK problems.

- Go to PLTL (if you are signed up) or do the PLTL problems (they are typically available after the PLTL groups get them).
- If you don't understand something, visit your instructor and Assistant office hours. You can see Mathematics Help room for assistant office hours and other suggestions on where to get help.

**What to do every week?**- Read the Stewart text for the relevant sections to be covered.

(Hint: Most students don't do this. If you do this you will be ahead of the curve.) - Tuesday: Attend your discussion section.
- Do the additional workbook problems that weren't in the lecture. (You can find answers in "Canvas-->Files".)
- Attend help sessions, office hours and the Mathematics Help Room if (when) you get stuck on the workbook problems, webwork problems or you just don't understand. Drop by any of those locations and just hang out--maybe someone will ask a question you have.
- Attend PLTL on the weekend if you have signed up for PLTL.
- Attend RPM hours for help.
- Do the Webwork homework.
- Look at the
**Google Course Calendar**.

- Read the Stewart text for the relevant sections to be covered.
**Grades:**Your final grades will be computed according to the following formula and grading scale.-
Grade = 0.75*( E1 + E2 + E3 + 2*E4 - min(E1, E2, E3, E4))/4 + 0.15*(WeBWork) + 0.10*(GroupWork)

Basically this means that all exams are weighted equally and worth 75% of your grade. The final exam can replace your lowest semester exam. Webwork is worth 15% of your final grade, discussion sections are worth 10%. We will drop the lowest three discussion section grades, the lowest five webworks. (We increased the number of webwork drops to 5 because you do not have to do Green's Theorem webwork, but you can do that assignment in order to drop a different webwork that is low.) A note on webwork grades: There may be multiple webwork assignments due every week. In computing your grade, we will scale these so they are all equally weighted and use these scaled scores for computations.**A note on rounding:**For example, the A- interval is [85,90). This means that anything in this interval is an A- (i.e., no rounding).A+ TBA A [93,infinity) A- [90,93) B+ [87,90) B [83,87) B- [80,83) C+ [77,80) C [73,77) C- [70,73) D [60,70) F [0,60) - Pass/Fail Policy: You must get at least a C- to earn a "Pass".
**Disability Resources (DR):**- Special accommodations for exams are offered to students who have registered in a timely manner at Disability Resources (DR). Information about DR may be found at https://students.wustl.edu/disability-resources/. For our class, this means that you must let your instructor know of your accommodation and we will work with you.
**Covid Policies:**- Students are expected to follow university-mandated COVID safety procedures.
- If you are sick, quarantined, or do not pass WashU self-screening, do not come to class in person. Watch the recorded lecture for that day instead.
- If you miss a discussion section that will count as one of your dropped discussion section (that is what hey are for). If you miss an exam, let us know.
**Class Recordings:**- We will be doing our best to record, through zoom, one lecture every day of lecture. Students will not be admitted into class via zoom but can view the recording after the lecture when we post it in canvas.
- There are also videos from 2020 that you might find helpful. You can find these in Canvas
- I am 150% certain that the value you get from attending class will be much greater than watching any videos.

- MathWhiteBoard
- Wolfram Alpha
- Geogebra 3D
- Geogebra 2D
- Parametric Surface Plotter
- Paul Seeburger's CalcPlot3D
- CalcPlot3D
- Sage
- Gnu Plot
- Maxima
- Octave
- Calculus Page Problems by D Kouba
- eCalculus.Org
- Slader Stewart Textbook Solutions